Question

9 stretch your thinking write and solve a division problem that divides a 4 - digit number by a 2 - digit number. how did you estimate the first digit of the quotient?

Explanation:

Step1: Create division problem

Choose 4-digit number $5280$, 2-digit number $24$. Problem: $\frac{5280}{24}$

Step2: Estimate first quotient digit

Round divisor to 20, first 2 digits of dividend to 50. $\frac{50}{20} \approx 2$. Test $24 \times 2 = 48 \leq 52$.

Step3: Subtract and bring down digit

$52 - 48 = 4$, bring down 8: $48$

Step4: Solve for next quotient digit

$\frac{48}{24} = 2$, write 2 in quotient.

Step5: Bring down final digit

Bring down 0: $0$, $\frac{0}{24} = 0$, write 0 in quotient.

Answer:

Created problem: Divide 5280 by 24.
Estimation: Rounded the divisor 24 to 20 and the first two digits of 5280 (52) to 50, calculated $\frac{50}{20} \approx 2$, then verified $24 \times 2 = 48$ is less than 52 to confirm the first quotient digit is 2.
Final quotient: $220$