Question

Use properties of rational numbers to simplify the expression.

(22 - 14.13) - (105.4 + 6)
A.
119.53
B.
-75.27
C.
-103.53
D.
107.53

Answer 1

To simplify the expression \((22 - 14.13) - (105.4 + 6)\), we can follow these steps:

1. Calculate \(22 - 14.13\):
\[
22 - 14.13 = 7.87
\]

2. Calculate \(105.4 + 6\):
\[
105.4 + 6 = 111.4
\]

3. Now substitute these results back into the expression:
\[
7.87 - 111.4
\]

4. We will perform the subtraction:
\[
7.87 - 111.4 = 7.87 - 111.40 = 7.87 - 111.40 = -103.53
\]

Therefore, the simplified expression is \(-103.53\).

The answer is:
C. \(-103.53\)