Question

Which expression has the same value as the one below?

8 + left-bracket 4 + (negative 9) right-bracket
12 + (negative 9)
Negative 12 + 9
Negative 4 + (negative 9)
4 + (negative 9)

Answer 1

Let's break down the expression you've provided:

\( 8 + \left[ 4 + (-9) \right] \).

First, simplify the expression inside the brackets:

1. Calculate \( 4 + (-9) \):
\[
4 - 9 = -5
\]

Now, substitute this back into the original expression:

\( 8 + (-5) = 8 - 5 = 3 \).

Now, let's evaluate the options given to see which one also equals 3.

1. \( 12 + (-9) \):
\[
12 - 9 = 3
\]

2. \( -12 + 9 \):
\[
-12 + 9 = -3
\]

3. \( -4 + (-9) \):
\[
-4 - 9 = -13
\]

4. \( 4 + (-9) \):
\[
4 - 9 = -5
\]

The only expression that has the same value as the original expression (3) is:

**12 + (-9)**.