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Use additive inverses and properties to find the equivalent expressions.

3+(-5), 5+(-3), -5+3, and -3+5
3-5 5-3

1 answer

To find the equivalent expressions for the sums, we can use the concept of additive inverses and the properties of addition. Here's how we can express each of the expressions you provided:

  1. 3+(−5):

    • This is equivalent to 3−5.
    • So, we have: 3+(−5)=3−5=−2.

  2. 5+(−3):

    • This is equivalent to 5−3.
    • So, we have: 5+(−3)=5−3=2.

  3. −5+3:

    • This can be written as 3+(−5) or −5+3=−(5−3)=−(2)=−2.
    • So, we can also express it as −5+3=−(5−3)=−2.

  4. −3+5:

    • This can be expressed as 5+(−3) or −3+5=5−3=2.
    • Therefore, −3+5=2.

Summary of Equivalent Expressions:

  • 3+(−5)=3−5=−2
  • 5+(−3)=5−3=2
  • −5+3=−2 (also equal to 3+(−5))
  • −3+5=2 (also equal to 5+(−3))

The sums 3−5 and 5−3 yield results:

  • 3−5=−2
  • 5−3=2

Thus, the equivalents can be summarized in terms of the expressions mentioned above.