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By rounding each value to one significant figure, estimate the cost of 3.9kg of apples at 87p per kg. - OCR - GCSE Maths - Question 2 - 2019 - Paper 2

Question 2

By rounding each value to one significant figure, estimate the cost of 3.9kg of apples at 87p per kg.

Worked Solution & Example Answer:By rounding each value to one significant figure, estimate the cost of 3.9kg of apples at 87p per kg. - OCR - GCSE Maths - Question 2 - 2019 - Paper 2

Step 1

Round 3.9 kg to one significant figure

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Answer

To round 3.9 kg to one significant figure, we look at the first digit, which is '3'. The next digit is '9', so we round up. Thus, 3.9 kg rounded to one significant figure is 4 kg.

Step 2

Round 87 p to one significant figure

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Answer

The first digit in 87 p is '8', and the next digit '7' is sufficient to round up. Hence, 87 p rounded to one significant figure is 90 p.

Step 3

Calculate the estimated cost

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Answer

Now, to estimate the cost of 4 kg of apples at 90 p per kg, we calculate:

$ext{Estimated Cost} = 4 ext{ kg} imes 90 ext{ p} = 360 ext{ p}$

To convert pence to pounds, we divide by 100:

$rac{360 ext{ p}}{100} = 3.60 ext{ £}$

Thus, the total estimated cost is £3.60.

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