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By writing each number correct to 1 significant figure, find an estimate for this calculation - OCR - GCSE Maths - Question 2 - 2018 - Paper 5

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By writing each number correct to 1 significant figure, find an estimate for this calculation. 606.3 × 0.312 19.93

Worked Solution & Example Answer:By writing each number correct to 1 significant figure, find an estimate for this calculation - OCR - GCSE Maths - Question 2 - 2018 - Paper 5

Step 1

Write each number correct to 1 significant figure

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Answer

To round each number to one significant figure, we analyze each number separately:

  • For 606.3, the first significant figure is 6. Therefore, rounded to 1 significant figure it becomes 600.
  • For 0.312, the first significant figure is 3. So rounding it to 1 significant figure gives us 0.3.
  • For 19.93, the first significant figure is 1. Hence, it rounds to 20.

Step 2

Calculate the estimated value

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Answer

Now we perform the estimation calculation using the rounded values:

rac{600 imes 0.3}{20}

Calculating the numerator:

  • 600 × 0.3 = 180.

Now, divide this by the denominator:

rac{180}{20} = 9.

Therefore, the estimate for the calculation is 9.

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