+/Integers-* By: Brock and Brandon.

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Presentation transcript:

+/Integers-* By: Brock and Brandon

Adding Integers 1) When adding integers of the same sign, we add their absolute values, and give the result the same sign. Examples: 2 + 5 = 7 (-7) + (-2) = -(7 + 2) = -9 (-80) + (-34) = -(80 + 34) = -114 Subtracting Integers Subtracting an integer is the same as adding its opposite. Examples: In the following examples, we convert the subtracted integer to its opposite, and add the two integers. 7 - 4 = 7 + (-4) = 3 12 - (-5) = 12 + (5) = 17 -8 - 7 = -8 + (-7) = -15 -22 - (-40) = -22 + (40) = 18

Multiplying Integers To multiply a pair of integers if both numbers have the same sign, their product is the product of their absolute values (their product is positive). If the numbers have opposite signs, their product is the opposite of the product of their absolute values (their product is negative). If one or both of the integers is 0, the product is 0. Examples: In the product below, both numbers are positive, so we just take their product. 4 × 3 = 12 In the product below, both numbers are negative, so we take the product of their absolute values. (-4) × (-5) = |-4| × |-5| = 4 × 5 = 20 Dividing Integers To divide a pair of integers if both integers have the same sign, divide the absolute value of the first integer by the absolute value of the second integer. To divide a pair of integers if both integers have different signs, divide the absolute value of the first integer by the absolute value of the second integer, and give this result a negative sign. Examples: In the division below, both numbers are positive, so we just divide as usual. 4 ÷ 2 = 2. In the division below, both numbers are negative, so we divide the absolute value of the first by the absolute value of the second. (-24) ÷ (-3) = |-24| ÷ |-3| = 24 ÷ 3 = 8.