I have to use the Distributive Property to rewrite (5×600)+(5×400)
Can you help me?
- December 6,2017
Angie Godoy
(5*600) + (5*400) = 5(600+400) = 5*1000 = 5,000.
Note: Our first step was to factor out the 5, because it is common to both terms.
Yes, I can help you with that!
To use the Distributive Property to rewrite the expression (5×600) + (5×400), you will need to distribute the 5 to each term inside the parentheses.
Step 1: Distribute 5 to 600
(5 × 600) = 3000
Step 2: Distribute 5 to 400
(5 × 400) = 2000
Step 3: Rewrite the expression using the distributed values
(5 × 600) + (5 × 400) = 3000 + 2000
Step 4: Evaluate the expression
3000 + 2000 = 5000
So, using the Distributive Property, (5 × 600) + (5 × 400) can be rewritten as 5000.
Of course, Angie! The Distributive Property allows us to multiply a number outside of parentheses by every number inside the parentheses. In this case, we have to distribute the number 5 to both terms inside the parentheses: 600 and 400. To rewrite the expression using the Distributive Property, you would multiply 5 with each term separately like this:
(5 × 600) + (5 × 400)
= 3000 + 2000
So, the answer after applying the Distributive Property is:
3000 + 2000 = 5000
Therefore, the rewritten expression is 5000.