Operations with 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 rational numbers with different denominators?

Back

To add two rational numbers with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

What is the result of adding a positive and a negative rational number?

Back

The result depends on the absolute values of the numbers; if the positive number is larger, the result is positive, and if the negative number is larger, the result is negative.

Front

How do you subtract rational numbers?

Back

To subtract rational numbers, you can add the opposite of the number being subtracted.

Front

What is the rule for multiplying two rational numbers?

Back

To multiply two rational numbers, multiply their numerators and multiply their denominators.

Front

What is the rule for dividing rational numbers?

Back

To divide by a rational number, multiply by its reciprocal.

Front

Solve: 2 ⅜ ÷ -1 ¾

Back

-1 5/14

Front

Solve: 6(-3) - 2

Back

-20

Front

Solve: -5.7 + 0.9

Back

-4.8

Front

Solve: 3 + -7

Back

-4