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The length, L, of a steel rod is 8.3m, correct to 1 decimal place - OCR - GCSE Maths - Question 2 - 2017 - Paper 1

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The length, L, of a steel rod is 8.3m, correct to 1 decimal place. Complete the error interval for length L.

Worked Solution & Example Answer:The length, L, of a steel rod is 8.3m, correct to 1 decimal place - OCR - GCSE Maths - Question 2 - 2017 - Paper 1

Step 1

Complete the error interval for length L.

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Answer

To determine the error interval for the length L, we take into account that the measurement is correct to 1 decimal place. This means that the actual value of L can be 0.05 more or less than the stated value. Therefore:

Given the stated length is 8.3 m:

  • The lowest possible value (L_min) is 8.3 - 0.05 = 8.25 m
  • The highest possible value (L_max) is 8.3 + 0.05 = 8.35 m

Thus, the error interval for the length L is:

8.25<L<8.358.25 < L < 8.35

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