Adding, Subtracting, Multiplying, & Dividing Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you add two negative rational numbers?

Back

To add two negative rational numbers, you add their absolute values and keep the negative sign. For example, -14 + (-3) = -17.

Front

What is the product of a positive and a negative rational number?

Back

The product of a positive and a negative rational number is negative. For example, \(\frac{2}{5} \times \frac{-1}{2} = \frac{-1}{5} \).

Front

How do you divide a positive rational number by a negative rational number?

Back

When dividing a positive rational number by a negative rational number, the result is negative. For example, \(\left(\frac{1}{4}\right) \div \left(\frac{-3}{5}\right) = \frac{-5}{12} \).

Front

What is the result of adding two negative integers?

Back

The result of adding two negative integers is always negative. For example, -12 + -8 = -20.

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators together and their denominators together. For example, \(\frac{2}{5} \times \frac{-1}{2} = \frac{-1}{5} \).

Front

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

Back

The result of dividing a positive integer by a negative integer is negative. For example, 64 ÷ (-8) = -8.

Front

What is the rule for adding rational numbers with different signs?

Back

When adding rational numbers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value.

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, add the opposite of the number being subtracted. For example, a - b = a + (-b).

Front

How do you simplify the expression \(\frac{a}{b} + \frac{c}{d}\)?

Back

To simplify \(\frac{a}{b} + \frac{c}{d}\), find a common denominator, then add the numerators: \(\frac{ad + bc}{bd}\).