Question

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

Answer 1

3.65 ≤ x ≤ 3.75

Explanation:

1. Identify the place value of the degree of accuracy stated – this will be the interval size required for the error interval.

To the nearest decimal place -> 0.1

2. If rounded: Divide this place value by 2, and then add and subtract this amount to the given value to give the maximum and minimum values for your error interval.

0.1/2 = 0.05

Max: 3.7 + 0.05 = 3.75

Min: 3.7 - 0.05 = 3.65

3. Write your error interval as an inequality in the form

Min ≤ x < Max

3.65 ≤ x ≤ 3.75

Answer 2

3.7

Explanation:

To find the error interval for X, we need to consider the possible range of values that X could take, given that it was rounded to 1 decimal place as 3.7.

Since 3.7 was rounded up from some number greater than or equal to 3.65 and less than 3.75, we can express the error interval as follows:

3.65 ≤ X < 3.75

This means that any number between 3.65 and 3.75, when rounded to 1 decimal place, would result in 3.7 as the rounded value.