Question

A number X rounded to 2 decimal places is 7.42. Write down the error interval for X

Answer 1

X = [7.415,7.419].

Explanation:

The number is 7.42 so the thousandth place is from 5 to 9 and hundredth place is 1. i.e. 7.415, 7.416, 7.417, 7.418, 7.419. As 7.415 rounded to 2 decimal place is 7.42. The interval in x[7.415, 7.419].

Answer 2

The error interval for X is [7.42, 7.43]

To find the error interval for the number X rounded to 2 decimal places as 7.42, you can use the following steps:

1. Determine the smallest possible value for X:

- When rounding to 2 decimal places, the smallest possible value is achieved by rounding down from 7.42. So, X is at least 7.42.

2. Determine the largest possible value for X:

- When rounding to 2 decimal places, the largest possible value is achieved by rounding up from 7.42. So, X is at most 7.43.

So, the error interval for X is [7.42, 7.43]. This means that X can be any value within this range when rounded to 2 decimal places.