Adding and Subtracting Rational Numbers

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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

The result is -38.

The result is -20.

The result is -14.

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

The result is -14.

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

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

The sum is -2, since you subtract 3 from 5 and take the sign of -5.