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## Multiplication Word Problems for Grade 3

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## Math Word Problems

- Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
- Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
- Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
- Calculate : Use your strategy to solve the problem.
- Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

## Most Popular Math Word Problems this Week

## Various Word Problems

Various word problems for students who have mastered basic arithmetic and need a further challenge.

## Addition word problems

## Subtraction word problems

## Multiplication word problems

## Division word problems

## Multi-Step word problems

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Answer: It will take 6 and 2/3 yards of fabric to make 8 dresses.

Analysis: To solve this problem, we will multiply these two fractions.

Answer: Elena got 3/8 of the original box of cupcakes.

Answer: The area of the classroom is 9 and 7/20 square meters.

Analysis: To solve this problem, we will divide the first fraction by the second.

Analysis: To solve this problem, we will divide the first mixed number by the second.

Answer: The electrician has 2 and 5/8 pieces of wire.

Answer: The warehouse will have 2 and 2/25 pieces of tape.

## Exercises

Note: To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.

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## Year 5 grade 4 unit 7 Multiplication and Division

## Lesson 10: Problems Solving Involving Multiplication And Division

At the end of this lesson, students should be able to:

- Identify and solve word problems that require multiplication.
- Identify and solve word problems that require division.

- Step 1: Read the entire question, over and over to get an understanding of the problem.
- Step 2: Take note of the information that the problem is going out as well as the keywords. This will give you an idea of the operation (s) that the question requires.
- Step 3: Generate a mathematical notation for the problem and solve it.

Some keywords and catch phrases are shown below:

A packet of toffees contains 24 toffees. How many toffees will be in 3 packets?

3 packets mean 24 + 24 + 24 which is continuous addition multiplication.

Therefore, 3 packets would contain: 24 toffees x 3

Hence 3 packets will contain 72 toffees.

Number of people held in 1 day = 358

Number of people held in 12 days = 358 x 12

Hence, in 12 days the cinema can hold 4296 audiences.

Total number of audience = 858

“Shared evenly means division”

143 audiences were placed in each auditorium.

Amount Gail earns in a week = £150

Amount Gail’s brother earns = 5 times less

If “5 times more” means multiplication then “5 times less” would imply division.

Gail’s brother gets £30 in a week.

Cost of each carton of wine = £13.98 = 1398p

Continuous addition means multiplication.

Hence, Ian paid £83.88 at the counter.

- Zara was given £28 to by some toys for Christmas. If each of the toys she got costs £2, how many toys did she get?
- Carl has 14 boxes containing marbles. If each box contains 10 marbles, how many marbles does he have altogether?
- Darren’s dad gave £36 to each of his 3 children. How much did he give out altogether?
- A book contains 244 pages. Jay wants to read 4 pages a day. How many days will he take to finish the book?
- Benson wants to plant some seeds in her backyard garden. She bought 354 seeds and plans to plant them on 6 garden beds evenly. How many seeds will she plant on each garden bed?
- Mary buys 5750 apples and decides to package them into 25 boxes. If each box takes the same number of apples, how many apples will each box take?
- A school bus has 35 seats; each child having a seat to himself. How many children can 7 school buses carry to school if all the buses have the same number of seats?
- A manufacturing company produces 1560 drinks in a day. The drinks produced each day are packed into crates of 12 drinks. How many crates will the workers need to pack the drinks produced in each day?
- A university has 2326 students in each year group. How many students are in 3 year groups?
- There are 365 days in a year, how many days are there in 15 years?

- 11 workers each earned an amount of £3528. How much money did the company give out altogether?
- A wooden stick is 375mm long. What will be the length of a new stick formed by joining 12 wooden sticks together end – to – end?
- Find the cost of a litre of petrol if 9 litres cost £38.43.
- A box of jam weighs 8500g. What will 7 boxes of jam weigh?
- It takes 48 hours to finish a production. How long would it take to finish 125 productions?
- David’s mum got him 48 stamps from the post office. He shares the stamps with three friends. How many stamps did each child get if the stamps were shared equally?
- A farmer got £3350 for selling 50 sheep. At what price was each sheep sold at?
- There are 189 pages in a book. How many pages altogether will there be in 18 such books?
- A sofa set costs £758. How much will a shop get from selling 8 sofa sets?
- There are 37 doughnuts in each box. How many boxes can 1 buy to get exactly 703 doughnuts?

- There are 24 hours in a day. A thief was sentenced to 65 days in jail. How many hours is that?
- A motor-bike costs £ A bicycle costs 3 times less. What is the cost of the bicycle?
- By how much is 65 times 78 greater than 5000?
- 18 rulers cost 216pence. What is the cost of a ruler?
- 25 times a number is 8650. Find the number.
- There were 2350 guests at a palace feast. Each guest was served with 4 drinks during the feast. How many drinks were served at the feast altogether?
- A shopkeeper makes £5875 in a week. How much does he make in 2 months if there are 4 weeks in 1 month?
- 8 packets of cereal fit in a box. How many boxes will be needed to hold 400 packets?
- There are 38 books on a shelf. How many books will be on 100 shelves if each shelf carries the same number of books?
- A bucket contains 250 marbles. How many marbles altogether in 3 buckets?
- A car travels at 63km per hour. How far will it travel in 18 hours?
- In 15 days, Chris read 435 pages of a book. If he reads the same number of pages in each day, how many pages did he read in a day?
- There are 23 drawers in a large cookery. If each drawer contains 136 napkins, how many napkins are there altogether?
- A cinema complex receives 4287 people on weekend shows. How many people does it hold in 4 such weekend shows?

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## Multiplication And Division

## What is Multiplication and Division in Maths?

In mathematics, there are four basic operations.

## What is Multiplication?

For instance, 8 multiplied by 4 is equal to 32. How? Adding 8, 4 times to itself, we get;

## What is Division?

## Parts of division

In the above example, there are three parts for division.

## Multiplication and Division Relationship

## Multiplication and Division Rules

## Rule 1: Order of operations

But this rule is not applicable for division. Let us take another example.

3 ÷ 12 ≠ 4 (it is equal to 0.25)

Thus, we cannot change the order of numbers in division method.

## Rule 2: Multiplying and Dividing by Positive Numbers

## Rule 3: Multiplying and Dividing by Negative Numbers

## Summary of Multiplication and Division Rules

Multiplication and division of integers.

## Multiplication and Division of Fractions

Here, we will learn how to multiply and divide fractions with examples.

¼ ÷ ½ = (1 x 2)/(1 x 4) = 2/4 = ½

## Multiplication and Division of Decimals

## Multiplication of Decimals

When a decimal is multiplied by any real number, then the position of the decimal point (.) changes.

Consider multiplication of two numbers, 2.32 and 3 for example.

Step 2: Now forget about the decimal point and just multiply the numbers without the decimal point.

## Division of Decimals

Let’s divide 40.5 by .20. Methods to divide these decimal numbers are as follows:

(Multiply both the numerator and denominator by 5)

Here, the denominator is 0.20 and the number of digits right to the decimal point is 2.

- Take the power of 10 the same as the number of digits right to the decimal point e. 10 2 = 100
- Multiply both numerator and denominator by 100.

## Multiplication and Division of Decimal Numbers by 10, 100 and 1000

## Multiplication and Division Equations

If we solve the above equation for a, then,

Thus, we can see, the above solution involved both multiplication and division methods.

## Related Articles

- Multiplication of fractions
- Division of fractions
- Addition and Subtraction of Decimals
- Addition And Subtraction Of Integers
- Multiplication Tables
- Multiplication Tricks

## Solved Examples – Multiplication and Division

## Word Problems on Multiplication and Division

Q.1: There are 90 pencils in 1 box. How many pencils are there in 3 boxes?

Solution: Given, 1 box has 90 pencils.

So, in 3 boxes, number of pencils = 3 x 90 = 270

Therefore, there are total of 270 pencils in 3 boxes.

Solution: Total number of candies = 1615

Therefore, each box contains = 1615 ÷ 85 candies

## Practice Questions – Multiplication and Division

3. Each toffee cost Rs. 2. If there are 120 toffees, then what is the total cost?

## Frequently Asked Questions on Multiplication and Division

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

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## Multiplication and Division KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

## One Wasn't Square

## All the Digits

## Cycling Squares

Can you replace the letters with numbers? Is there only one solution in each case?

## Multiplication Square Jigsaw

Can you complete this jigsaw of the multiplication square?

## Shape Times Shape

## What Do You Need?

## How Do You Do It?

## Table Patterns Go Wild!

## Journeys in Numberland

## Ordering Cards

This problem is designed to help children to learn, and to use, the two and three times tables.

## Let Us Divide!

## Sweets in a Box

## Round and Round the Circle

## Highest and Lowest

## Zios and Zepts

## Abundant Numbers

Find at least one way to put in some operation signs (+ - x Ã·) to make these digits come to 100.

## Flashing Lights

## The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

## Mystery Matrix

## Four Goodness Sake

## Multiplication Squares

## Factor Lines

## Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

## Cubes Within Cubes

## Which Is Quicker?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

## A Square of Numbers

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

## Odd Squares

## Up and Down Staircases

## Carrying Cards

## An Easy Way to Multiply by 10?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

## Multiples Grid

## Factors and Multiples Game

This game can replace standard practice exercises on finding factors and multiples.

## Music to My Ears

## What's in the Box?

## Factor-multiple Chains

## Picture a Pyramid ...

## The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

## Which Symbol?

Choose a symbol to put into the number sentence.

## Times Tables Shifts

## Counting Cogs

## Light the Lights Again

## Follow the Numbers

## Curious Number

## Factor Track

## So It's Times!

## Square Subtraction

## This Pied Piper of Hamelin

## Multiply Multiples 1

## Multiply Multiples 2

Can you work out some different ways to balance this equation?

## Multiply Multiples 3

Have a go at balancing this equation. Can you find different ways of doing it?

## Division Rules

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

## Always, Sometimes or Never? Number

Are these statements always true, sometimes true or never true?

## Satisfying Four Statements

Can you find any two-digit numbers that satisfy all of these statements?

## Picture Your Method

Can you match these calculation methods to their visual representations?

## Compare the Calculations

Can you put these four calculations into order of difficulty? How did you decide?

## Dicey Array

## 4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

## Multiplication and Division Word Problems

## What is multiplication?

This can also be written as 2 x 6 = 12

## Important terms in the multiplication

Some important terms used in multiplication are –

Multiplicand – The number to be multiplied is called the multiplicand.

Multiplier – The number with which we multiply is called the multiplier.

The relation between the multiplier, multiplicand and the product can be expressed as –

Multiplier × Multiplicand = Product

Let us understand this using an example.

Suppose we have two numbers 9 and 5. We wish to multiply 9 by 5.

So, we express it as 9 x 5 which gives us 45.

Here, 9 is the multiplicand, 5 is the multiplier and 45 is the product.

## What is division?

Mathematically, we can write this as

## Symbol for Division

## Important terms in Division

The number that is to be divided is called the Dividend . Here, 6 is the dividend.

The number by which the dividend is being divided is called the Divisor .

The result obtained by the process of division is called the Quotient .

The number that is left over after finding the quotient is called the Remainder .

Let us understand these by an example.

Using multiplication tables, we have 7 x 9 = 63

This means that the quotient when 65 is divided by 7 will be 9 and the remainder will be 2.

As per the definition of the four terms of division, we have

Remember: The remainder is always smaller than the divisor.

## Formula for Division

Dividend = Divisor x Quotient + Remainder

## What are word problems?

## How to Solve Word Problems involving multiplication and division?

- Read through the problem carefully, and figure out what it is about. This is the most important step as it helps to understand two things – what is given in the question and what is required to be found out.
- The next step is to represent unknown numbers using variables. Usually, these unknown numbers are the values that are required to be solved for.
- Once the numbers have been represented as variables, the next step is to translate the rest of the problem in the form of a mathematical expression.
- Once this expression has been formed, the last step is to solve this expression for the variable and obtain the desired result.

Let us understand it through an example.

A hawker delivers 148 newspapers every day. How many newspapers will he deliver in a non-leap year?

Number of newspapers delivered by the hawker in a day = 148

Number of newspapers that he will deliver in a non-leap year = ?

Total number of days on which hawker delivers the newspapers = 365

Substituting the given values in the above equation, we have

Number of newspapers that he will deliver in a non-leap year = 148 x 365

Hence, the number of newspapers that he will deliver in a non-leap year = 54020

Let us consider another example.

Amount of fee collected by the school from each student = £ 345

Number of students in the school = 240

Total amount of fee collected by the school = ?

Substituting the given information in the above equation, we get

Total amount of fee collected by the school = £ ( 345 x 240 )

Hence, Total amount of fee collected by the school = £ 82800

## Solving Multiplicative Comparison Word Problems

## What Operation to Use: Multiply? Divide? Add? Subtract?

## Different Types of Problem

## Product Unknown Comparisons

Set size unknown comparisons, multiplier unknown comparisons.

The rest of this lesson will show how these three types of math problems can be solved.

## Multiplication Problems: Product Unknown

Make sure that our final answer is a reasonable answer for the question we are being asked.

We were asked, “How much money did Mary save this month?”

## Multiplication Problems: Set Size Unknown

## Multiplicative Comparison Problems: Multiplier Unknown

## Solved Examples

Number of rows in a stadium = 287

Number of seats in each row = 165

Total number of students that can be seated in the stadium = 287 x 165 = 47335.

Number of packets of cookies bought by Henry = 15

Number of cookies in each packet = 35

Total number of cookies that Henry has = 15 x 35 = 525

## Key Facts and Summary

- The process of finding out the product between two or more numbers is called multiplication. The result thus obtained is called the product.
- A word problem is a few sentences describing a ‘real-life’ scenario where a problem needs to be solved by way of a mathematical calculation.

## Recommended Worksheets

## Link/Reference Us

## Additional Operations of Numbers Theory:

The worksheets below are the mostly recently added to the site.

## IMAGES

## VIDEO

## COMMENTS

Practice Multiply by 3 7 questions

These math word problems may require multiplication or division to solve. The student will be challenged to read the problem carefully and think about the situation in order to know which operation to use. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6 Similar:

Sal talks about the relationship between multiplication and division problems. Questions Tips & Thanks Want to join the conversation? Sort by: Top Voted Zhang Jianfeng 7 years ago Is this sort of the start of algebraic thinking? ( doing ( _ / 2 = 9 ) other than ( 9 * 2 = _ ) ? ) • 2 comments ( 11 votes) Flag Robin 7 years ago

Multiply & divide with grade 5 worksheets These grade 5 worksheets provide more challenging practice on multiplication and division concepts learned in earlier grades. Sample Grade 5 Division Worksheet More division worksheets Explore all of our division worksheets, from simple division facts to long division of large numbers.

Below are six versions of our grade 4 math worksheet with mixed multiplication and division word problems. All numbers are whole numbers with 1 to 4 digits. Division questions may have remainders which need to be interpreted (e.g. "how many left over").

Welcome to the mixed operations worksheets page at Math-Drills.com where getting mixed up is part of the fun! This page includes Mixed operations math worksheets with addition, subtraction, multiplication and division and worksheets for order of operations. We've started off this page by mixing up all four operations: addition, subtraction, multiplication, and division because that might be ...

Now for division, for the equation t/6=7, or 7=t/6 (they are the same thing, just put in a different format, keep that in mind), we use inverse operation, as shown in the Lesson, and we know what type of inverse operation it is because t/6 is division -because it's a fraction-, so we use multiplication instead so to solve for t in t/6=7, we ...

The worksheets in this section combine both multiplication word problems and division word problems on the same worksheet, so students not only need to solve the problem but they need to figure out how to do it. By moving into these worksheets quickly, it avoids the crutch where students learn that they always need to add or always need to ...

Students should derive a multiplication equation from the word problem, solve the equation by mental multiplication and express the answer in appropriate units. Students should understand the meaning of multiplication before attempting these worksheets. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6 Similar:

On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics.

Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. ... Multiplication and division word problems. CCSS.Math: 4.OA.A.2. Google Classroom. Problem. Frederic ...

Solving Problems by Multiplying and Dividing Fractions and Mixed Numbers Fraction Word Problems With Interactive Exercises Example 1: If it takes 5/6 yards of fabric to make a dress, then how many yards will it take to make 8 dresses? Analysis: To solve this problem, we will convert the whole number to an improper fraction.

Step 1: Read the entire question, over and over to get an understanding of the problem. Step 2: Take note of the information that the problem is going out as well as the keywords. This will give you an idea of the operation (s) that the question requires. Step 3: Generate a mathematical notation for the problem and solve it. Sometimes the ...

Multiplication and division games, videos, word problems, manipulatives, and more at MathPlayground.com! Advertisement. Kindergarten. 1st Grade. 2nd Grade. 3rd Grade. 4th Grade. 5th Grade. ... Strategic Multiplication Fraction Tasks Problem Solving 3rd Grade Math Visual Math Tools Model Word Problems.

Multiplication and division word problems (within 100) CCSS.Math: 3.OA.A.3. Google Classroom. A roller coaster has 4 4 different cars. Each car holds 10 10 people.

Solved Examples Word Problems Worksheets FAQs What is Multiplication and Division in Maths? In mathematics, there are four basic operations. Addition (+) Subtraction (-) Multiplication (×) Division (÷) What is Multiplication? Multiplication is the repeated addition of a number.

8 x 4 This is the same formula as 8 + 8 + 8 + 8. Since the formulas are the same, the answer will be the same. So when we add those three factories we will have a total of 32 docks. Another...

Age 7 to 11 Challenge Level Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were. All the Digits Age 7 to 11 Challenge Level This multiplication uses each of the digits 0 - 9 once and once only.

Don't stop there! We've got more operations activities we know your students will love: teaching resource Multiplication and Division Minute Math Booklet Warm-up with this 10-page booklet of multiplication and division drills. 14 pages Grades: 3 - 5 teaching resource Multiplication or Division? Problem Solving Cards

How to Solve Word Problems involving multiplication and division? Solving Multiplicative Comparison Word Problems Multiplication as Comparing What Operation to Use: Multiply? Divide? Add? Subtract? Different Types of Problem Multiplication Problems: Product Unknown Product Unknown Comparisons Multiplication Problems: Set Size Unknown

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