Question

Number X rounded to 1 decimal place is 3.7
write down the error interval for X.

Answer 1

`{ \boxed{ \rm{3.65 \leqslant x \leqslant 3.75}}}`

Explanation:

The error bound 3.7 is half of the error difference

So, it is half of 0.1

`{ \rm{ (1)/(2) * 0.1 = 0.05 }} \\`

There fore, error interval

`= { \tt{(3.7 - 0.05) \leqslant x \leqslant (3.7 + 0.05)}} \\ \\ = { \rm{3.65 \leqslant x \leqslant 3.75}}`