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5 (a) Find the value of the reciprocal of 1.6 Give your answer as a decimal - Edexcel - GCSE Maths - Question 5 - 2017 - Paper 3

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5 (a) Find the value of the reciprocal of 1.6 Give your answer as a decimal. Jess rounds a number, x, to one decimal place. The result is 9.8 (b) Write down the er... show full transcript

Worked Solution & Example Answer:5 (a) Find the value of the reciprocal of 1.6 Give your answer as a decimal - Edexcel - GCSE Maths - Question 5 - 2017 - Paper 3

Step 1

Find the value of the reciprocal of 1.6

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Answer

To find the reciprocal of a number, we divide 1 by that number. Therefore, the reciprocal of 1.6 is calculated as follows:

Reciprocal=11.6\text{Reciprocal} = \frac{1}{1.6}

Calculating this gives:

11.6=0.625\frac{1}{1.6} = 0.625

Thus, the value of the reciprocal of 1.6 is 0.625.

Step 2

Write down the error interval for x.

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Answer

Since Jess rounds the number x to one decimal place and the result is 9.8, we need to determine the error interval for this rounding.

The error interval for a number rounded to one decimal place can be expressed as:

9.75x<9.859.75 \leq x < 9.85

This indicates that the value of x could be any number between 9.75 and 9.85, but not including 9.85.

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