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McGraw Hill Glencoe Algebra 2, 2012 View details

3. Solving Equations

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Exercise 82 Page 25

The sum of a number and its additive inverse is 0.

9x-4

Practice makes perfect

The sum of a number and its additive inverse is 0. We can find the additive inverse by changing the sign of the given number. a + ( - a)=0We can follow this line of thinking with the given number. 4-9x + ( -(4-9x))=0 We can simplify the additive inverse by distributing minus sign.

-(4-9x)

Distr

Distribute (-1)

4(-1)-9x(-1)

MultPosNeg

a(- b)=- a * b

-4-9x(-1)

MultNegNegOnePar

- a(- b)=a* b

-4+9x

CommutativePropMult

Commutative Property of Multiplication