Adding+Integers

Adding Integers **1)** When adding integers with the same sign, we add their absolute values, and use the sign given.

**Examples**:

2 + 5 = 7

(-7) + (-2) = -(7 + 2) = -9

(-80) + (-34) = -(80 + 34) = -114

**2)** When adding integers with opposite signs, use the absolute values, subtract the smaller from the larger, then use the sign of the number with the larger absolute value.

**Example**: 8 + (-3) = ?

The absolute values of 8 and -3 are 8 and 3. Subtracting the smaller from the larger gives 8 - 3 = 5, and since the larger absolute value was 8, we give the result the same sign as 8, so 8 + (-3) = 5.

**Example**: 8 + (-17) = ?

The absolute values of 8 and -17 are 8 and 17. Subtracting the smaller from the larger gives 17 - 8 = 9, and since the larger absolute value was 17, we give the result the same sign as -17, so 8 + (-17) = -9.

**Example**: <span style="font-family: 'Lucida Console',Monaco,monospace; font-size: 150%;">-22 + 11 = ?

<span style="font-family: 'Lucida Console',Monaco,monospace; font-size: 150%;">The absolute values of -22 and 11 are 22 and 11. Subtracting the smaller from the larger gives 22 - 11 = 11, and since the larger absolute value was 22, we give the result the same sign as -22, so -22 + 11 = -11.