Add and Subtract Integers and Rational Numbers

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

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 two negative integers, you add their absolute values and keep the negative sign. For example, -3 + (-2) = -5.

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

To subtract an integer, add its opposite. For example, to calculate 5 - (-3), you can rewrite it as 5 + 3.

The result is $$2\frac{13}{30}$$ .

The result is $$\frac{2}{15}$$ .

Subtracting a negative number is the same as adding its positive counterpart. For example, 5 - (-20) = 5 + 20 = 25.

The result is 4.

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-5| = 5.