Question

Let $S=15.247 /14.85 + 18.1$. How much larger is $ if you round each of these numbers to the nearest ten before calculating $ than if you round each to the nearest whole number?

a) 0.1
b) 0.2
c) 0.5
d) 1.0

Answer 1

Upon calculating the expression by rounding numbers to the nearest ten and to the nearest whole number, the difference was found to be 3, which does not match any provided options (0.1, 0.2, 0.5, or 1.0). There may be an error in the question or options.

Step-by-step explanation:

We're asked to compare the difference in results when we round numbers in a calculation to the nearest ten versus the nearest whole number. The expression given is S = 15.247 / 14.85 + 18.1. Let's calculate S by rounding to the nearest ten and to the nearest whole number.First, rounding to the nearest ten:

• 15.247 rounds to 20.
• 14.85 rounds to 10.
• 18.1 rounds to 20.

Our new expression becomes S = 20 / 10 + 20, which simplifies to S = 2 + 20 = 22.Now, rounding to the nearest whole number:

• 15.247 rounds to 15.
• 14.85 rounds to 15.
• 18.1 rounds to 18.

The expression becomes S = 15 / 15 + 18, which simplifies to S = 1 + 18 = 19.

The difference between the two results is 22 - 19 = 3. None of the options provided (0.1, 0.2, 0.5, or 1.0) matches the calculated difference. There must be an error in the question or the options provided.