Question

Use the ALEKS calculator to approximate √140. Round your answer to the nearest hundredth.

a) √140 ≈ 11.83
b) √140 ≈ 11.82
c) √140 ≈ 11.81
d) √140 ≈ 11.80

Answer 1

The square root of 140, √140, is approximately 11.8321595661992, and when rounded to the nearest hundredth, it is 11.83. Thus, the correct answer is option (a) √140 ≈ 11.83.

Step-by-step explanation:

To approximate √140 and round your answer to the nearest hundredth, you would typically use a calculator. √140 is approximately 11.8321595661992 when computed on a calculator. To round this to the nearest hundredth, we look at the third decimal place which is a 2 in this case. Since 2 is less than 5, we do not round up the second decimal place. Therefore, the answer rounded to the nearest hundredth is 11.83.

Option (a), √140 ≈ 11.83, is the correct rounding of √140 to the nearest hundredth. This rounding rule is similar to the example provided where 921.996 is rounded to 922.00 because the digit in the thousandths place was greater than 5.