Anytime you use a calculator to evaluate a fraction or square root you risk loss of precision because a calculator will need to round the resulting long decimal numbers to fit on the screen.

Question

Example: 22/7 is more precise than the calculator evaluation 3.142857143

Example: √5 is more precise than the calculator evaluation 2.236067977



Question: Which number is more precise, 62/5 or that number’s calculator evaluation at 2.047?

(1 point)
Responses

62/5
6 2/5

calculator evaluation at 2.04

Answer 1

To determine which number is more precise, we need to evaluate both numbers.

First, let's find the value of \(62/5\):

\[ 62/5 = 12.4 \]

Now, we compare this with the calculator evaluation of 2.047.

Since \(12.4\) (the exact value of \(62/5\)) is clearly distinct from \(2.047\), we can conclude that \(62/5\) is more precise than the calculator evaluation of \(2.047\).

So, the more precise number is:

62/5