Compute 45 × 83.

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Multiple Choice

Compute 45 × 83.

Explanation:
Think of multiplication using the distributive property: you can break one number into parts that are easy to multiply and then add the results. Break 83 into 80 and 3. Then 45 × 83 = 45 × (80 + 3) = (45 × 80) + (45 × 3). Compute: 45 × 80 = 45 × 8 × 10 = 360 × 10 = 3600, and 45 × 3 = 135. Add them: 3600 + 135 = 3735. So the product is 3735. (Using the other breakdowns, such as 83 × (40 + 5) = 3320 + 415, yields the same result.)

Think of multiplication using the distributive property: you can break one number into parts that are easy to multiply and then add the results.

Break 83 into 80 and 3. Then 45 × 83 = 45 × (80 + 3) = (45 × 80) + (45 × 3).

Compute: 45 × 80 = 45 × 8 × 10 = 360 × 10 = 3600, and 45 × 3 = 135.

Add them: 3600 + 135 = 3735.

So the product is 3735. (Using the other breakdowns, such as 83 × (40 + 5) = 3320 + 415, yields the same result.)

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