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

Answer:

$9\times 475 = 4275$

Step-by-step explanation:

Distributive property of multiplication over addition:

$a\times (b+c) = (a\times b) + (a\times c)$

Now, we have to evaluate:

$9\times 475$

First we expand 475.

$475 = 400 + 70 + 5$

Now, we need to multiply this by 9.

$9\times (400 + 70 + 5)\\= (9\times 400) + (9\times 70) + (9\times 5) \\= 3600 + 630 + 45\\=4275$

Hence,

$9\times 475 = 4275$