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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