Question

A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M​

Answer 1

`9.35 \le M \le 9.45`

Explanation:

Given

`M = 9.4` to 1 d p

Required

The error interval

The error interval is represented as:

`Lower \le M \le Upper`

Where

`Lower = M - 0.05`

`Upper = M + 0.05`

So, we have:

`Lower = M - 0.05`

`Lower = 9.4 - 0.05`

`Lower = 9.35`

`Upper = M + 0.05`

`Upper = 9.4 + 0.05`

`Upper = 9.45`

Hence, the error interval:
`Lower \le M \le Upper` is:

`9.35 \le M \le 9.45`