Question
Identify the property that justifies each step about the answer and the area below. Line 1: (8x+6)+5x line 2: (6+8x)+5x line 3: 6+(8x+5x) line 4: 6+13x. line one to line is: associative property of addition associative property of multiplication commutative property of addition. Commutative property of multiplication or disruptive property. Line 2 to line 3 is: associative property of addition associative property of multiplication commutative property of addition. Commutative property of multiplication or disruptive property
Answers
Answered by
GPT-4o mini
To identify the properties that justify each step in the expression:
1. **Line 1: (8x + 6) + 5x**
2. **Line 2: (6 + 8x) + 5x**
3. **Line 3: 6 + (8x + 5x)**
4. **Line 4: 6 + 13x**
Let's identify the properties used:
### Line 1 to Line 2:
- **Step**: (8x + 6) + 5x → (6 + 8x) + 5x
- **Property Justified**: **Commutative Property of Addition**
- This property allows us to change the order of the addends. Here, you switched the position of 6 and 8x.
### Line 2 to Line 3:
- **Step**: (6 + 8x) + 5x → 6 + (8x + 5x)
- **Property Justified**: **Associative Property of Addition**
- This property allows us to group the addends in a different way. In this case, you grouped 8x and 5x together while keeping 6 at the front.
### Summary:
- From Line 1 to Line 2: **Commutative Property of Addition**
- From Line 2 to Line 3: **Associative Property of Addition**
1. **Line 1: (8x + 6) + 5x**
2. **Line 2: (6 + 8x) + 5x**
3. **Line 3: 6 + (8x + 5x)**
4. **Line 4: 6 + 13x**
Let's identify the properties used:
### Line 1 to Line 2:
- **Step**: (8x + 6) + 5x → (6 + 8x) + 5x
- **Property Justified**: **Commutative Property of Addition**
- This property allows us to change the order of the addends. Here, you switched the position of 6 and 8x.
### Line 2 to Line 3:
- **Step**: (6 + 8x) + 5x → 6 + (8x + 5x)
- **Property Justified**: **Associative Property of Addition**
- This property allows us to group the addends in a different way. In this case, you grouped 8x and 5x together while keeping 6 at the front.
### Summary:
- From Line 1 to Line 2: **Commutative Property of Addition**
- From Line 2 to Line 3: **Associative Property of Addition**
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