Inverse properties

October 31, 2008 bennymath

Additive inverse property – The additive inverse property states that when adding any number and its opposite, the sum is always zero. 

 

Examples:  3 + (-3) = 0                        (-0.5) + 0.5 = 0

 

Applications:  balancing a checkbook, sports such as football and golf, solving equations

 

Multiplicative inverse property – The multiplicative inverse property states that when multiplying any rational number by its reciprocal, the product is always 1.

 

Examples:  (4)(1/4) = 1             (-3 ½)(-2/7) = (-7/2)(-2/7) = 1

 

Applications:  division of fractions, solving equations

 

Squares and square roots – The inverse operation of squaring a number is to find the square root of the number.

 

Examples:  52 = 25,  = 5       102 = 100, = 10

 

Applications:  solving equations, Pythagorean Theorem

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