Question

hich expression is equivalent to  2.2−2.52−2.5?? 

A

2.5−2.22.5-2.22.5−2.2 

B

2.2+2.52.2+2.52.2+2.5 

C

2.2+(−2.5)2.2+\left(-2.5\right)2.2+(−2.5) 

D

2.2−(−2.5)2.2-\left(-2.5\right)2.2−(−2.5) 

Answer 1

To determine which expression is equivalent to \( 2.2 - 2.5^2 - 2.5 \), we first need to simplify the original expression.

1. Calculate \( 2.5^2 \):
\[
2.5^2 = 6.25
\]

2. Substitute back into the expression:
\[
2.2 - 6.25 - 2.5
\]

3. Now, combine the values:
- First, combine \( -6.25 - 2.5 \):
\[
-6.25 - 2.5 = -8.75
\]

- Then combine this with \( 2.2 \):
\[
2.2 - 8.75 = -6.55
\]

Now we need to evaluate the choices:

**A**: \( 2.5 - 2.2 \)
This is not equivalent as it simplifies to \( 0.3 \).

**B**: \( 2.2 + 2.5 \)
This also does not match, as it simplifies to \( 4.7 \).

**C**: \( 2.2 + (-2.5) \)
This simplifies to \( 2.2 - 2.5 = -0.3 \), which is not equivalent either.

**D**: \( 2.2 - (-2.5) \)
This simplifies to \( 2.2 + 2.5 = 4.7 \), which does not match.

Now let's reconsider if any simplification has been missed or if an original conclusion is incorrect.

The expression \( 2.2 - 2.5^2 - 2.5 \) accurately leads us to:
\[
2.2 - 6.25 - 2.5 = 2.2 - 8.75 = -6.55
\]

None of the choices (A, B, C, or D) are equivalent to the original expression evaluated to \(-6.55\).

If we consider the evaluations, we find that none of the options provided are the same as the equivalent expression \( 2.2 - 2.5^2 - 2.5 \). Therefore, none of the answers are correct. If the original question expected simplification from one form to another, please clarify or provide further context.