Question

c. 85 × 12 = ____
d. 82 × 53 = ____

Explanation:

Part c: \( 85 \times 12 \)

Step1: Break down 12 into 10 + 2

We use the distributive property: \( 85 \times (10 + 2) = 85 \times 10 + 85 \times 2 \)

Step2: Calculate each product

\( 85 \times 10 = 850 \) and \( 85 \times 2 = 170 \)

Step3: Add the results

\( 850 + 170 = 1020 \)

Step1: Break down 53 into 50 + 3

Using the distributive property: \( 82 \times (50 + 3) = 82 \times 50 + 82 \times 3 \)

Step2: Calculate each product

\( 82 \times 50 = 4100 \) and \( 82 \times 3 = 246 \)

Step3: Add the results

\( 4100 + 246 = 4346 \)

Answer:

\( 1020 \)

Part d: \( 82 \times 53 \)