Question

estimate, and then find the quotient. use your estimate to check for reasonableness
3,588 ÷ 78

3,200 ÷ 80 = 40 (type a whole number.)
find the quotient. select the correct choice below and fill in the answer box(es) to complete your choice
a. 3,588 ÷ 78 =

b. 3,588 ÷ 78 = r

Explanation:

Step1: Verify the estimate

We round 3,588 to 3,200 and 78 to 80, so $\frac{3200}{80}=40$, which matches the given estimate.

Step2: Calculate exact quotient

Divide 3,588 by 78:
$$78 \times 46 = 78 \times (40 + 6) = 78\times40 + 78\times6 = 3120 + 468 = 3588$$

Answer:

A. $3,588 \div 78 = 46$