Math Practice Problems - Estimated Division

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Estimated Division - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=5

Estimate the quotient by rounding numbers to the first digit, and then dividing.

Answers

Complexity=4

Estimate the quotient by rounding numbers to the first digit, and then dividing.

Problem

Correct Answer

Your Answer

1,245 ÷ 83 ≈

Solution
1,245 ÷ 83 ≈ 1,000 ÷ 80 ≈ 10
The exact answer would be 1,245 ÷ 83 = 15.
Alternatively, you could work backwards by plugging in choices to the rounded equivalent multiplication equation, and seeing which answer fits best:
1,000 ≈ 80 × 10, which = 800, the closest to 1,245.

Problem

Correct Answer

Your Answer

4,814 ÷ 83 ≈

500

400

600

Solution
4,814 ÷ 83 ≈ 5,000 ÷ 80 ≈ 60
The exact answer would be 4,814 ÷ 83 = 58.
Alternatively, you could work backwards by plugging in choices to the rounded equivalent multiplication equation, and seeing which answer fits best:
5,000 ≈ 80 × 60, which = 4,800, the closest to 4,814.

Complexity=5

Estimate the quotient by rounding numbers to the first digit, and then dividing.

Problem

Correct Answer

Your Answer

65,680 ÷ 821 ≈

900

800

700

Solution
65,680 ÷ 821 ≈ 70,000 ÷ 800 ≈ 90
The exact answer would be 65,680 ÷ 821 = 80.
Alternatively, you could work backwards by plugging in choices to the rounded equivalent multiplication equation, and seeing which answer fits best:
70,000 ≈ 800 × 90, which = 72,000, the closest to 65,680.

Problem

Correct Answer

Your Answer

35,616 ÷ 424 ≈

600

1,000

100

Solution
35,616 ÷ 424 ≈ 40,000 ÷ 400 ≈ 100
The exact answer would be 35,616 ÷ 424 = 84.
Alternatively, you could work backwards by plugging in choices to the rounded equivalent multiplication equation, and seeing which answer fits best:
40,000 ≈ 400 × 100, which = 40,000, the closest to 35,616.

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