Which expression is equivalent to

Question

A
2.2−(−2.5)2.2-\left(-2.5\right)2.2−(−2.5)
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
2.5−2.22.5-2.22.5−2.2

Answer 1

To determine which expression is equivalent to \( 2.2 - (-2.5) \), let's simplify the expression.

Starting with \( 2.2 - (-2.5) \):

1. The double negative can be rewritten as addition: \[ 2.2 - (-2.5) = 2.2 + 2.5 \]

Now, we can see which option matches this result:

• A: \( 2.2 - (-2.5) \) (This matches our simplified expression).
• B: \( 2.2 + 2.5 \) (This is also our simplified expression).
• C: \( 2.2 + (-2.5) \) (This does not match; it equals \( 2.2 - 2.5 \)).
• D: \( 2.5 - 2.2 \) (This does not match and equals \( 0.3 \)).

The expressions equivalent to \( 2.2 - (-2.5) \) are options A and B.

So the correct answer is A and B.

For clarity, if only one option needs to be selected as equivalent, then B \( (2.2 + 2.5) \) is the most straightforward expression in addition form.