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estimate, and then find the quotient. use your estimate to check for re…

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 $3588$ to $3600$, round $78$ to $80$.
Estimation: $\frac{3600}{80} = 45$

Step2: Calculate exact quotient

Divide $3588$ by $78$:
$78 \times 46 = 78 \times (40 + 6) = 3120 + 468 = 3588$

Answer:

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