Question

7 A number, n, is rounded to 2 decimal places.

The result is 4.76.
Using inequalities, write down the error interval for n.

Answer 1

The error interval for rounding a number to 2 decimal places is (4.755, 4.765).

Step-by-step explanation:

To determine the error interval when rounding a number to 2 decimal places, we compare the target value with the lower and upper bounds. The target value is 4.76. To find the lower bound, we subtract the smallest possible value that would round to 4.76 from 4.76, which is 0.005. The upper bound is obtained by adding the smallest possible value that would round to 4.76 to 4.76, which is 0.005.

Therefore, the error interval for n is (4.755, 4.765), where 4.755 is the lower bound and 4.765 is the upper bound.

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