Which correctly explains how to use place value and the distributive property to find the product of 548 and 5?

Question

Write 548 as 500 + 40 + 8. Multiply each addend by 5. Then add the three products to get 2,740.
Write 548 as 500 + 80 + 4. Multiply each addend by 5. Then add the three products to get 2,920.
Write 548 as 800 + 40 + 5. Multiply each addend by 5. Then add the three products to get 4,225.
Write 548 as 800 + 50 + 4. Multiply each addend by 5. Then add the three products to get 4,270.

Answer 1

To use place value and the distributive property to find the product of 548 and 5, we first need to break down 548 into its place values.

The correct breakdown of 548 is:

• 500 (hundreds)
• 40 (tens)
• 8 (ones)

So, we can write 548 as \(500 + 40 + 8\).

Now, we multiply each addend by 5:

• \(500 \times 5 = 2500\)
• \(40 \times 5 = 200\)
• \(8 \times 5 = 40\)

Next, we add the three products together:

• \(2500 + 200 + 40 = 2740\)

Thus, the correct explanation is: Write 548 as 500 + 40 + 8. Multiply each addend by 5. Then add the three products to get 2,740.