Adding & Subtracting 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 the same denominator?

Back

To add two rational numbers with the same denominator, you add the numerators together and keep the denominator the same.

Front

How do you add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, you first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, you can convert the subtraction into addition by adding the opposite (or additive inverse) of the second number.

Front

What is the additive inverse of a number?

Back

The additive inverse of a number is the value that, when added to the original number, results in zero.

Front

Evaluate: 3 + (-h) + (-4) where h = -7.

Back

6

Front

Evaluate: −3 − (−4) − (−2) + 1.

Back

4

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 simplify the expression 5 + (-2) + (-3)?

Back

Combine the numbers: 5 - 2 - 3 = 0.

Front

What is the first step in solving an expression with multiple operations?

Back

Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).