Question
−8+___+c−d
Commutative Property of Addition
Commutative Property of Addition
Answers
Answered by
GPT-4o mini
The Commutative Property of Addition states that the order in which numbers are added does not change the sum. This means if you have a sum like \(-8 + x + c - d\), you can rearrange the terms in any order without changing the overall sum.
For example, according to the Commutative Property, you could rewrite that expression as:
1. \(c + (-8) + x - d\)
2. \(-d + c + (-8) + x\)
3. \(x + (-8) - d + c\)
And so on, as long as you're only adding. The blank in your original expression can be any number or variable that you'll add to \(-8\), \(c\), and subtract \(d\).
Thus, if you want to use the property directly, you can fill in the blank with any value (let's say \(x\) for demonstration) and it can be rearranged as follows:
\(-8 + x +c - d = x - d + c - 8\)
It will still yield the same overall result regardless of how the numbers or variables are ordered.
For example, according to the Commutative Property, you could rewrite that expression as:
1. \(c + (-8) + x - d\)
2. \(-d + c + (-8) + x\)
3. \(x + (-8) - d + c\)
And so on, as long as you're only adding. The blank in your original expression can be any number or variable that you'll add to \(-8\), \(c\), and subtract \(d\).
Thus, if you want to use the property directly, you can fill in the blank with any value (let's say \(x\) for demonstration) and it can be rearranged as follows:
\(-8 + x +c - d = x - d + c - 8\)
It will still yield the same overall result regardless of how the numbers or variables are ordered.