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 the same sign?

Back

When adding two rational numbers with the same sign, add their absolute values and keep the common sign.

Front

How do you subtract a rational number from another?

Back

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

Front

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

Back

If the rational numbers have different signs, subtract the absolute values and keep the sign of the number with the largest absolute value.

Front

Calculate: -275.78 + 539.20

Back

$263.42

Front

Calculate: -2.61 + (-6.88)

Back

-9.49

Front

If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder, what is the temperature in Moscow?

Back

-13 degrees

Front

Calculate: ⅞ - (-⅝)

Back

1 4/8

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 happens when you add a positive rational number to a negative rational number?

Back

When you add a positive rational number to a negative rational number, you subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.