problem solving multiplication 4 10

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Multiplication Word Problems 4th Grade

Welcome to our Multiplication Word Problems for 4th 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 at a 4th grade level.

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• 4th Grade Multiplication Problems Worksheets
• Easier & Harder Multiplication Worksheets
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Multiplication Word Problems 4th Grade Online Quiz

Multiplication word problems, 4th 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 4th 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 and currency symbols set for the UK.

4th Grade Multiplication Word Problem Sheets

Series 4 sheet 1 set.

• Series 4 Sheet 1A (easier)
• Series 4 Sheet 1B (medium)
• Series 4 Sheet 1C (hard)

• PDF Series 4.1 (6 sheets)
• PDF Series 4.1 UK version (6 sheets)

Series 4 Sheet 2 Set

• Series 4 Sheet 2A (easier)
• Series 4 Sheet 2B (medium)
• Series 4 Sheet 2C (hard)
• PDF Series 4.2 (6 sheets)
• PDF Series 4.2 UK version (6 sheets)

Series 4 Sheet 3 Set

• Series 4 Sheet 3A (easier)
• Series 4 Sheet 3B (medium)
• Series 4 Sheet 3C (hard)
• PDF version Series 4.3 (6 sheets)
• PDF version Series 4.3 UK version (6 sheets)

Multiplication Word Problems Walkthrough Video

This short video walkthrough shows several problems from our Multiplication Problems Worksheet 4.3A being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

Looking for some easier Multiplication Problems?

In our 3rd Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 3rd graders.

The following areas are covered:

• basic multiplication fact sheets;
• multiplication facts to 10x10;
• 2 digits x 1 digit
• Multiplication Word Problem Worksheets 3rd Grade

Looking for some harder Multiplication Problems?

In our 5th Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 5th graders.

• multiplication fact sheets;
• multiplication related facts to 10x10 e.g. 6 x 70, 8 x 0.6, etc;
• problems needing written multiplication methods to solve e.g. 2 digits x 2 digits, decimal multiplication
• Multiplication Problems Printable 5th Grade

More Recommended Math Worksheets

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

Looking for more 4th Grade Word Problems?

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Many of the problems are based around 'real-life' problems and data such as the world's heaviest animals.

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems

Multiplication Times Table Charts

Here you will find a selection of Multiplication Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication facts.

There is a wide selection of multiplication charts including both color and black and white, smaller charts, filled charts and blank charts.

Using these charts will help your child to:

• Learn their multiplication facts to 10x10 or 12x12;
• Practice their multiplication table.

All the free printable Math charts in this section are informed by the Elementary Math Benchmarks.

• Large Multiplication Chart
• Large Multiplication Charts Times Tables
• Multiplication Times Tables Chart to 10x10
• Times Table Grid to 12x12
• Blank Multiplication Charts to 10x10
• Blank Printable Charts to 12x12
• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

The following games develop the Math skill of multiplying in a fun and motivating way.

• learn their multiplication facts;
• practice and improve their multiplication table recall;
• develop their strategic thinking skills.

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.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at solving multiplication word problems by tens and hundreds.

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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.

• Download the set

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.

Related Worksheets

» Addition Word Problems

» Subtraction Word Problems

» Division Word Problems

» Word Problems

» Multiplication

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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.

Available both as a download and as a printed copy .

PDF download USD $5.60

→ Learn more and see the free samples!

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Beastly lesson.

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.)

Sincerely, Maria

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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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.

[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?

4. A bag contains 289 apples. How many apples A will 72 such bags have?

Solution: 1 bag contains = 289 apples

72 bags contain = 289 ×  72 apples

                          2 8 9

                         × 7 2   

                          5 7 8

                +   2 0 2 3 0     

                    2 0 8 0 8  

Hence, 72 bags will contain 20,808 apples.

5. A car travels a distance of 345 km every day.  What distance will it travel in a year?

Distance travelled by the car in one day = 345 km

There are 365 days in a year.

Distance travelled by the car in 365 days = 345 km × 365

                       3 4 5                       × 3 6 5

                    1 7 2 5

                 2 0 7 0 0

          +  1 0 3 5 0 0

               1 2 5 9 2 5

Hence, the car will travel  1,25,925 km in a year.

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

Worksheet 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

14. A farmer produced 735 quintals of rice. He told it at the rate of 1,525 per quintal How much money did he get?

15. A transistor costs 2,492. Find the cost of 64 such transistors.

16. A rack can hold 1,850 books. How many books can be kept in 82 such racks.

17. A cartoon can hold 15 dozen of oranges. How many oranges are there in 924 cartons.

18. The cost of a doll is $ 524. What is the east of 680 such dolls?

19. The capacity of a water tank is 6450 litres. In a city, there are 250 such tanks. What is the storage capacity of the city?

20. A weaving machine makes 4148 m of cloth in a week. How much cloth will it in 48 weeks?

21. The water capacity of a tank is 1325 litres. Find the total capacity of such 174 tanks

22. In a village, there are 1265 farmers. Each farmer has 329 sheep. How many shees are there in all? 23. Nairitee reads 12 pages of a book in one hour How many pages are there in that book if she reads 5 hours in a day and finishes the book in 30 days?

24. A bus can carry 52 passengers in one tip. How many passengers will it carry in the month of July if it makes 5 trips in a day?

25. The monthly fee of a student a Rs. 530. There are 142 students in a class. How much fee is collected from that class?

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Related Concept

● Word Problems on Addition

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● Word Problems on Multiplication

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● Terms Used in Division

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A zeroing feedback gradient-based neural dynamics model for solving dynamic quadratic programming problems with linear equation constraints in finite time

• Original Article
• Published: 27 May 2024

Cite this article

• Shangfeng Du 1 ,
• Dongyang Fu   ORCID: orcid.org/0000-0003-0426-4356 1 ,
• Long Jin 2 ,
• Yang Si 1 &
• Yongze Li 1  

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Gradient-based neural dynamics (GND) models are a classical algorithm for solving optimization problems, but it has non-negligible flaws in solving dynamic problems. In this study, a novel GND model, namely the zeroing feedback gradient-based neural dynamics (ZF-GND) models, is proposed based on the original GND model for tracking down the exact solution of dynamic quadratic programming problem (DQP). Further, a nonlinear projection function is designed to accelerate the convergence of the model. An upper bound on the convergence time of the ZF-GND model is rigorously defined through theoretical analysis. The superior effect of the ZF-GND model in terms of convergence is verified through comparison experiments. Finally, an application of robot motion planning is introduced to verify the practicality of the ZF-GND model.

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Acknowledgements

This research was funded in part by the National Key Research and Development Program of China under Grant No. 2022YFC3103101, Key Special Project for Introduced Talents Team of Southern Marine Science and Engineering Guangdong Laboratory under Contract GML2021GD0809, National Natural Science Foundation of China under Contract 42206187, Key projects of the Guangdong Education Department under Grant No. 2023ZDZX4009.

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Shangfeng Du, Dongyang Fu, Yang Si & Yongze Li

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Du, S., Fu, D., Jin, L. et al. A zeroing feedback gradient-based neural dynamics model for solving dynamic quadratic programming problems with linear equation constraints in finite time. Neural Comput & Applic (2024). https://doi.org/10.1007/s00521-024-09762-3

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Received : 27 July 2023

Accepted : 25 March 2024

Published : 27 May 2024

DOI : https://doi.org/10.1007/s00521-024-09762-3

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