Exploring Division with Partial Quotients

What is the first step in division with partial quotients?

• Multiply the divisor by the highest possible number.

• Divide the dividend by the divisor exactly.

• Subtract the divisor from the dividend.

• Estimate how many times the divisor can go into the dividend.

What do you do after estimating the initial quotient in partial quotients method?

• Divide the dividend by the quotient.

• Add the result to the dividend.

• Subtract the result from the dividend.

• Multiply the divisor by the quotient.

Why is it important to be careful about place value in partial quotients?

• To ensure correct subtraction.

• To avoid confusion with the divisor.

• To make the division process faster.

• To accurately estimate the quotient.

What is a key feature of the partial quotients method?

• Estimation is a crucial step.

• Multiplication tables are not used.

• Exact division is required.

• It always results in a remainder.

How do you adjust your quotient if your initial guess is too high?

• Divide the quotient by the divisor.

• Multiply the quotient by the divisor.

• Add to the quotient and try again.

• Subtract from the quotient and try again.

What signifies the end of the division process in partial quotients?

• When the remainder is zero.

• When the remainder is less than the divisor.

• When the dividend is fully subtracted.

• When the quotient is a whole number.

How do you determine the next step after subtracting in partial quotients?

• Add the remainder to the quotient.

• Multiply again.

• Estimate a new quotient.

• Start over with a new divisor.

What happens if your initial estimate in partial quotients is too low?

• You adjust by adding to the estimate.

• You multiply the estimate by the divisor.

• You subtract it from the dividend.

• You divide the dividend by the estimate.

What is the result of 833 divided by 7 using partial quotients?

• 120

• 118

• 121

• 119

Why might someone choose the partial quotients method over traditional division?

• It allows for a more intuitive understanding of division.

• It is always faster.

• It doesn't use subtraction.

• It requires less estimation.