Podcast
Questions and Answers
What is the primary purpose of multiplying the quotient by the divisor and adding the remainder in long division?
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?
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?
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?
What is the purpose of keeping track of how many times the divisor can be subtracted in repeated subtraction?
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?
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?
What is the main reason for checking answers in long division?
What is the main reason for checking answers in long division?
What should you do after multiplying the quotient by the divisor in long division?
What should you do after multiplying the quotient by the divisor in long division?
What is the result of multiplying the quotient by the divisor and adding the remainder in long division if the answer is correct?
What is the result of multiplying the quotient by the divisor and adding the remainder in long division if the answer is correct?
Why is it important to multiply the quotient by the divisor in long division?
Why is it important to multiply the quotient by the divisor in long division?
What is the benefit of checking answers in long division?
What is the benefit of checking answers in long division?
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.
