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

Question 12

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 x 37 1.9

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

Step 1

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Answer

To solve the division, we can first convert 0.4 into a fraction:

$0.4 = \frac{4}{10} = \frac{2}{5}$

Now, dividing by a fraction is equivalent to multiplying by its reciprocal:

$8 \div 0.4 = 8 \times \frac{5}{2} = 8 \times 2.5 = 20$

Thus, the answer is 20.

Step 2

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Answer

First, let's round each number to one significant figure:

Now, we can use these rounded values to estimate:

$\frac{20 \times 40}{2} = \frac{800}{2} = 400$

So, the estimated calculation is 400.

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