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Example Question #1 : Multiplicative Inverse Property
Simplify.
To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!
Solve the multiplication.
Now we need to reduce the fraction to find our final answer.
Example Question #1 : Multiplicative Inverse Property
What is the multiplicative inverse of where
The rule for Multiplicative Inverse Property is where
.
Using this rule, if
,
then is the Mulitplicative inverse, which is
.
After you simplify you get which is the Multiplicative Inverse.
Example Question #1 : Multiplicative Inverse Property
What is the multiplicative inverse of where
?
The rule for Multiplicative Inverse Property is
where .
Using this rule, if
,
then is the mulitplicative inverse, which is
.
After you simplify you get which is the multiplicative inverse.
Example Question #1 : Multiplicative Inverse Property
Which of the following statements demonstrates the inverse property of multiplication?
None of the examples in the other responses demonstrates the inverse property of multiplication.
The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only
demonstrates this property.
Example Question #1 : Multiplicative Inverse Property
Which of the following displays the multiplicative inverse property?
The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is .
The multiplicative inverse property states that a number times its multiplicative inverse equals 1.
Therefore,
displays the multiplicative inverse property.
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