Podcast
Questions and Answers
What result do you get when multiplying 62 by 4?
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?
When multiplying 25 by 6, what is written in the ones place after the first step?
- 0 (correct)
- 3
- 8
- 5
What is the total when 41 is multiplied by 9?
What is the total when 41 is multiplied by 9?
- 492
- 400
- 369 (correct)
- 369 (correct)
In the multiplication of 27 by 12, what do you regroup after the first calculation?
In the multiplication of 27 by 12, what do you regroup after the first calculation?
What is the correct sum of the results after multiplying 23 by 21?
What is the correct sum of the results after multiplying 23 by 21?
When calculating 38 multiplied by 7, what is its expected result?
When calculating 38 multiplied by 7, what is its expected result?
In the multiplication process, which of the following does not occur when finding 49 multiplied by 4?
In the multiplication process, which of the following does not occur when finding 49 multiplied by 4?
What is written in the tens place when multiplying 2 tens by 6 in the problem 25 x 6?
What is written in the tens place when multiplying 2 tens by 6 in the problem 25 x 6?
What is the first step in multiplying 64 by 2?
What is the first step in multiplying 64 by 2?
What is the result of multiplying 72 by 8?
What is the result of multiplying 72 by 8?
How is the sum calculated in the multiplication of 217 by 4 after all steps?
How is the sum calculated in the multiplication of 217 by 4 after all steps?
What is the product of 3125 and 12?
What is the product of 3125 and 12?
Which method is used to multiply numbers horizontally according to the provided examples?
Which method is used to multiply numbers horizontally according to the provided examples?
What is the first operation performed when using the box method for 276 x 123?
What is the first operation performed when using the box method for 276 x 123?
In the example 42538 x 39, what is the result of multiplying 42538 by 3 tens?
In the example 42538 x 39, what is the result of multiplying 42538 by 3 tens?
What mistake might a student make when regrouping in the operation 4 x 7 in 217 x 4?
What mistake might a student make when regrouping in the operation 4 x 7 in 217 x 4?
Which of the following calculations contributes to the hundreds place in the calculation of 42538 x 39?
Which of the following calculations contributes to the hundreds place in the calculation of 42538 x 39?
Which of the following accurately reflects what occurs after multiplying 42538 by 9 in the example provided?
Which of the following accurately reflects what occurs after multiplying 42538 by 9 in the example provided?
What is the total number of bars of soap bought if a businessman purchased 170 boxes, each containing 20 bars?
What is the total number of bars of soap bought if a businessman purchased 170 boxes, each containing 20 bars?
If a school bought 5,624 crates of soda with each crate containing 24 bottles, how many bottles did they purchase?
If a school bought 5,624 crates of soda with each crate containing 24 bottles, how many bottles did they purchase?
How many sacks of beans will a bus carry after making 19 trips if it carries 60 sacks per trip?
How many sacks of beans will a bus carry after making 19 trips if it carries 60 sacks per trip?
If an airport serves 462,015 passengers each month, how many passengers will be served in five months?
If an airport serves 462,015 passengers each month, how many passengers will be served in five months?
What is the result of multiplying 239,586 by 24?
What is the result of multiplying 239,586 by 24?
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?
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?
What is the product of 4181 multiplied by 54?
What is the product of 4181 multiplied by 54?
If a nursery plants 3,841 trees and there are 389 nurseries, how many trees were planted in total?
If a nursery plants 3,841 trees and there are 389 nurseries, how many trees were planted in total?
What do you get when you multiply 872 by 13?
What do you get when you multiply 872 by 13?
What is the total number of books printed by a factory in 317 days if it prints 685,390 books each day?
What is the total number of books printed by a factory in 317 days if it prints 685,390 books each day?
Flashcards
Multiplication
Multiplication
Multiplication is a mathematical operation that combines two numbers, called factors, to find their product or total.
One-Digit Multiplier
One-Digit Multiplier
A one-digit multiplier is a number with only one digit, used in multiplication.
Two-Digit Multiplier
Two-Digit Multiplier
A two-digit multiplier is a number with two digits, used in multiplication.
Place Value Expansion
Place Value Expansion
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Regrouping (Carrying)
Regrouping (Carrying)
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Two-Digit by One-Digit Multiplication
Two-Digit by One-Digit Multiplication
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Two-Digit by Two-Digit Multiplication
Two-Digit by Two-Digit Multiplication
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Vertical Alignment
Vertical Alignment
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Combining (Addition of Partial Products)
Combining (Addition of Partial Products)
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Decimal Point Shift (Multiplication by 10, 100, etc.)
Decimal Point Shift (Multiplication by 10, 100, etc.)
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Traditional Multiplication
Traditional Multiplication
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Multiplication by Boxes
Multiplication by Boxes
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Multiplication of Multi-Digit Numbers by a Single-Digit
Multiplication of Multi-Digit Numbers by a Single-Digit
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Horizontal Arrangement Method
Horizontal Arrangement Method
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Regrouping
Regrouping
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Place Value
Place Value
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Multiplicand
Multiplicand
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Multiplier
Multiplier
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Product
Product
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Multiplication of Multi-Digit Numbers by Two-Digit
Multiplication of Multi-Digit Numbers by Two-Digit
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Decimal Shift Multiplication
Decimal Shift Multiplication
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Multi-Digit Multiplication
Multi-Digit Multiplication
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Carrying in Multiplication
Carrying in Multiplication
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Word Problem: Multiplication
Word Problem: Multiplication
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Vertical Alignment in Multiplication
Vertical Alignment in Multiplication
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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.
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