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Nathan works out 23 × 12.4 without a calculator - OCR - GCSE Maths - Question 3 - 2017 - Paper 1

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Nathan works out 23 × 12.4 without a calculator. This is Nathan’s working. 10 × 12.4 = 12.40 20 × 12.4 = 24.80 3 × 12.4 = 37.2 23 × 12.4 = 24.80 + 37.2 = 62 Natha... show full transcript

Worked Solution & Example Answer:Nathan works out 23 × 12.4 without a calculator - OCR - GCSE Maths - Question 3 - 2017 - Paper 1

Step 1

Explain the error that Nathan has made

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Answer

Nathan made an error when multiplying 12.4 by 10. He did not move the decimal point to the right properly. Instead of calculating 10 × 12.4 as 124.0, he mistakenly recorded it as 12.40.

This indicates that he has added an extra zero and misaligned the decimal point.

Step 2

Work out the correct answer

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Answer

To find the correct value of 23 × 12.4, we should first calculate:

  1. Calculate 20 × 12.4 = 248
  2. Calculate 3 × 12.4 = 37.2
  3. Add 248 + 37.2 = 285.2

Therefore, the correct answer is: 23×12.4=285.223 × 12.4 = 285.2

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