Chapter 3: Q55. (page 135)

Name the property Illustrated by the equation
$(- \frac{3}{2}) (- \frac{2}{3}) = 1$

Short Answer

Expert verified

The Multiplicative inverse property is used in the expression.

Step by step solution

Step-1 – Apply the concept of Multiplicative inverse property

The Multiplicative inverse of a number say, N is represented by . $\frac{1}{N} or N^{- 1}$

It is also called reciprocal.

The meaning of inverse is something which is opposite. The reciprocal of a number obtained is such that when it is multiplied with the original number the value equals to identity 1.

Step-2 – Example for the Multiplicative inverse

The multiplicative inverse of 3 is . $\frac{1}{3}$

Step-3 – Evaluate the expression

Since, $(- \frac{3}{2}) (- \frac{2}{3}) = 1$ the Multiplicative inverse of $- \frac{3}{2}$ is $- \frac{2}{3}$ which on multiplying the result is one.

Thus, the Multiplicative inverseproperty is used in the expression.

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Name the property Illustrated by the equation
$(- \frac{3}{2}) (- \frac{2}{3}) = 1$

Short Answer

Step by step solution

Step-1 – Apply the concept of Multiplicative inverse property

Step-2 – Example for the Multiplicative inverse

Step-3 – Evaluate the expression

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Name the property Illustrated by the equation(−32)(−23)=1

Short Answer

Step by step solution

Step-1 – Apply the concept of Multiplicative inverse property

Step-2 – Example for the Multiplicative inverse

Step-3 – Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Name the property Illustrated by the equation
$(- \frac{3}{2}) (- \frac{2}{3}) = 1$