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Evaluate the following using properties ...

Evaluate the following using properties for multiplication to simplify the multiplication.
`28 times (-48)`

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The correct Answer is:
To evaluate \( 28 \times (-48) \) using properties of multiplication, we can follow these steps: ### Step 1: Use the Distributive Property We can express \(-48\) as \(-50 + 2\). This allows us to use the distributive property: \[ 28 \times (-48) = 28 \times (-50 + 2) \] ### Step 2: Distribute the Multiplication Now, we apply the distributive property: \[ 28 \times (-48) = 28 \times (-50) + 28 \times 2 \] ### Step 3: Calculate Each Part 1. **Calculate \(28 \times (-50)\)**: \[ 28 \times (-50) = -1400 \] (Since \(28 \times 50 = 1400\), and we have a negative sign.) 2. **Calculate \(28 \times 2\)**: \[ 28 \times 2 = 56 \] ### Step 4: Combine the Results Now, we combine the two results: \[ 28 \times (-48) = -1400 + 56 \] ### Step 5: Perform the Addition Now, we perform the addition: \[ -1400 + 56 = -1344 \] ### Final Answer Thus, the value of \( 28 \times (-48) \) is: \[ \boxed{-1344} \]
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