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Multiplication Word Problem Worksheets

This page hosts a vast collection of multiplication word problems for 3rd grade, 4th grade, and 5th grade kids, based on real-life scenarios, practical applications, interesting facts, and vibrant themes. Featured here are various word problems ranging from basic single-digit multiplication to two-digit and three-digit multiplication. Another set of printable worksheets hone children's multiplication skill by multiplying large numbers. Free worksheets are included.

Single-digit Multiplication Word Problems

The printable PDF worksheets presented here involve single-digit multiplication word problems. Each worksheet carries five word problems based on day-to-day scenarios.

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Multiplication Word Problems: Two-digit times Single-digit

The word problems featured here require a grade 3 learner to find the product by multiplying a two-digit number by a single-digit multiplier.

Multiplication Word Problems: Two-digit times Two-digit

The worksheets presented here involve multiplication of two-digit numbers. Read the word problems and find the product. Apply long multiplication (also known as column multiplication) method for easy calculation.

Theme Based Word Problems

Our engaging theme-based pdf worksheets help young minds understand the fundamentals of multiplication. Answer the word problems based on three fascinating themes - Winter Season, Ice rink and Library.

Multiplication Word Problems: Three-digit times Two-digit

Read the word problems featured in these printable worksheets for grade 4 and find the product of three-digit and two-digit numbers. Write down your answers and use the answer key below to check if they are right.

Three-digit Multiplication Word Problems

Solve these well-researched word problems that involve three-digit multiplication. Perform multiplication operation and carry over numbers carefully to find the product.

Multiplication: Three or Four-digit times Single-digit

The word problems featured here are based on practical applications and fact-based situations. Multiply a three or four-digit number by a single-digit multiplier to find the correct product.

Multi-digit Word Problems: Multiplying Large Numbers

Sharpen your skills by solving these engaging multi-digit word problems for grade 5. Apply long multiplication method to solve the problems. Use the answer key to check your answers.

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Multiplication Tables Online practice

On this page, you can practice any combination of the multiplication tables — very helpful for students in elementary and middle school. You can practice any single times table (such as multiplication by 9), or several tables (such as tables of 2 and 5), or all of them.

You can choose timed or untimed practice, the number of practice problems, and which exact times tables you'd like to work on.

• Multiplication Matching Game
• Math Mammoth Multiplication 1 — a self-teaching worktext helping you learn all the multiplication tables
• Learn and Master the Times Tables! — an interactive course at TinyTap, based on my book Multiplication 1 .
• Mathy's Berry Picking Game
• Structured drill videos for the multiplication tables

Math Mammoth Multiplication 1

A self-teaching worktext that covers the concept of multiplication from various angles, word problems, a guide for structural drilling, and a complete study of all 12 multiplication tables.

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If you have a minute, check out this short & lighthearted video about our PETS. (It's kind of silly, yet has an important message for all of us kids and parents.)

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P.S. It does briefly mention God in one spot.

Multiplication

In these lessons, we will look at some examples of the multiplication of whole numbers.

Related Pages Multiplication Using Fact Families Multiplication Word Problems More Lessons for Arithmetic Math Worksheets

For more practice in multiplication, you could go to our Interactive Math Zone where you can learn the multiplication tables and generate multiplication worksheets according to your needs and get them marked online.

The first number in the multiplication is called the multiplicand, the second number is called the multiplier and the answer is called the product.

The following diagram shows the parts of a multiplication: multiplicand, multiplier and product. Scroll down the page for more examples and solutions on multiplication.

Remember : Any number multiplied by 0 becomes 0.

Example: 1,343,244,654 × 0 = 0.

Multiplication of 2 numbers a and b , written as a × b , is actually a repeated addition of the number a over b times.

Example: 6 × 4 = 6 times of 4 = 4 + 4 + 4 + 4 + 4 + 4 = 24

To multiply numbers with more than one digit correctly, all digits must be placed in the correct position starting from the right.

If the multiplier has 2 or more digits then it is necessary to calculate the partial products first and then add them to get the final product.

Avoid the following common mistakes in multiplication .

Examples A and B have numbers in the wrong positions – wrong place values.

Example C – it is confusing to multiply more than 2 numbers at one time. Multiply the first 2 numbers and then use the result to multiply with the third number to get the final answer.

Multi-Digit Multiplication Single digit multiplier

2-digit Multiplier

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Multiplication

In math, multiplication is the method of finding the product of two or more numbers. It is a primary arithmetic operation that is used quite often in real life. Multiplication is used when we need to combine groups of equal sizes. Let us learn more about multiplication in this page.

What is Multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number .

Example: If there are 6 boxes of cupcakes and each box has 9 cupcakes, find the total number of cupcakes.

Solution: We can solve this question by addition but it would take longer to add these to get the answer. That is, 9 + 9 + 9 + 9 + 9 + 9 = 54 cupcakes. In other words, when we have larger numbers to work upon, then multiplication is useful.

Now, let us use multiplication to solve this problem. We will multiply the number of boxes with the number of cupcakes in each box. If we multiply 6 × 9, we will get the total number of cupcakes, which is 6 × 9 = 54 cupcakes. Thus, we can see that we get the same result in a shorter period of time. This is the reason why multiplication is also termed as repeated addition.

Multiplication Symbol (×)

In mathematics, we have different symbols. The multiplication symbol is one of the commonly used math symbols . In the example given above, we learnt about the multiplication of two numbers 6 and 9. If we observe the expression of multiplication (6 × 9 = 54), we can see that the symbol (× ) connects the two numbers and completes the given expression. Apart from the cross symbol (×), multiplication is also denoted by the mid-line dot operator (⋅) , and by the asterisk sign ( *).

Multiplication Formula

The multiplication formula is expressed as, Multiplicand × Multiplier = Product ; where:

• Multiplicand: The first number (factor).
• Multiplier: The second number (factor).
• Product: The final result after multiplying the multiplicand and multiplier.
• Multiplication symbol: '×' (which connects the entire expression)

Let us understand the multiplication formula with the help of the following expression.

7(multiplicand) × 5 (multiplier) = 35 (product)

Using this basic concept of multiplication let us learn how to solve multiplication problems.

How to Solve Multiplication Problems?

While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables , but for larger numbers, we split the numbers into columns using their respective place values , like ones, tens, hundreds, thousands, and so on. There are two types of multiplication problems:

• Multiplication without regrouping
• Multiplication with regrouping

Let us understand the two cases with the help of examples.

Multiplication Without Regrouping

Multiplication of two numbers without regrouping involves smaller numbers where there is no need to take a carry-over to the next higher place value. It is the basic level that could help a learner understand the basics of multiplication before moving on to the higher level of problems including regrouping. Let us understand this with the help of the example given below.

Example: Multiply 3014 by 2.

• Step 1: Start with the digit in ones place. (2 × 4 = 8)
• Step 2: Multiply 2 with the digit in tens place. (2 × 1 = 2)
• Step 3: Now, multiply 2 with the digit in hundreds place. (2 × 0 = 0)
• Step 4: Now multiply 2 with the digit in thousands place. (2 × 3 = 6)
• Step 5: 3014 × 2 = 6028.

Th H T O 3 0 1 4 × 2 6 0 2 8

Multiplication With Regrouping

Multiplication of more than two numbers with regrouping involves numbers with a 2-digit product. In this type of multiplication, we need to take a carry-over to the next higher place value. Let us understand this with the help of the example given below.

Example: Multiply 2468 with 8

Solution: Let us multiply 2468 × 8 using the steps given below and try to relate them with the figure given after the steps.

• Step 1: Start with the digit in ones place, that is, 8 × 8 = 64 ones which means 6 tens 4 ones. Now, carry 6 tens to the tens column.
• Step 2: Multiply 8 with the digit in the tens place, that is, 8 × 6 = 48 tens. Now, we will add this to the carry-over. This means, 48 + 6 (carry-over from step 1) = 54. Carry 5 to the hundreds column.
• Step 3: Multiply 8 with the digit in the hundreds place, that is, 8 × 4 = 32 hundreds. Now, let us add this to the carry-over from the previous step. This means, 32 + 5 (carry-over from step 2) = 37. We will again carry 3 to thousands column.
• Step 4: Multiply 8 with the digit in the thousands place, that is, 8 × 2 = 16 thousands. So, let us again add this to the carry-over, that is, 16 + 3 (carry-over from step 3) = 19
• Step 5: Therefore, the product of 2468 × 8 = 19744.

Multiplication Using Number Line

Multiplication on a number line means to apply the multiplication operation on a given set of numbers through a number line. A number line is a visual representation of numbers on a straight line. We know that multiplication is also known as repeated addition. So, to perform multiplication on a number line , we start from zero and move towards the right side of the number line for the given number of times.

Example: Multiply 3 × 5 using a number line.

Solution: Observe the following number line to see the working of 3 × 5 = 15. We will start from 0 and move towards the right of the number line We will form 3 groups of 5 equal intervals. This will take us to 15.

The above number line shows 3 times 5 is 15. The representation can also be written as 5 + 5 + 5 = 15. The multiplication statement is expressed as, 3 × 5 = 15.

Multiplication Word Problems

Multiplication word problems can be easily solved by carefully observing the situation and identifying the solution. Let us understand the theory behind the real-life multiplication word problems with the help of an interesting example.

Example: A box contains 245 fruits. Find the number of fruits in 4 such boxes using the multiplication formula.

Solution: To solve such multiplication word problems the easiest way is to note down the given parameters and then solve. Given: The total number of fruits in one box = 245 The number of boxes = 4 Total number of fruits in 4 such boxes = 245 × 4.

Step 1: Start with the digit in ones place. Multiply 4 × 5 = 20. Now carry 2 to the tens column. Step 2: Multiply 4 with the digit in tens place, that is, 4 × 4 = 16. Now, add this to the carry-over from the previous step. 16 + 2 (carry-over from step 1) = 18. From this, carry 1 to the hundreds column. Step 3: Multiply 4 with the digit in hundreds place, 4 × 2 = 8 hundreds. 8 + 1 (carry-over from step 2) = 9. Step 4: Therefore, the product of 245 × 4 = 980.

H T O 1 2 2 4 5 × 4 9 8 0

Therefore, the total number of fruits in 4 such boxes = 245 × 4 = 980.

Tips and Tricks on Multiplication:

Here is a list of a few tips and tricks that can be used while performing multiplication.

• In multiplication, the order of numbers does not matter. So choose the order that you are more comfortable with. When using the multiplication tables, compared to 9 × 4, students may remember 4 × 9 more easily.
• When multiplying three numbers, choose the two numbers that can be multiplied easily. For example, multiplying 5 × 17 × 2 will be difficult if we try to multiply 5 × 17 first. Instead of this, multiplying 5 and 2 gives 10 which can be easily multiplied by 17 to get 170.
• When multiplying a 2-digit number with a one-digit number, it sometimes helps to break the two-digit number as per the place values. Then multiply each part and add. For example, 37 × 4 can be solved mentally by breaking 37 as 30 + 7. Then 30 × 4 = 120 and 7 × 4 = 28. So, the final answer is 120 + 28 = 148. While this may seem more tedious when written down, it is much easier to solve mentally.
• Even if you do not remember the multiplication fact, it can be easily mentally figured out. For example, 17 × 9 is difficult to remember. But this can be restructured mentally as 17 × (10 - 1). So, the answer will be 170 - 17 = 153.

☛ Related Articles

• Long Multiplication
• Multiplication Calculator
• Multiplication Tables
• Multiplication Word Problems Worksheets
• Long Multiplication Worksheets
• Multiplication Worksheets

Multiplication Examples

Example 1: Use multiplication tricks to solve the following multiplication word problem. The price of a book is $48. Find the price of 500 such books.

Solution: Price of one book = $48 Price of 500 books = 500 × 48

H T O 5 0 0 × 4 8 4 0 0 0 +2 0 0 0 x 2 4 0 0 0 _

The price of such 500 books is $24000.

The other way to solve this question is to simply multiply 48 by 5 and attach two zeros with the final answer. So, by multiplying 48 × 5, we get 240. But the given value is 500, so our final product will be $24000.

Example 2: Solve the following multiplication word problem. What is 784 times 44?

Using the multiplication formula, 784 times 44 = 784 × 44

Therefore, 784 times 44 is 34496.

Example 3: State true or false for the following statements using the multiplication facts.

a.) Multiplication represents the basic idea of repeated subtraction.

b.) The multiplication formula is expressed as: Multiplicand × Multiplier = Product

a.) False, multiplication represents the basic idea of repeated addition of the same number.

b.) True, the multiplication formula is expressed as: Multiplicand × Multiplier = Product

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Practice Questions on Multiplication

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FAQs on Multiplication

What does multiplication mean.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number . It is used when we need to combine groups of equal sizes. For example, if 5 baskets contain 4 apples each, then to find the total number of apples we can use multiplication and solve it as 5 × 4 = 20 apples.

Which Formula is Used to Perform Multiplication?

The formula that we use to perform multiplication is 'Multiplicand × Multiplier = Product'. For example, 9 (multiplicand) × 5 (multiplier) = 45 (product)

What are the Properties of Multiplication?

The different properties of multiplication are given below.

• Commutative property of multiplication : The product of two numbers does not change if we change the order of the numbers. This property of multiplication is known as the commutative property of multiplication which is represented as A × B = B × A. For example, 12 × 13 = 13 × 12 = 156.
• Associative property of multiplication : The product of three or more numbers does not change when we change the grouping of the numbers. This property of multiplication is known as the associative property of multiplication which is represented as A × (B × C) = (A × B) × C = B × (A × C). For example, 12 × (13 × 5) = (12 × 13) × 5 = 13 × (12 × 5) = 780.
• Identity property of multiplication : If any number is multiplied by 1, the product is the number itself. For example, 12 × 1 = 12. Here, 1 is the identity element of multiplication.
• Zero property of multiplication : If any number is multiplied by 0, the product is always zero. This is the zero property of multiplication . For example, 12 × 0 = 0.
• Distributive property of multiplication : As per the distributive property of multiplication , when we multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number. This property is also applicable to subtraction and is represented as A × (B + C) = AB + AC, or A × (B - C) = AB - AC. For example, 12 × (13 + 5) = (12 × 13) + (12 × 5) = 216.

What is the Multiplication Symbol?

While performing multiplication, we use a cross (×) symbol which connects the entire expression, this (×) symbol is known as the multiplication symbol. For example, 7 times 4 is 28 can be represented as 7 × 4 = 28.

What are the Parts of Multiplication?

The different parts of multiplication are expressed as follows. Let us understand this with an example: 6 × 4 = 24.

• Multiplicand (Factor): Multiplicand is the first number. In this case, 6 is the multiplicand.
• Multiplier (Factor): Multiplier is the second number. In this case, 4 is the multiplier.
• Product: The final result after multiplying the multiplicand and multiplier. In this example, 24 is the product.

Give an Example of a Multiplication Sentence.

In order to solve a multiplication problem, we need to write it in the form of a multiplication sentence. For example, what is 36 times 9? We know that 36 times 9 is written in the form of a multiplication sentence as 36 × 9 = 324. Here, 36 and 9 are the factors and 324 is the product. So, 36 times 9 is 324.

How is Multiplication Related to Addition?

Multiplication represents the basic idea of repeated addition of the same number. It simplifies the task of repeated addition. For example, if there are 3 packs of pencils and each pack has 6 pencils, let us find the total number of pencils. We can solve this question by addition, that is, 6 + 6 + 6 = 18 pencils. However, when we have larger numbers to deal with, then multiplication is useful. Now, if we use multiplication to solve this problem, we need to multiply the number of packs with the number of pencils in each pack. This means, 3 × 6 = 18 pencils. Thus, we get the same result easily. Hence, multiplication is also termed as repeated addition.

What is the Difference Between Multiplication and Division?

In multiplication, we combine groups of equal sizes, while in division, we split or separate the given number into equal groups. Multiplication is the product of two or more numbers where the numbers that are multiplied are the factors and the result is termed as the product. In division , the number that is divided is called the dividend, the number which divides the dividend is called the divisor and the result is the quotient.

How is Multiplication Used in Everyday Life?

Multiplication is commonly used in our everyday lives. For example, we can calculate the price of the items according to the rate per quantity, we can find the correct quantity of the ingredient to be used in cooking, we can calculate the value of multiple items when the value of 1 item is known, and so on.

What are the Multiplication Strategies?

Multiplication strategies are different ways in which multiplication can be learned. For example, multiplication using a number line, multiplication with the help of a place value chart, separating the Tens and Ones and then multiplying them separately, and so on. These strategies help learners to understand the multiplication concept with a broader perspective.

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Multiplication Worksheets

Multiplication worksheets for grades 2 to 6.

Our multiplication worksheets start with the basic multiplication facts and progress to multiplying large numbers in columns.  We emphasize "mental multiplication" exercises to improve numeracy skills. 

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Problem Solving on Multiplication

Problem solving on multiplication will help us to get the idea on how to solve the basic multiplication statement problems.

1.  Three groups of ponies are eating. There are 2 ponies in each group. How many ponies are there in all?

Solution: 

Number of groups of ponies = 3

Number of ponies in each group = 2

Therefore, total number ponies = 3 × 2 = 6

2.  A coloring-pen cost 4 dollars. How many dollars Alex must have paid for 5 coloring-pens?

Cost of a coloring-pen = $4

Number of coloring-pens = 5

Therefore, cost of 5 coloring-pens = $4 × 5 = $20

3. Andy had 2 groups of toy kittens. There were 5 kittens in each group. He put all the kittens in a basket. How many kittens were in the basket?

Number of groups of toy kittens Andy had = 2

Number of kittens in each group = 5

Therefore, total number of kittens in the basket = 2 × 5 = 10

4. A table has 4 corners. In a classroom there are 8 tables. How many corners do 8 tables have in all?

Number of corners a table has = 4

Number of tables = 8

Therefore, total number of corners 8 tables have = 4 × 8 = 32

More examples on statement problem solving on multiplication:

5. John is 9 years old. His brother is 3 times older than him. How old is John’s brother?

Age of John = 9 years

Number of times his brother is older than John = 3

Age of John’s brother = 9 × 3 = 27 years

6. Mary is 5 years old. Her mother is 7 times as old as she is. How old is her mother?

Age of Mary = 5 years

Number of times her mother is older than Mary = 7

Age of her mother = 5 × 7 = 35 years

7. There are 4 baskets. Each basket has 2 kittens. How many kittens are there in all? 

here are                        4 baskets.

Each basket has             2 kittens

This can be written as:   4 × 2 = 8

Thus, there are 8 kittens in all

8. There are 5 crayon boxes. Each box has 3 crayons. How many crayons are there in all?

There are                     5 boxes

Each box has                3 crayons

This can be written as:  5 × 3 = 15

Thus, there are 15 crayons in all.

Worksheet on Problems on Multiplication:

1. Count and complete the following multiplication sums.

(i) There are 5 wheels. 1 wheel has 5 spokes.

     5 × 5 = _____

Thus, 5 wheels have _____ spokes.

(ii) There are 3 zebras. I zebra has 4 legs.

     3 × 4 = _____

Thus, 3 zebras have _____ legs.

(iii) There are 5 flower pots. I flower pot has 3 flowers.

      5 × 3 = _____

Thus, 5 flower pots have _____ flowers.

(iv) There are 6 bicycles. I bicycle has 2 tyres.

      6 × 2 = _____

Thus, 6 bicycles have _____ tyres.

(v) There are 3 spiders. I spider has 6 legs.

     3 × 6 = _____

Thus, 3 spiders have _____ legs.

2. Word Problems on Multiplication:

(i)  A pair of shoes contains 2 shoes. How many shoes are there in 4 pairs?

(ii) There are 5 boys in a row. How many boys are there in 5 rows?

(iii) There are 2 wheels in a bicycle. How many wheels are there in 6 bicycles?

2.  (i) 8

(ii) 25

(iii) 12

2nd Grade Math Practice  

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Multiplication Word Problem Worksheets 3rd Grade

Welcome to our Multiplication Word Problem Worksheets for 3rd Grade. Here you will find our range of printable multiplication problems which will help your child apply and practice their multiplication and times tables skills to solve a range of 'real life' problems.

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Multiplication Word Problems up to 10x10 Online Quiz

Multiplication word problem worksheets, 3rd grade multiplication problems.

Here you will find a range of problem solving worksheets involving multiplication.

Each sheet involves solving a range of written multiplication problems.

There are 3 levels of difficulty for each worksheet below: A,B and C.

Worksheet A is the easiest level, suitable for children at the beginning of their grade.

Worksheet B is a medium level worksheets for children who are working at the expected level in their grade.

Worksheet C is set at a harder level, suitable for children who are more able mathematicians.

The problems in each worksheet are similar in wording, but the numbers involved become trickier as the level gets harder.

To encourage careful checking and thinking skills, each sheet includes one 'trick' question which is not a multiplication problem. Children need to spot this word problem, and work out which operation they need to solve it.

Using these sheets will help your child to:

• apply their multiplication and times tables skills at a 3rd grade level;
• apply their times table knowledge to work out related facts;
• recognise multiplication problems, and try to spot 'trick' problems;
• solve a range of 'real life' problems.

Some of the sheets have a UK version with spelling set for the UK.

3rd Grade Multiplication Word Problem Worksheets

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Series 3 Sheet 1 Set

• Series 3 Sheet 1A (easier)
• Series 3 Sheet 1B (medium)
• Series 3 Sheet 1C (hard)

• PDF version Series 3.1 (6 sheets)

Series 3 Sheet 2 Set

• Series 3 Sheet 2A (easier)
• Series 3 Sheet 2B (medium)
• Series 3 Sheet 2C (hard)
• PDF version Series 3.2 (6 sheets)
• PDF version Series 3.2 UK version (6 sheets)

Series 3 Sheet 3 Set

• Series 3 Sheet 3A (easier)
• Series 3 Sheet 3B (medium)
• Series 3 Sheet 3C (hard)
• PDF version Series 3.3 (6 sheets)

Series 3 Sheet 4 Set

• Series 3 Sheet 4A (easier)
• Series 3 Sheet 4B (medium)
• Series 3 Sheet 4C (hard)
• PDF version Series 3.4 (6 sheets)

Looking for some easier Multiplication Problems?

In our 2nd Grade Multiplication word problem area, you will find a range of multiplication word problems aimed at 2nd graders.

The following areas are covered:

• basic multiplication fact sheets;
• multiplication facts to 5x5;
• word problems involving the 2, 5 and 10 times tables.
• Multiplication Word Problems 2nd Grade

Looking for some harder Multiplication Problems?

In our 4th Grade Multiplication word problem area, you will find a range of multiplication word problems aimed at 4th graders.

• multiplication related facts to 10x10 e.g. 6 x 70;
• problems needing written multiplication methods to solve (e.g. HTU x U; TU x TU)
• Multiplication Word Problems 4th Grade

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Looking for more 3rd Grade Word Problems?

Here are a range of problems solving sheets for 3rd graders. Most of the sheets contain 'real-life' problems which involve real data.

Using the sheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• develop their knowledge of fractions;
• apply their knowledge of rounding and place value;

All the 3rd grade sheets in this section support Elementary math benchmarks.

• Math Word Problems for kids 3rd Grade
• 3rd Grade Addition and Subtraction Word Problems (3- and 4-digits)

Finding all Possibilities Problems

This is our finding all possibilities area where all the worksheets involve finding many different answers to the problem posed.

The sheets here encourage systematic working and logical thinking.

The problems are different in that, there is typically only one problem per sheet, but the problem may take quite a while to solve!

• Finding all Possibilities problems
• Math Logic Problems

This is our logic problems area where all the worksheets involve using reasoning and logical thinking skills.

The sheets here are designed to get children thinking logically and puzzling the problems out.

There are a range of different logic problems from 1st through 5th grade!

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

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This quick quiz tests your knowledge and skill at solving multiplication word problems up to 10x10.

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Easy Finger Math Tricks to Help Kids Solve Problems

While using your fingers isn't the fastest way to recall a multiplication fact while doing a problem, finger math tricks can help kids figure out how to answer the problem at hand — and as they work on their math, they will eventually learn all the facts by repetition.

Note that before your child can understand other finger tricks, they must be able to count by 2s, 5s, and 10s and multiply by 2s, 3s, and 4s.

Quick Finger Math Tricks for Threes and Fours

The tricks for multiplying by threes and fours are really a matter of counting out the answer on your fingers. As your children count out the answer repeatedly, they'll memorize it and then be able to move on to larger numbers.

Multiplying by Three

Did you realize that all of your fingers have three segments? Therefore, you can figure out anything from 3 x 1 to 3 x 10 by counting the segments on each finger. To start:

• Hold up the number of fingers you're going to multiply by 3. For example, if the problem is 3 x 4 — hold up four fingers.
• Count each segment on each finger you're holding up, and you should come up with 12 — which is the correct answer.

Multiplying by Four

Multiplying by four is the same as multiplying by two — twice. To start:

• Hold up the number of fingers to correspond with the number you are multiplying by four. For example, if you are multiplying 4 x 6 — hold up six fingers.
• Count each finger by two, moving from left to right. Then count each finger again, continuing to count by twos, until you've counted every finger twice.

Helpful Hack To keep track of the fingers you've counted twice, sometimes it's easier to put your finger down as you count the first time, and back up as you count the second time.

Finger Math Tricks for Multiplying by 6, 7, 8, and 9

While numbers one through five are easy for most kids to remember, six and up often pose a problem. This handy trick will make it a little easier to work those problems out.

Multiplying 6, 7, 8, and 9 by Hand

To begin, assign each finger a number. For example, your thumbs represent 6, your index fingers each represent 7, etc. This will remain the same throughout the finger math hack.

Your left hand will represent the first number that you are multiplying and your right hand will represent the second number you are multiplying. In this example, we are multiplying 7 x 8. 

To Determine the Part of Your Answer:

• On your left hand, put down the finger that represents the number you are multiplying as well as any fingers whose number value is less than this figure. In this example, you are multiplying 7 x 8, so the left hand will represent 7. You will drop your index finger (number 7) and your thumb (number 6).
• Similarly, the right hand will represent eight, so you will drop down your middle finger (number 8), your index finger (number 7), and your thumb (number 6).
• Now, just multiply the fingers that are still pointed upwards. In this case, you will have three fingers on your left hand and two on your right, so you will multiply 3 x 2 to get 6. This is the first part of your answer!

To Determine the Second Part of Your Answer:

• Keeping your fingers in the same positions, count how many fingers are folded down. In the 7 x 8 example, you should have five fingers folded. 
• You will count each of these in quantities of ten. So, 10, 20, 30, 40, 50.
• 50 is your answer.

To Determine Your Final Answer:

• Add your two numbers together. In this example, you would add 6 + 50, which gives you 56!

Another Finger Math Trick Just for Nine

There is a trick that works separately, just for multiplying by the number nine.

• To start, hold up all ten fingers, with your palms facing you.
• Assign each finger a number, starting with your left-hand thumb and ending with your right-hand thumb. The left-hand thumb will be one, the left-hand index finger will be two, and so on until you reach the number 10 for your right-hand thumb.
• To tackle a problem, put down the corresponding finger of the number you're multiplying by nine. For example, if you are multiplying 9 x 8, you'd put down the eighth finger (which will be on your right hand).
• Count all the fingers to the left of the finger you have folded down. This will give you 7. This is the first digit of your answer.
• Count all the fingers to the right of the finger you have folded down. This will give you 2. This is the second digit of your answer.
• Put the numbers together! Your answer is 72.

Finger Multiplication Tricks Can Make Math Easy and Fun

While the hope is that your kids will eventually memorize their multiplication charts , using some quick hand tricks for multiplication and letting them count things out on their fingers is not a bad way to learn. It keeps frustration at bay since the answer is always a fingertip away, and the repetition of having to figure it out will help cement those facts into their brains.

Algorithm in Math – Definition with Examples

What is an algorithm, advantages of algorithms, properties of algorithms, solved examples, practice problems, frequently asked questions.

An algorithm is a step-by-step process to solve a particular problem.

Think of it as a mathematical “recipe” to get to the bottom of a problem. If you follow the steps, you’ll be able to get to the answer in no time!

Example of an algorithm:  A simple example of an algorithm you use every day is your morning routine. Say you get up at 6:30 a.m. to go to school. If you always get up, brush your teeth, drink water, go to the bathroom, and then have a bath, that can be the algorithm your body follows! Algorithms are all around us. It’s important to spot them to know how they function and later create our own.

There are a lot of procedures we apply in day-to-day life that we don’t realize are algorithms.

They include:

Tying your shoelaces

The daily timetable you follow in school

The rules to algebra formulae, like addition and subtraction

A technique you follow while playing sports

The rules to games you play with friends

Algorithms in Math

Definition of Math Algorithm An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation. For example, a step-by-step procedure used in long divisions is a common example of a mathematical algorithm.

Example of Math Algorithm:  The process of solving a mathematical problem such as, “What is 82 divided by 3?” could be achieved by doing the following algorithm:

How many times does 3 go into 8?

The answer is 2.

How many are left over now? 2

Put the 2 (tens) in front of the 3.

How many times does 3 go into 22?

The answer is 7, with a remainder of one.

And of course, the answer is 27 with a remainder of 1.

Standard Algorithm for Addition 

There are four simple steps for the standard algorithm for addition:

Step 1: Line up the numbers vertically by matching the place values.

Step 2: Add together the numbers that share the same place value, starting with the ones column.

Step 3: Write the sum below each column.

Step 4: If the sum of a column is greater than 9, carry over the tens digit to the next column.

Standard Algorithm for Subtraction 

Step 2: Subtract the numbers that share the same place value, starting with the ones column.

Step 3: Write the difference below each column.

Step 4: If the number on the top in a column is less than the number at the bottom, then regroup before subtracting.

Standard Algorithm for Multiplication

Follow the link  to check the standard algorithm of multiplication. 

Related Worksheets

Algorithms are essential because of the large variety of applications in which they are used. Understanding how algorithms work is also crucial for developing problem-solving skills and building logical reasoning. Listed below are a few advantages of an algorithm:

• The algorithm creation process allows you to look at something in a rational and calculative manner, which helps greatly when it comes to solving different kinds of problems.
• Algorithms aid in bridging the communication gap, where following the procedure will help you reach the solution needed without going over the process repeatedly. You can follow the rules set up beforehand to reach the solution quicker.
• Algorithms use a definite procedure, and by using and optimizing them, people can solve problems much quicker. 
• Algorithms are easy to debug because each step has its logical sequence.
• When we use algorithms, we can break down the problems into smaller steps or pieces, and therefore a programmer can easily convert them into an actual program.

Once you understand the foundation of algorithms, you will be able to create your own, saving yourself a lot of time. With SplashLearn’s fun activities and games, you can put your mathematical skills to the test and find algorithms in the questions you solve.

Algorithms should be used to solve three objectives:

• Correctly execute a task:  The job you want to do should be carried out with the intended results.
• Efficiently process the information given:  Your system’s time and resources should be appropriately used to understand and later resolve the problem.
• Be easily understood:  Algorithms are meant to make a job easier and, ideally, should be kept at a fundamental level of understanding.

Examples of algorithms in the real world

Many companies in the real world use algorithms to help their customers or grow their businesses and often try to improve those every day.

• YouTube : When you watch a few videos of a certain channel, you’ll notice that more and more videos by the same channel get recommended to you. It is due to YouTube’s recommendation algorithm, which collects information from your previous history to present videos of the same kind in your feed, so that you continue to watch videos on the platform.
• Social media : If you navigate to the ‘Explore’ page on Instagram, you’ll notice that many of the posts that show up are related to the ones you usually search for or like/comment on. The algorithm here identifies the posts you interact with and shows you more such posts because it believes that you enjoy such posts.
• Google : Google uses a very famous algorithm called PageRank to sort search results into an order that shows the most visited and authentic sites at the top. This algorithm considers dozens of parameters and provides the websites you would like to find fast.
• Lyft/Uber : Cab sharing companies like Lyft or Uber use positioning algorithms to help customers find vehicles close to them for an optimal experience. These global positioning algorithms also help drivers find the fastest routes to reach a certain destination. Algorithms also help such applications decide which customer they should pick or drop first.
• Facial recognition : Whenever companies require users to be verified, they can move past methods like user IDs and passwords to more secure authentications like facial recognition. Here, algorithms are used to identify a person and check if they have access to the things they want to get to.

Tips to Master Algorithms

You can master algorithms by learning how to spot them in your day-to-day life. After that, you can break down the algorithm into bite-sized steps. You might have to test it a few times to notice a pattern in the way something takes place, but once you find it, you’ll be able to spot it again and again.

Try to figure out why each step in a process takes place. Once you understand why something happens, you’ll be able to connect the dots easier and figure out the logical sequence of events. In addition, it comes in very handy for figuring out how to create algorithms for yourself. With the help of the fun activities and games on SplashLearn, you’ll be able to master the basics of algorithms in no time!

Example 1 : Write down the steps for making peanut butter and jelly sandwich.

Answer:  Steps for making a peanut butter and jelly sandwich: Step 1: Take 2 slices of bread. Step 2: Apply peanut butter on one side of a slice. Step 3: Apply jelly on one side of the other slice. Step 4: Press both the slices of bread together.

Example 2:  Write down the steps for the standard algorithm of subtraction.

Answer:  The standard algorithm for subtraction follows these 4 steps: Step 1: Line up the numbers vertically by matching the place values. Step 2: Subtract the numbers that share the same place value, starting with the ones column. Step 3: Write the difference below each column. Step 4: If the number on the top in a column is less than the number at the bottom, then regroup before subtracting.

Example 3:  Write an algorithm to know whether a number is odd or even.

Answer:  The algorithm to find whether a number is odd or even: Step 1: Divide the number by 2. Step 2: If the number is completely divisible by 2, it is even, else it is odd.

Example 4:  Write an algorithm to find the area of a rectangle.

Answer:  The algorithm to find the area of the rectangle: Step 1: Record the length of the shorter side as ‘b’. Step 2: Record the length of the longer side as ‘l’. Step 3: Area of a rectangle will be the product of ‘l’ and ‘b’.

Attend this Quiz & Test your knowledge.

Which sequence will give the correct picture of an owl?

Which sequence will give the correct algorithm for boiling water? 1. Heat the pot until water boils 2. Turn the stove on 3. Take an empty pot 4. Put the water-filled pot on the fire 5. Pour water in empty pot

What will be the first step of addition algorithm, which of the following correctly multiplies 45 ✕ 7 using the standard algorithm.

How are algorithms related to math?

An algorithm in mathematics is a procedure, a set of steps describing how a mathematical problem can be solved. For example, the step by step procedures of long division or decimal multiplication.

Where do we use algorithms in real life?

Algorithms are primarily used in computing. In our day-to-day lives, algorithms can be seen all around us, solving our daily problems. YouTube and Netflix recommendations, Google searches, GPS applications, among others, all are powered by algorithms.

What are the disadvantages of using algorithms?

Algorithms are hard to apply to bigger and more complex tasks. They are time-consuming. It is not always easy to show branching and looping in algorithms. It can be very challenging to understand complex logic applied in algorithms.

What are the important characteristics of algorithms?

The steps of algorithms should be precisely stated. The algorithm receives input and produces an output after executing a finite number of instructions.

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