A number, g, is given as 4.05, correct to 2 decimal places - OCR - GCSE Maths - Question 26 - 2019 - Paper 1
Question 26
A number, g, is given as 4.05, correct to 2 decimal places.
Complete the error interval for g.
(a) .................. < g < .................. [2]
A number, h, is... show full transcript
Worked Solution & Example Answer:A number, g, is given as 4.05, correct to 2 decimal places - OCR - GCSE Maths - Question 26 - 2019 - Paper 1
Step 1
Complete the error interval for g.
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Answer
For the number g=4.05, which is rounded to 2 decimal places, we identify the range it can take. The smallest value that rounds to 4.05 is 4.045, and the largest value that rounds down to 4.05 is 4.055.
Thus, the error interval for g is:
4.045<g<4.055
Step 2
Complete the error interval for h.
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Answer
For the number h=3, which is truncated to 1 significant figure, we find that the values that round to 3 can range from 2.5 up to 3.5, but not including 3.5 itself.
