PS4MA Multiplication Medium

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Questions and Answers

What result do you get when multiplying 62 by 4?

232

240

264

248 (correct)

When multiplying 25 by 6, what is written in the ones place after the first step?

0 (correct)

What is the total when 41 is multiplied by 9?

492

400

369 (correct)

In the multiplication of 27 by 12, what do you regroup after the first calculation?

10 ones into 1 ten Signup and view all the answers

What is the correct sum of the results after multiplying 23 by 21?

483 Signup and view all the answers

When calculating 38 multiplied by 7, what is its expected result?

276 Signup and view all the answers

In the multiplication process, which of the following does not occur when finding 49 multiplied by 4?

Regrouping hundreds into thousands Signup and view all the answers

What is written in the tens place when multiplying 2 tens by 6 in the problem 25 x 6?

5 Signup and view all the answers

What is the first step in multiplying 64 by 2?

Multiply 4 by 2 Signup and view all the answers

What is the result of multiplying 72 by 8?

576 Signup and view all the answers

How is the sum calculated in the multiplication of 217 by 4 after all steps?

28 + 40 + 800 = 868 Signup and view all the answers

What is the product of 3125 and 12?

37,500 Signup and view all the answers

Which method is used to multiply numbers horizontally according to the provided examples?

Horizontal arrangement Signup and view all the answers

What is the first operation performed when using the box method for 276 x 123?

Draw the boxes Signup and view all the answers

In the example 42538 x 39, what is the result of multiplying 42538 by 3 tens?

1,276,140 Signup and view all the answers

What mistake might a student make when regrouping in the operation 4 x 7 in 217 x 4?

Forgetting to write the result in the ones place Signup and view all the answers

Which of the following calculations contributes to the hundreds place in the calculation of 42538 x 39?

42538 x 3 Signup and view all the answers

Which of the following accurately reflects what occurs after multiplying 42538 by 9 in the example provided?

The sum is calculated directly Signup and view all the answers

What is the total number of bars of soap bought if a businessman purchased 170 boxes, each containing 20 bars?

3,400 bars Signup and view all the answers

If a school bought 5,624 crates of soda with each crate containing 24 bottles, how many bottles did they purchase?

134,976 bottles Signup and view all the answers

How many sacks of beans will a bus carry after making 19 trips if it carries 60 sacks per trip?

1,140 sacks Signup and view all the answers

If an airport serves 462,015 passengers each month, how many passengers will be served in five months?

2,310,075 passengers Signup and view all the answers

What is the result of multiplying 239,586 by 24?

5,454,144 Signup and view all the answers

In how many weeks will a farmer who has 5,998 hens produce a total of 83,964 eggs if each hen lays two eggs per day?

9 weeks Signup and view all the answers

What is the product of 4181 multiplied by 54?

225,774 Signup and view all the answers

If a nursery plants 3,841 trees and there are 389 nurseries, how many trees were planted in total?

1,509,289 trees Signup and view all the answers

What do you get when you multiply 872 by 13?

11,336 Signup and view all the answers

What is the total number of books printed by a factory in 317 days if it prints 685,390 books each day?

217,513,030 Signup and view all the answers

Study Notes

Multiplication of Whole Numbers

Multiplication is a mathematical operation used in various contexts, including business, construction, statistics, sports, and finance.

Introduction to Multiplication

This chapter explores multiplying whole numbers, a fundamental mathematical concept applied in everyday life.

Multiplication of Two-Digit Numbers by a One-Digit Multiplier

Example 1 (62 × 4):
- Multiply the ones place (2 × 4 = 8).
- Multiply the tens place (6 × 4 = 24). Write down the 4 in the tens place and regroup the 20 into hundreds.
- Combine the results (248).
Example 2 (25 × 6):
- Multiply the ones place (5 × 6 = 30). Write down the 0 in the ones place and regroup the 3.
- Multiply the tens place (2 × 6 = 12). Add the regrouped 3 (12 + 3 = 15). Write down the 5 in the tens place and the 1 in the hundreds place
- Combine the results (150).

Multiplication of Two-Digit Numbers by a Two-Digit Multiplier

Example 1 (23 × 21):
- Multiply the first number by the ones place of the second number (23 × 1 = 23).
- Multiply the first number by the tens place of the second number, shifting the result one place to the left (23×20 = 460).
- Add the two results (23 + 460 = 483).
Example 2 (78 × 69):
- Multiply the ones place (9 × 8 = 72). Write down the 2 and carry over the 7tens.
- Multiply the tens place (9 × 70 = 630). Add the carried 70 (630 + 70 = 700). Write down the 0 and carry over the 7 hundreds.
- Multiply the first number by the tens place of the second number, shifting the result one place to the left (70 × 60 = 4200). Add the previous carried 700 (4200 + 700 = 4900). Write down the 0 in the hundreds place and the 9 in the thousands place.
- Combine the two results (702 + 4680 = 5382).

Multiplication of Three-Digit Numbers by a Two-Digit Multiplier

Example 1 (78 × 69):
- Multiply vertically aligning the digits by place values ( ones, tens and hundreds).
- Add the results from the previous steps (702 + 4680 = 5382).
- Writing vertically and multiplying each digit by the ones and tens, carrying over as needed and then adding.

Multiplication of Numbers with up to Six Digits by a Multiplier

Example methods are demonstrated including horizontal arrangements and vertical arrangements
Examples and exercises are provided for different multiplication scenarios.

Word Problems

Several word problems are included for practice applying multiplication to real-world scenarios.
- Examples include calculating total items, amounts, etc based on specific parameters.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

This quiz covers the multiplication of whole numbers, emphasizing methods for multiplying two-digit numbers by one-digit and two-digit multipliers. It includes practical examples to illustrate these multiplication techniques, demonstrating their applicability in everyday situations.