• Mathematics
• High School

## Solve the following multiplication problems. a. 9 kg 3 hg 1 cg × 9 = b. 11 dg 4 cg × 12 = c. 10 g 5 dg × 6 = d. 5 g 3 dg 4 cg × 8 = help...

Step-by-step explanation:

We convert into decimals and then multiply

Otherwise we can convert everything into one unit and then multiply.

10 hg = 1 kg and 100x1000 cg = 1kg

a. 9 kg 3 hg 1 cg × 9 = 9.300001x9=83.700009 kg

b.  11 dg 4 cg × 12 = 11.400004x12 =16.8000048kg

c. 10 g 5 dg × 6 = 10.5x6 =63.0 kg

d. 5 g 3 dg 4 cg × 8 =5.300004x8 = 42.400032

## 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?

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?

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?

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

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?

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

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?

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

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?

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?

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?

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

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

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

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## How to Solve a Multiplication Problem

Do you want to know how to solve a multiplication problem? Have you already learned how to multiply? Did you know that solving problems is the best way to learn multiplication?

That’s why we are going to look at the different steps that we need to follow in order to solve a multiplication problem.

## Let’s get to it and look at a multiplication problem:

The witch Malitch made 10 bottles of potion to take to the annual Witches of the World convention. At this convention, all of the witches present new magic potions and the best one wins the Flying Broom Prize. To make each potion, she used 3 boxes of magic herbs that were 5 pounds each. How many pounds of magic herbs did she use in total?

1) The first thing we need to do is to read the problem carefully . In order to make sure that we understand it, we can ask ourselves questions about the problem, for example:

2) Once we understand what the problem said, we continue reading the question and analyze it by asking ourselves more questions:

3) Now, we can move on to think about the operation that we need to carry out:

We want to know how many pounds she used in total. We know that she used 3 boxes for each potion and that each box weighed 5 pound s, so:

For each potion she used 5 + 5 + 5 pounds . Or, expressed in a different way: 3 x 5 = 15 pounds.

Now we know that she used 15 pounds of magic herbs for each potion and we know that she made 10 bottles of potion, so:

In total, to make all of the potions, she used 15 x 10 = 150 pounds of magic herbs.

4) This last step is very important. We’ve gotten an answer, but now we need to critically reflect on the number that we got:

Finally, does it make sense that the answer (150) is greater than the numbers given in the problem (10, 3, 5)? Yes, it makes sense because these numbers referred to each potion or each box. The answer refers to the total amount of potions and the total amount of boxes.

Let’s solve the problem mentally using approximations: does it make sense that the number we got is 150? Yes. For example, it wouldn’t make sense if we got an answer of 30 because it’s too small of a number to be the answer of 10 x 3 x 5. It wouldn’t make sense either if we got 150,000 because it’s too big of a number.

So we have the final answer:

The witch Malitch used 150 pounds of magic herbs in total.

See? In order to solve a multiplication problem correctly, it’s not enough to just multiply all of the numbers, rather, we need to understand, analyze and reflect on what the problem says before we go ahead with the operation. We also need to check the answer.

Remember this for the next time that you have to solve a multiplication problem or any other problem for that matter!

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