Question

estimate, and then find the quotient. use your estimate to check for reasonableness. 3,588 ÷ 78 choose the best estimate for the quotient. □ ÷ □ = □ (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: Round numbers for estimation

Round 3,588 to 3,600 and 78 to 80.
$\frac{3600}{80} = 45$

Step2: Calculate exact quotient

Divide 3,588 by 78.
$3588 \div 78 = 46$

Step3: Verify reasonableness

The exact quotient 46 is close to the estimate 45, so it is reasonable.

Answer:

Estimate: $\frac{3600}{80} = 45$
Exact quotient: A. $3,588 \div 78 = 46$