Question

write an expression that shows how you can multiply 9 x 475 using expanded form and the distributive property

Answer 1

9(400 + 70 + 5). Distribute the nine to all the numbers in parentheses. 3600 + 630 + 45 = 4,275. 9 * 475 =4,275

Answer 2

`9* 475 = 4275`

Explanation:

Distributive property of multiplication over addition:

`a* (b+c) = (a* b) + (a* c)`

Now, we have to evaluate:

`9* 475`

First we expand 475.

`475 = 400 + 70 + 5`

Now, we need to multiply this by 9.

`9* (400 + 70 + 5)\\= (9* 400) + (9* 70) + (9* 5) \\= 3600 + 630 + 45\\=4275`

Hence,

`9* 475 = 4275`