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Simplify the expression.

25. 3+j+(- 9)

Short Answer

Expert verified

3+j+(- 9)  =  j  -  6 .

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Commutative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

03

Step-3 – Evaluate the expression

Commutative property of Addition states, if you add two real numbers in any order, the sum will always be the same.

Evaluate the expression:

To evaluate the expression3+j+(- 9), the termlocalid="1647589809672" xis a variable. The terms17and12are constants.

Using the Commutative property of addition, adding like terms,

3+j+(− 9) â¶Ä‰j+(3+− 9) â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰(Make â¶Ä‰a â¶Ä‰group â¶Ä‰with â¶Ä‰constant â¶Ä‰terms â¶Ä‰)j+(− 9+3) â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰(Commutative â¶Ä‰Property â¶Ä‰of â¶Ä‰Addition)j− â¶Ä‰6

3+j+(− 9) â¶Ä‰= â¶Ä‰j â¶Ä‰âˆ’ â¶Ä‰6 

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