Question

A number, x, rounded to 2 decimal places is 15.38 Write down the error interval for x.​

Answer 1

The error interval needed is [15.375, 15.385)

Given that:

A number 'x' rounded to 2 decimal places = 15.38

According to the rules of the rounding of number, we surely know that

x must be in [ 15.375, 15.385) since if x is outside of this interval, then rounding to two places of decimal won't lead to 15.38.

Since x can't be 15.385 itself since that rounds up to 15.39

Or:

`15.375 \leq x\leq 15.385`

Thus we have :

Error Interval = [15.375 , 15.385)