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Long Division Method

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@SubsidizedKazoo

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Questions and Answers

What is the primary purpose of multiplying the quotient by the divisor and adding the remainder in long division?

To find the divisor

To verify the accuracy of the calculation (correct)

To find the quotient

To find the dividend

What is the result of repeated subtraction in dividing 18 by 3, as shown in the example?

Quotient: 6, Remainder: 0 (correct)

Quotient: 5, Remainder: 3

Quotient: 4, Remainder: 2

Quotient: 3, Remainder: 1

What is the definition of the quotient in the context of long division?

The number of times the divisor is subtracted from the dividend (correct)

The result of multiplying the dividend by the divisor

The number being divided

The number by which we are dividing

What is the purpose of keeping track of how many times the divisor can be subtracted in repeated subtraction?

To find the quotient Signup and view all the answers

What happens if the result of multiplying the quotient by the divisor and adding the remainder is not equal to the dividend in long division?

There may be an error in the calculation Signup and view all the answers

What is the main reason for checking answers in long division?

To ensure the accuracy of the quotient and remainder Signup and view all the answers

What should you do after multiplying the quotient by the divisor in long division?

Add the remainder to the product Signup and view all the answers

What is the result of multiplying the quotient by the divisor and adding the remainder in long division if the answer is correct?

A number equal to the original dividend Signup and view all the answers

Why is it important to multiply the quotient by the divisor in long division?

To verify the accuracy of the quotient Signup and view all the answers

What is the benefit of checking answers in long division?

It helps to catch mistakes made during the division process Signup and view all the answers

Study Notes

Long Division

Checking Answers

To check the answer in long division, multiply the quotient (result) by the divisor (number by which we are dividing) and add the remainder.
This should equal the dividend (original number being divided).
If the result is not equal, there may be an error in the calculation.

Repeated Subtraction

Repeated subtraction is a method used to understand the concept of long division.
It involves subtracting the divisor from the dividend repeatedly, keeping track of how many times it can be subtracted.
The number of times the divisor can be subtracted is the quotient, and the remaining amount is the remainder.
Example: Divide 18 by 3 using repeated subtraction
- 18 - 3 = 15 (1 time)
- 15 - 3 = 12 (2 times)
- 12 - 3 = 9 (3 times)
- 9 - 3 = 6 (4 times)
- 6 - 3 = 3 (5 times)
- 3 - 3 = 0 (6 times) Quotient: 6, Remainder: 0

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Description

Learn about the long division method, including checking answers and repeated subtraction. Understand the concept of long division with easy-to-follow examples.