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Adding and Subtracting Integers

Adding and Subtracting Integers. To add integers with the same sign, add their absolute values and then change the sign to the sign of the addends. Positive if both integers are positive Negative if both integers are negative. addend. addend. addend. -8 + (-4) = -12. 8 + 4 = 12.

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Adding and Subtracting Integers

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  1. Adding and Subtracting Integers • To add integers with the same sign, add their absolute values and then change the sign to the sign of the addends. • Positive if both integers are positive • Negative if both integers are negative addend addend addend -8 + (-4) = -12 8 + 4 = 12 addend

  2. Adding and Subtracting Integers • To add integers with different signs, subtract their absolute values. The sum is: • Positive if the positive integer’s absolute value is greater • Negative if the negative integer’s absolute value is greater. 8 + (-4) = 4 -8 + 4 = -4 Additive Inverse Property The sum of any number and its additive inverse or opposite is 0 4 + (-4) = 0

  3. Adding and Subtracting Integers • To subtract an integer, add its opposite. 4 -9 is the same as 4 + (-9) When you subtract 9, it is the same as adding -9 4 -9 = -5 7 – (-10) is the same as 7 + 10. When you subtract - 10 it is the same as adding 10. EX: -22-26 is the same as -22 + (-26) Subtracting a positive 26 is the same as adding a negative 26. So, -22-26 = -48

  4. Multiplying and Dividing Integers The Commutative Property of Multiplication states that you can multiply in any order. So 4 (-3) = -3(4) Multiply/Divide Integers with Different Signs The product/quotient of two integers with different signs is negative. 6(-4) = -24 24/-6 = -4 Multiply/Divide Integers with the Same Sign The product/quotient of two integers with the same sign is positive -9 (-3) = 27 9 (3) = 27 -27/-3 = 9

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