Question

Ways to manipulate the general division with a remainder formula

A) Add the divisor to the quotient.
B) Subtract the remainder from the dividend.
C) Multiply the divisor by the quotient.
D) Divide the dividend by the remainder.

Answer 1

Option (C), To manipulate the general division formula with a remainder, you can subtract the remainder from the dividend or multiply the divisor by the quotient, which aligns with the division formula where Dividend = (Divisor × Quotient) + Remainder.

Step-by-step explanation:

The question pertains to manipulating the general division formula involving a remainder. The formula can be expressed as: Dividend = (Divisor × Quotient) + Remainder. Here are the correct manipulations:

• Add the divisor to the quotient - This doesn't directly relate to the formula.
• Subtract the remainder from the dividend - This will give you the multiple of the divisor that goes into the dividend.
• Multiply the divisor by the quotient - This will give you the part of the dividend that is completely divisible by the divisor.
• Divide the dividend by the remainder - This is not a typical operation within the context of the division with a remainder.

For example, if we have a division where the dividend is 15, the divisor is 4, and the quotient is 3 with a remainder of 3, we can check the operation by multiplying the divisor by the quotient (4 × 3 = 12) and adding the remainder (12 + 3 = 15) to get back to the dividend which is 15, confirming the division is correct.