Question

which expression is equivalent to -75.4 + (-63.4)

A. -75.4 - 63.4
B. 63.4 - (-75.4)
C. -63.4 - (-75.4)
D. -63.4 + 75.4

Answer 1

To find an expression equivalent to \(-75.4 + (-63.4)\), we can simplify \(-75.4 + (-63.4)\):

\[
-75.4 + (-63.4) = -75.4 - 63.4
\]

Now let's evaluate the options:

- A. \(-75.4 - 63.4\) (This is equivalent to the original expression)
- B. \(63.4 - (-75.4)\) (This is equivalent to \(63.4 + 75.4\), not matching)
- C. \(-63.4 - (-75.4)\) (This is equivalent to \(-63.4 + 75.4\), not matching)
- D. \(-63.4 + 75.4\) (This is not equivalent either)

Therefore, the correct equivalent expression is:

**A. -75.4 - 63.4**.