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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=4

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

1.   1,245 ÷ 83 ≈
 2
 1
 10
 20
2.   4,814 ÷ 83 ≈
 60
 500
 400
 6
 5
 600

### Complexity=5

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

1.   65,680 ÷ 821 ≈
 900
 90
 800
 700
2.   35,616 ÷ 424 ≈
 600
 1,000
 10
 100

### Complexity=4

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

11,245 ÷ 83 ≈
 2
 1
 10
 20
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.
24,814 ÷ 83 ≈
 60
 500
 400
 6
 5
 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.

165,680 ÷ 821 ≈
 900
 90
 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.
235,616 ÷ 424 ≈
 600
 1,000
 10
 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.