Use the properties of operations to subtract (p−3)−(2.4+2p).(1 point)
Responses
To subtract (p-3)-(2.4+2p), follow these steps:
1. Apply the distributive property to the expression inside the second parentheses: 2.4 + 2p. This means you need to multiply each term inside the parentheses by -1.
The expression becomes -(2.4) + (-2p).
2. Rewrite the original expression again:
(p - 3) - (2.4 + 2p)
3. Remove the second set of parentheses by distributing the negative sign inside:
p - 3 - 2.4 - 2p
4. Combine like terms:
(p - 2p) + (-3 - 2.4)
5. Simplify:
-p - 5.4
Therefore, the final answer to the expression (p-3)-(2.4+2p) is -p - 5.4.
To subtract (p−3)−(2.4+2p), you can distribute the negative sign to the terms inside the second parentheses first. This is called the distributive property.
Let's break down the expression step by step:
1. Distribute the negative sign:
(p−3)−(2.4+2p) = p - 3 - 2.4 - 2p
2. Combine like terms:
Since p and 2p are like terms, and -3 and -2.4 are constants, we can combine them:
(p - 2p) + (-3 - 2.4) = -p - 5.4
So, the simplified expression is -p - 5.4.
To subtract (p−3)−(2.4+2p), we can use the distributive property and the property of combining like terms.
First, distribute the negative sign to each term inside the parentheses:
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p.
Next, combine like terms by combining the p terms and the constant terms separately:
(p - 2p) + (-3 - 2.4) = -p - 5.4.
Therefore, (p−3)−(2.4+2p) simplifies to -p - 5.4.