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 different signs?

Back

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

Front

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

Back

The result depends on the absolute values of the numbers. If the positive number's absolute value is greater, the result is positive; if the negative number's absolute value is greater, the result is negative.

Front

Evaluate: 3 + (-5)

Back

-2

Front

Evaluate: -7 + 4

Back

-3

Front

What is the rule for subtracting rational numbers?

Back

To subtract a rational number, add its opposite. For example, a - b is the same as a + (-b).

Front

Evaluate: -2 - (-3)

Back

1

Front

Evaluate: 5 - 8

Back

-3

Front

What does it mean to find an equivalent expression?

Back

Finding an equivalent expression means rewriting an expression in a different form that has the same value.

Front

Find an equivalent expression for: -6 - (-2)

Back

-6 + 2 = -4