Question

Which expression is equivalent to 8 + 4 3 under 8 + 4 • 2 + 3

Answer 1

To evaluate the expression \(8 + 4 \, 3\) under the context of \(8 + 4 \cdot 2 + 3\), we first need to clarify what is meant by \(4 \, 3\). Assuming it indicates multiplication, we'll rewrite \(4 \, 3\) as \(4 \cdot 3\).

Now, let's examine the right side:

1. **Calculate \(4 \cdot 2\)**:
\[4 \cdot 2 = 8\]

2. **Now substitute back into the expression**:
\[8 + 8 + 3\]

3. **Add the terms together**:
\[8 + 8 = 16\]
\[16 + 3 = 19\]

Thus, the equivalent expression based on the interpretation of \(8 + 4 \cdot 3\) is:
\[8 + (4 \cdot 3) = 8 + 12 = 20\]

If you meant to set \(8 + 4 \cdot 2 + 3\) equal to \(8 + 4 \cdot 3\), we have:

- Left side: \(8 + 4 \cdot 2 + 3 = 19\)
- Right side: \(8 + 4 \cdot 3 = 20\)

Therefore, the two expressions are not equivalent, but if you need a single expression with \(4 \, 3\) interpreted purely as \(4 + 3\) instead of multiplication, then:

1. **Evaluate as addition: \(8 + 4 + 3 = 15\)**.

This result will vary based on your definition of \(4 \, 3\). If you want the comparison or transformation between \(8 + 4 \cdot 2 + 3\) and something else, please clarify further!