<p> ADDING and SUBTRACTING INTEGERS</p><p>INTEGER – all positive and negative whole numbers</p><p>ABSOLUTE VALUE – the distance a number is away from zero. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive</p><p>ADDITION:</p><p>There are certain rules to remember when adding integers.</p><p> When adding positive integers, the sum will be positive. (This is the same addition you have always done.) (+5) + (+5) = +10</p><p> When adding two negative integers, just add the two integers, and the sum will be negative.</p><p>(-8) + (-16) = -24</p><p> When adding integers with different signs (one positive and one negative), follow these steps:</p><p>1. Subtract the number with smallest absolute value from the number with largest absolute value,</p><p>2. The answer gets the sign of the integer with the largest absolute value.</p><p>For example, (+5) + (-10) = I would subtract, 10 – 5 = 5. 10 has a larger absolute value so the answer would be -5. Therefore (+5) + (-10) = -5</p><p>In review:</p><p> Positive + positive means add the numbers, your answer is positive</p><p> Negative + negative means add the numbers, your answer is negative</p><p> Positive + negative means subtract the numbers, your answer will have the sign of the largest number</p><p>SUBTRACTION:</p><p>You DO NOT have to learn a new set of rules for Subtracting Integers;</p><p>1. Change all subtraction problems to addition and apply addition rules.</p><p>2. Change the sign second number (number being subtracted) to the opposite</p><p>- If second number is positive, it becomes negative</p><p>- If second number is negative, it becomes positive</p><p>For example, 8 – (-2), change the minus to addition and -2 becomes +2, so 8 + 2 = 10. -3 – (+7) -2 – (-10) 5 - 7</p><p>-3 + (-7) = -10 -2 + 10 = 8 5 + (-7) = -2</p>