Write an expression that shows how to multiply 7 x 256 using expanded form and the distributive property
Answer:
\(7\times 200+7\times 50+7\times 6\)
Step-by-step explanation:
We are asked to write an expression that shows the multiplication of \(7\times 256\) using expanded form and the distributive property.
First of all, we will write 256 in expanded form as:
\(256=200+50+6\)
Now, we will multiply 7 by \((200+50+6)\) as:
\(7\times (200+50+6)\)
\(7\times 200+7\times 50+7\times 6\)
Therefore, our required expression would be \(7\times 200+7\times 50+7\times 6\).