write an expression that shows how you can multiply 9 x 475 using expanded form and the distributive property
9(400 + 70 + 5). Distribute the nine to all the numbers in parentheses. 3600 + 630 + 45 = 4,275. 9 * 475 =4,275
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,
\(9\times 475 = 4275\)