Jay used the Distributive Property to find 402×6

Question

. His work is shown.

402×6=(400+6)+(2+6) =406+8 =414

Is Jay's work correct? If so, explain why. If not, use the Distributive Property to find the answer.

put it as a 4th grader

Answer 1

Jay's work is not correct, but he tried to use the Distributive Property. Let's break it down!

The Distributive Property says that when you have a number multiplying a sum, you can distribute that number to each part of the sum.

For \( 402 \times 6 \), we can break down \( 402 \) into \( 400 + 2 \) (not \( 400 + 6 + 2 + 6 \), which is what Jay wrote):

So we do it like this:

1. Break it down:
   \( 402 = 400 + 2 \)

2. Use the Distributive Property:
   \( 402 \times 6 = (400 + 2) \times 6 \)
   This means we can do it like this:
   \( 400 \times 6 + 2 \times 6 \)

3. Calculate each part:

   • \( 400 \times 6 = 2400 \)
   • \( 2 \times 6 = 12 \)

4. Add them together:
   \( 2400 + 12 = 2412 \)

So, the correct answer for \( 402 \times 6 \) is \( 2412 \).

Now you can see how the Distributive Property really works! Great job trying, Jay!