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Evaluate the expression. Identify the property used in each step.

3/4+(-3/8)+(-1/4)=-3/8+3/4+(-1/4)
=-3/8+[3/4+(-1/4)]
=

Evaluate the expression. Identify the property used in each step. 3/4+(-3/8)+(-1/4)=-3/8+3/4+(-1/4) =-3/8+[3/4+(-1/4)] =-example-1
User MwamiTovi
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1 Answer

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Final answer:

The expression 3/4+(-3/8)+(-1/4) simplifies to 1/8 using the Associative Property of addition and properties of addition involving the additive inverse. The expression is regrouped and fractions are added by finding a common denominator.

Step-by-step explanation:

The student is asking to evaluate the expression 3/4+(-3/8)+(-1/4) and identify the properties used in each step. To solve this, we can use the Associative Property of addition, which allows us to regroup the numbers as -3/8+[3/4+(-1/4)]. This property states that the way in which numbers are grouped does not change their sum.

Continuing from where the student left off:

  • -3/8 remains unchanged.
  • For [3/4+(-1/4)], we are adding a number and its additive inverse, so this simplifies to 1/2.
  • Therefore, the expression simplifies further to -3/8 + 1/2.
  • To add these fractions, we need a common denominator, so we convert 1/2 to 4/8.
  • Now we have -3/8 + 4/8, which simplifies to 1/8.

Thus, the final simplified form of the expression is 1/8, and we've used the associative property and properties of addition involving the additive inverse.

User Charles Sprayberry
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