Dividing Rational Numbers

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, \( \frac{4}{5} \div 2 = \frac{4}{5} \times \frac{1}{2} = \frac{4}{10} = \frac{2}{5} \).

Front

What is the sign of the product of two positive numbers?

Back

The product of two positive numbers is always positive.

Front

What is the result of dividing a negative number by a positive number?

Back

A negative number divided by a positive number results in a negative number.

Front

How do you divide a decimal by a negative number?

Back

When dividing a decimal by a negative number, the result will be negative. For example, \( 0.3 \div (-1.5) = -0.2 \).

Front

What is the result of dividing a positive fraction by a negative fraction?

Back

Dividing a positive fraction by a negative fraction results in a negative fraction. For example, \( \frac{1}{5} \div \frac{-2}{5} = \frac{1}{5} \times \frac{-5}{2} = \frac{-1}{2} \).

Front

What is the rule for dividing rational numbers?

Back

To divide rational numbers, multiply the first number by the reciprocal of the second number.

Front

What happens to the sign of the result when dividing two numbers with different signs?

Back

When dividing two numbers with different signs, the result is negative.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of \( \frac{a}{b} \) is \( \frac{b}{a} \).

Front

How do you simplify the division of fractions?

Back

To simplify the division of fractions, multiply by the reciprocal of the divisor. For example, \( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \).

Front

What is the result of dividing zero by a non-zero number?

Back

Dividing zero by any non-zero number results in zero.