Pregunta
One of the steps Neesha used to correctly solve an equation is shown below:
Line
Line
Which set of statements describes the procedure Neesha used to go from line 1
to line 2 and identifies the property that justifies that procedure?
O Neesha changed the order of the 18 and
This procedure is justified by the associative property of addition.
O Neesha changed the order of the 18 and
This procedure is justified by the commutative property of addition.
O Neesha added -18 to both sides of the equation.
This procedure is justified by the additive inverse property.
O Neesha added -18 to both sides of the equation.
This procedure is justified by the additive inverse property of equality.
| One of the steps Neesha used to correctly solve an equation is shown below: |
| Line
|
| Line
|
| Which set of statements describes the procedure Neesha used to go from line 1 |
| to line 2 and identifies the property that justifies that procedure? |
| O Neesha changed the order of the 18 and
|
| This procedure is justified by the associative property of addition. |
| O Neesha changed the order of the 18 and
|
| This procedure is justified by the commutative property of addition. |
| O Neesha added -18 to both sides of the equation. |
| This procedure is justified by the additive inverse property. |
| O Neesha added -18 to both sides of the equation. |
| This procedure is justified by the additive inverse property of equality. |
Ask by Weber Jimenez. in the United States
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Neesha rearranged the order of 18 and
Solución
The correct procedure Neesha used can be identified by analyzing the transition from Line 1 to Line 2:
- Line 1:
- Line 2:
Explanation:
-
Changing the Order: Neesha rearranged the terms
and in the equation. Specifically, she changed to . -
Justifying the Procedure: This rearrangement is justified by the commutative property of addition, which states that the order in which two numbers are added does not change the sum. Mathematically,
.
Incorrect Options:
-
Associative Property: This property deals with the grouping of numbers being added or multiplied, not the order. Since Neesha changed the order, not the grouping, the associative property does not apply here.
-
Adding -18 to Both Sides: This step is not reflected in the transition from Line 1 to Line 2. Neesha did not perform this operation in the given step.
Conclusion:
Option 2 accurately describes Neesha’s procedure and correctly identifies the commutative property of addition as the justification.
Answer:
• Neesha changed the order of the 18 and
This procedure is justified by the commutative property of addition.
This procedure is justified by the commutative property of addition.
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Simplifique esta solución Extra Insights
When Neesha moved from line 1 to line 2, she didn’t fundamentally change the equation; she simply rearranged the terms on one side. By shifting 18 ahead of
Now, let’s talk about the math magic Neesha worked with those equations! While it may seem like swapping numbers is just a neat trick, it’s essential to remember that if you were actually adding or subtracting to “solve” an equation, you need to ensure that both sides remain balanced. Mistaking this will certainly lead to some head-scratching results. So always double-check that you’re following the rules of equality when you’re making those switches!
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