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 □
click to select your answer(s).

Explanation:

Step1: Round numbers for estimation

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

Step2: Calculate exact quotient

Divide $3,588$ by $78$.
Exact calculation: $78 \times 46 = 3,588$, so $\frac{3588}{78} = 46$

Step3: Check reasonableness

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

Answer:

Best estimate: $\boldsymbol{3600 \div 80 = 45}$
Quotient choice: A. $3,588 \div 78 = \boldsymbol{46}$