Use the distributive property to solve and explain all of the steps: -2.5(1-2n)-1.5n. I think the answer might be -2.5- -6.5n. Even if this is correct I don’t know how to explain it. Plz help!
BUT -2.5 * -2n = + 5 n !!!!!!
-2.5 + 5 n - 1.5 n
is
-2.5 + 3.5 n
Also, thx Damon I understand it now!!!
To solve the expression -2.5(1-2n) - 1.5n using the distributive property, we need to multiply each term inside the parentheses by -2.5.
Step 1: Distribute -2.5 to (1 - 2n):
-2.5 * 1 = -2.5
-2.5 * (-2n) = 5n
After distributing, the expression becomes: -2.5 + 5n - 1.5n
Step 2: Combine like terms:
Combine the terms involving 'n' together:
5n - 1.5n = (5 - 1.5)n = 3.5n
The simplified expression becomes: -2.5 + 3.5n
So, the correct answer is -2.5 + 3.5n.
To solve the expression -2.5(1-2n)-1.5n using the distributive property, we need to distribute the -2.5 to both terms inside the parentheses (1 and -2n).
First, let's distribute -2.5:
-2.5 * 1 = -2.5
-2.5 * -2n = 5n
Now we have: -2.5 + 5n - 1.5n
Next, let's combine the like terms:
5n - 1.5n = 3.5n
Now our expression becomes: -2.5 + 3.5n
In conclusion, the correct answer is -2.5 + 3.5n.
To explain it more thoroughly:
The distributive property states that when we have a number (in this case -2.5) multiplied by the sum or difference of two terms (in this case 1-2n), we need to multiply the number (-2.5) by each of the terms inside the parentheses.
So, by distributing -2.5 to 1 and -2n, we get -2.5 * 1 = -2.5, and -2.5 * -2n = 5n.
Then, we combine the like terms in the expression, which are 5n and -1.5n. By subtracting 1.5n from 5n, we get 3.5n.
Therefore, the final answer after combining the like terms is -2.5 + 3.5n.