# What Is the Multiplicative Inverse Property?

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The multiplicative inverse property states that for every "a" there exists a number such that "a X 1/a = 1." Practice math problems that use the multiplicative inverse property with help from a tutor and teacher in this free video on education and math.

Part of the Video Series: Math & Physics Education
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## Video Transcript

Hi my name is Samir Malik and I am a tutor for middle school and high school students in the Austin area. Today we are going to be discussing the multiplicative inverse property. The definition of the multiplicative inverse property is that for every a there exists a number such that a x 1/a = 1. The 1/a here this is known as either the reciprocal of a or the multiplicative inverse of a. I will give you some examples we can do 7 x 1/7 which would equal 1 and another example would be 15 x 1/15 = 1. So this is going to be true in every sense for a x 1/a will =1. This is the definition of the multiplicative inverse property and a few examples of the multiplicative inverse property.

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