steps to solve multiplication word problems

Multiplication Word Problems With Printable Worksheets

Choose from 1 to 2 digits or 2 to 3 digits

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Word problems often trip up even the best math students. Many get stumped trying to figure out what they are looking to solve. Without knowing what is being asked, students may have trouble making sense of all the important information in the question. Word problems take math understanding to the next level. They require children to use their reading comprehension skills while also applying everything they have learned in math class.

Most multiplication word problems are usually pretty straightforward. There are a few curve balls, but on average most third, fourth, and fifth graders should be able to solve multiplication word problems.

Why Word Problems?

Word problems were devised as a way to get students understanding how math has a practical, real-life value. By being able to multiply , you are able to figure out some really helpful information.

Word problems can sometimes be confusing. Unlike simple equations, word problems contain extra words, numbers, and descriptions that have seemingly no relevance to the question. This is another skill your students are honing. Deductive reasoning and a process of elimination of extraneous information.

Take a look at the following real-world example of a multiplication word problem:

Grandma has baked four dozen cookies. You are having a party with 24 children. Can each child get two cookies? The total cookies that you have are 48, since 4 x 12 = 48. To find out if each child can have two cookies, 24 x 2 = 48. So yes, Grandma came through like a champ. Each child can have exactly two cookies. None are left over.

How to Use the Worksheets

These worksheets contain simple multiplication word problems. The student should read the word problem and derive a multiplication equation from it. He or she can then solve the problem by mental multiplication and express the answer in the appropriate units. Students should have a concrete understanding of the meaning of multiplication before attempting these worksheets.

Multiplication Word Problems (1 to 2 Digits)

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You can choose between three worksheets with one- or two-digit multipliers. Each worksheet progresses in difficulty.

Worksheet 1 has the simplest problems. For example: For your birthday, 7 friends will get a surprise bag. Each surprise bag will have 4 prizes in it. How many prizes will you need to buy to fill the surprise bags?

Here's an example of a word problem using a one-digit multiplier from Worksheet 2 : "In nine weeks, I’m going to the circus. How many days before I go to the circus?"

Here's a sample of a two-digit word problem from Worksheet 3 : Each individual popcorn bag has 76 kernels in it and they are in a case that holds 16 bags. How many kernels does each case have?

Multiplication Word Problems (2 to 3 Digits)

There are two worksheets with word problems that are using two- to three-digit multipliers.

Review this word problem using a three-digit multiplier from Worksheet 1 : Each bushel of apples has 287 apples in it. How many apples are in 37 bushels?

Here's an example of an actual word problem using a two-digit multiplier from Worksheet 2 : If you typed 85 words per minute, how many words would you be able to type in 14 minutes?

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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.

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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5 Steps to Word Problem Solving

Close-up of student working on math homework.

How to Factorise a Quadratic Expression

Word problems often confuse students simply because the question does not present itself in a ready-to-solve mathematical equation. You can answer even the most complex word problems, provided you understand the mathematical concepts addressed. While the degree of difficulty may change, the way to solve word problems involves a planned approach that requires identifying the problem, gathering the relevant information, creating the equation, solving and checking your work.

Identify the Problem

Begin by determining the scenario the problem wants you to solve. This might come as a question or a statement. Either way, the word problem provides you with all the information you need to solve it. Once you identify the problem, you can determine the unit of measurement for the final answer. In the following example, the question asks you to determine the total number of socks between the two sisters. The unit of measurement for this problem is pairs of socks.

"Suzy has eight pairs of red socks and six pairs of blue socks. Suzy's brother Mark owns eight socks. If her little sister owns nine pairs of purple socks and loses two of Suzy's pairs, how many pairs of socks do the sisters have left?"

Gather Information

Create a table, list, graph or chart that outlines the information you know, and leave blanks for any information you don't yet know. Each word problem may require a different format, but a visual representation of the necessary information makes it easier to work with.

In the example, the question asks how many socks the sisters own together, so you can disregard the information about Mark. Also, the color of the socks doesn't matter. This eliminates much of the information and leaves you with only the total number of socks that the sisters started with and how many the little sister lost.

Create an Equation

Translate any of the math terms into math symbols. For example, the words and phrases "sum," "more than," "increased" and "in addition to" all mean to add, so write in the "+" symbol over these words. Use a letter for the unknown variable, and create an algebraic equation that represents the problem.

In the example, take the total number of pairs of socks Suzy owns -- eight plus six. Take the total number of pairs that her sister owns -- nine. The total pairs of socks owned by both sisters is 8 + 6 + 9. Subtract the two missing pairs for a final equation of (8 + 6 + 9) - 2 = n, where n is the number of pairs of socks the sisters have left.

Solve the Problem

Using the equation, solve the problem by plugging in the values and solving for the unknown variable. Double-check your calculations along the way to prevent any mistakes. Multiply, divide and subtract in the correct order using the order of operations. Exponents and roots come first, then multiplication and division, and finally addition and subtraction.

In the example, after adding the numbers together and subtracting, you get an answer of n = 21 pairs of socks.

Verify the Answer

Check if your answer makes sense with what you know. Using common sense, estimate an answer and see if you come close to what you expected. If the answer seems absurdly large or too small, search through the problem to find where you went wrong.

In the example, you know by adding up all the numbers for the sisters that you have a maximum of 23 socks. Since the problem mentions that the little sister lost two pairs, the final answer must be less than 23. If you get a higher number, you did something wrong. Apply this logic to any word problem, regardless of the difficulty.

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Mt. San Antonio College: Five-Step Strategy to Solving Word Problems

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Word Problems on Multiplication

Word problems on multiplication for fourth grade students are solved here step by step.

Problem Sums Involving Multiplication: 1. 24 folders each has 56 sheets of paper inside them. How many sheets of paper are there altogether?

We can add 56 sheets 24 times

Since multiplication is repeated addition we can multiply 56 and 24 to get the answer.

$Word Problems on Multiplication$

[Sometime, more than one calculation is required.] Therefore, altogether there are 1344 sheets.

2. A carton holds 24 packets of biscuits. Each packet has 12 biscuits. How many biscuits can be packed in 45 cartons?

In one carton we can pack 24 × 12 biscuits.

In 45 cartons, we can pack 24 × 12 × 45 biscuits.

24 × 12 = 288

Therefore, altogether there are 12,960 biscuits.

3. There are 226 pencils in a packet. How many pencils are there in 212 such packets?

Consider the following Examples on Word Problems Involving Multiplication:

1. A book costs $ 67. How much will be paid for 102 such books? Solution:

The cost of one book = $ 6 7 6 7 Number of books = 1 0 2 × 1 0 2 The cost of 102 books = $ 67 × 102 1 3 4 = $ 6834 + 6 7 0 0 6 8 3 4

Therefore, cost of 102 books = $ 6834

2. A bicycle costs $ 215. How much will be paid for 87 such bicycles?

Solution:

The cost of one bicycle = $ 2 1 5 2 1 5 Number of bicycle = 8 7 × 8 7 The cost of 87 bicycles = $ 2 1 5 × 8 7 1 5 0 5 = $ 6834 + 1 7 2 0 0 1 8 7 0 5 Therefore, cost of 87 bicycles = $ 18705

3. The monthly salary of a man is $ 2,625. What is his annual income by salary?

Monthly income = $2,625 2 6 2 5 Annual income = $2,625 × 12 × 1 2 = $31,500 5 2 5 0 + 2 6 2 5 0 3 1 5 0 0

Therefore, annual income = $ 31,500

4. A chair costs $ 452 and a table costs $ 1750. What will be cost of 15 chairs and 30 tables?

(i) Cost of one chair = $ 452 Cost of 15 chairs = $ 452 × 15 = $ 6,780 (ii) Cost of one table = $ 1,750 Cost of 30 tables = $ 1,750 × 30 = $ 52,500 Therefore, cost of 15 chairs and 30 tables = $ 6,780 + $ 52,500

Questions and Answers on Word Problems on Multiplication:

1. Each student of class IV $ 75 for the flood victims. If there are 368 students in class IV, what is the total amount of money collected?

Answer: $ 27600

2. An orchard has 46 rows of mango trees. If there are 150 trees in each row. What is the total number of mango trees in the orchard?

Answer: 6900

3. A showroom has 165 bicycles. Each bicycle costs $ 4500. What is the total cost of all the bicycles?

Answer: $ 742500

4. The teller in the bank received 814 notes today. If the value of each note is $ 500, what is the total amount of money collected by the teller?

Answer: $ 407000

5. A car factory manufactures 75 cars each month. How many cars will be manufactured in the factory in one year?

Answer: 900

6. The National Library has 502 book shelves. In each shelf there are 44 books. What is the total number of books in the library?

Answer: 22088

7. Our heart beats about 72 times in a minute. How many times will it beat in an hour?

Answer: 4320

8. Shyam works for 10 hours in a day and Ram works for 9 hours in a day. Ram works for 6 days in a week and Sham works for 5 days in a week. Who works for more hours in a week and by how much?

Answer: Ram, 4 hours

9. There are 100 baskets of fruit. Each basket has 24 kg of fruit. If half of the baskets are kept on the weighing machine, then what weight will be shown by the weighing machine?

Answer: 1200

10. A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of candies on the truck?

Answer: 8076

11. A packet consists of 600 chocolates. How many chocolates are there in 248 such packets?

Answer: 148800

12. A book contains 543 pages. How many pages are there in 22 such books?

Answer: 11946

13. A boat can carry 635 people. How many people can travel in 240 such boats?

Answer: 152400

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Math Word Problems

Welcome to the math word problems worksheets page at Math-Drills.com! 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. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8.

There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

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.

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