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
Question 5
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=1.61
Calculating this gives:
1.61=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:
9.75≤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.