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Year 7 Estimating Sums, Differences and Products Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 place value worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Place Value

Year 7 Estimating Sums, Differences and Products Worksheet — Level 3 — Answers

Round each number first, then work out the estimate in your head.

1.Estimate 3,380 − 1,919 by rounding each number to the nearest 100.

Answer: 1,500

  1. 3,380 rounds to 3,400; 1,919 rounds to 1,900
  2. 3,400 − 1,900 = 1,500

The exact answer is 1,461, close to the estimate.

2.Estimate 28 × 52 by rounding each number to the nearest 10.

Answer: 1,500

  1. 28 rounds to 30; 52 rounds to 50
  2. 30 × 50 = 1,500

The exact answer is 1,456.

3.Estimate 98 × 86 by rounding each number to the nearest 10.

Answer: 9,000

  1. 98 rounds to 100; 86 rounds to 90
  2. 100 × 90 = 9,000

The exact answer is 8,428.

4.Estimate 5,756 + 1,860 by rounding each number to the nearest 100.

Answer: 7,700

  1. 5,756 rounds to 5,800; 1,860 rounds to 1,900
  2. 5,800 + 1,900 = 7,700

The exact answer is 7,616, close to the estimate.

5.Estimate 92 × 11 by rounding each number to the nearest 10.

Answer: 900

  1. 92 rounds to 90; 11 rounds to 10
  2. 90 × 10 = 900

The exact answer is 1,012.

6.Estimate 72 × 92 by rounding each number to the nearest 10.

Answer: 6,300

  1. 72 rounds to 70; 92 rounds to 90
  2. 70 × 90 = 6,300

The exact answer is 6,624.

7.Estimate 2,528 − 1,695 by rounding each number to the nearest 1,000.

Answer: 1,000

  1. 2,528 rounds to 3,000; 1,695 rounds to 2,000
  2. 3,000 − 2,000 = 1,000

The exact answer is 833, close to the estimate.

8.Estimate 56 × 75 by rounding each number to the nearest 10.

Answer: 4,800

  1. 56 rounds to 60; 75 rounds to 80
  2. 60 × 80 = 4,800

The exact answer is 4,200.

9.Estimate 98 × 7 by rounding 98 to the nearest 10.

Answer: 700

  1. 98 rounds to 100
  2. 100 × 7 = 700

The exact answer is 686.

10.Estimate 6,040 + 9,115 by rounding each number to the nearest 100.

Answer: 15,100

  1. 6,040 rounds to 6,000; 9,115 rounds to 9,100
  2. 6,000 + 9,100 = 15,100

The exact answer is 15,155, close to the estimate.

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