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12 (a) Work out - OCR - GCSE Maths - Question 12 - 2018 - Paper 2

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12 (a) Work out. 8 ÷ 0.4. (b) By writing each number correct to 1 significant figure, find an estimate for this calculation. 22.1 × 37 1.9

Worked Solution & Example Answer:12 (a) Work out - OCR - GCSE Maths - Question 12 - 2018 - Paper 2

Step 1

Work out. 8 ÷ 0.4

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Answer

To solve the division of 8 by 0.4, convert 0.4 to a whole number by multiplying both the dividend and the divisor by 10:

8×100.4×10=804=20\frac{8 \times 10}{0.4 \times 10} = \frac{80}{4} = 20

Thus, the answer to part (a) is 20.

Step 2

By writing each number correct to 1 significant figure, find an estimate for this calculation. 22.1 × 37 1.9

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Answer

First, round each number to 1 significant figure:

  • 22.1 rounds to 20
  • 37 rounds to 40
  • 1.9 rounds to 2

Now substitute these values into the expression:

20×402=8002=400\frac{20 \times 40}{2} = \frac{800}{2} = 400

Thus, the estimated result for part (b) is 400.

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