Question

A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answer 1

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 3.7 unit so the error is half of 3.7 which is 1.85.

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Answer 2

Answer:

$3.65 < x < 3.75$

This is because we can round from $3.65 to 3.7$ to one decimal place, and because below $3.75$ signifies less than or equal to $3.74$, rounding to one decimal point gives us $3.7.$

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