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# 2.10: Division of Rational Numbers

Difficulty Level: Basic Created by: CK-12
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Practice Division of Rational Numbers

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### Vocabulary Language: English Spanish

Inverse Property of Multiplication

For every nonzero number $a$, there is a multiplicative inverse $\frac{1}{a}$ such that $a \left ( \frac{1}{a} \right ) = 1$. This means that the multiplicative inverse of $a$ is $\frac{1}{a}$.

reciprocal

The reciprocal of a number is the number you can multiply it by to get one. The reciprocal of 2 is 1/2. It is also called the multiplicative inverse, or just inverse.

Dividend

In a division problem, the dividend is the number or expression that is being divided.

divisor

In a division problem, the divisor is the number or expression that is being divided into the dividend. For example: In the expression $152 \div 6$, 6 is the divisor and 152 is the dividend.

identity element

An identity element is a value which, when combined with an operation on another number, leaves that other number unchanged. The identity element for addition is zero, the identity element for multiplication is one.

Multiplicative Inverse

The multiplicative inverse of a number is the reciprocal of the number. The product of a real number and its multiplicative inverse will always be equal to 1 (which is the multiplicative identity for real numbers).

Quotient

The quotient is the result after two amounts have been divided.

Real Number

A real number is a number that can be plotted on a number line. Real numbers include all rational and irrational numbers.

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