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Math Notes An integer is a whole number and its opposite Ex. 3 12 1,000 0 -3 -12 -1,000 Zero A whole number is a number from 1 on ZERO is not a whole number 1 and itself can divide a prime number. 1 2 3 5 7 11 … 13 Rational numbers are fractions and decimals. They can be positive or negative ½ 3 -15/6 Multiplying and Dividing Integers and Rational Numbers same signs, the product or the quotient is positive Ex. 2 x 2 = 4 -2 x -2 = 4 9 / 3 = 3 -9 / -3 = 3 Different signs , the product or quotient is negative Ex. 2 x -2 = -4 -5 x 3 = -15 18 / -6 = -3 -9 / 3 = -3 Addition Same sign: add and keep same sign Ex. 3+ 3= 6 -3+ - 3 = -6 Different sign: subtract, keep the sign of the highest number Ex. 3 + - 4 = - 1 - 6 + 121 = 115 -3+4= 1 6 + - 121 = - 115 Subtraction “Squish and add” 5–8 = -3 5+-8= -3 - 6 – 4 = - 10 -6 + -4 = -10 - 1 + 3 – 2 – 3 = -3 -1+ 3 + -2 +-3 = -3 3 - -4 = 3 ++4= 7