Four expressions are shown below.

Question

Expression A: -1.50+2.75
Expression B: -1.50 -2.75
Expression C: -1.50+(-2.75)
Expression D: -1.50-(-2.75)
Which pairs of expressions have the same value? Select TWO that apply

Answer 1

To determine which pairs of expressions have the same value, let's evaluate each expression one by one.

Expression A: -1.50 + 2.75 \[ -1.50 + 2.75 = 1.25 \]

Expression B: -1.50 - 2.75 \[ -1.50 - 2.75 = -4.25 \]

Expression C: -1.50 + (-2.75) \[ -1.50 + (-2.75) = -1.50 - 2.75 = -4.25 \]

Expression D: -1.50 - (-2.75) \[ -1.50 - (-2.75) = -1.50 + 2.75 = 1.25 \]

Now, let's summarize the values:

• Expression A: 1.25
• Expression B: -4.25
• Expression C: -4.25
• Expression D: 1.25

From this, we can see that:

• Expression A (1.25) and Expression D (1.25) have the same value.
• Expression B (-4.25) and Expression C (-4.25) have the same value.

Thus, the pairs of expressions that have the same value are:

1. Expression A and Expression D
2. Expression B and Expression C

So the two sets of expressions that have the same value are:

• (A, D)
• (B, C)