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check: $608 ≈ 8 × 76$ 5. estimate the quotient. complete the tape diagr…

Question

check:
$608 ≈ 8 × 76$

  1. estimate the quotient. complete the tape diagram. then complete the vertical form and check your work.

$68 ÷ 17 ≈$ ____ $÷$ __ $=$ ____
a.
b.
quotient: ______
remainder: ______
check:
$68 =$ ______ $× 17$

Explanation:

Step1: Round numbers for estimation

Round $68 \approx 70$ and $17 \approx 20$. The estimation becomes $70 \div 20 = 3.5 \approx 4$.

Step2: Fill tape diagram

Since $68 \div 17 = 4$, the tape diagram has 4 equal parts each labeled 17, so the long box represents 4.

Step3: Complete vertical division

Divide 68 by 17: $17 \times 4 = 68$, so the quotient is 4, remainder is 0.

Step4: Verify with multiplication

Check: $4 \times 17 = 68$.

Answer:

a. $68 \div 17 \approx 70 \div 20 = 4$; Tape diagram long box = 4
b. Quotient: 4
Remainder: 0
Check: $68 = 4 \times 17$