Adding and 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 absolute values and take the sign of the number with the larger absolute value.

Front

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

Back

The result can be positive, negative, or zero, depending on the absolute values of the numbers being added.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction; it is always non-negative.

Front

What is the opposite of a number?

Back

The opposite of a number is the number that is the same distance from zero but in the opposite direction on the number line.

Front

How do you subtract rational numbers?

Back

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

Front

What is the sum of -31 and -7?

Back

The sum of -31 and -7 is -38.

Front

What is the sum of -12 and -8?

Back

The sum of -12 and -8 is -20.

Front

What is the result of -28 + (-8)?

Back

The result of -28 + (-8) is -36.

Front

What does it mean for two numbers to be opposites?

Back

Two numbers are opposites if they are the same distance from zero on the number line but in opposite directions.