Question

A number x, rounded to 2 decimal places is 7.42 write down the error interval for x

Answer 1

7.415 ≤ x < 7.425

Explanation:

The number x was rounded to 2 decimal places to give 7.42.

Since rounded off to 2 decimal places, the error interval for x is half of 0.01 subtracted from and added to 7.42.

Thus;

7.42 ± (0.01/2)

(7.42 - 0.005),(7.42 + 0.005)

7.415, 7.425

Now, 7.425 will not be included in the internal because approximating it doesn't give 7.42.

Thus,the error interval is;

7.415 ≤ x < 7.425