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1.5 ADDING AND SUBTRACTING REAL NUMBERS I can find the sums and differences of real numbers.

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YOU CAN ADD OR SUBTRACT USING A NUMBER LINE 3+5

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YOU CAN ADD OR SUBTRACT USING A NUMBER LINE 3+(-5)

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YOU CAN ADD OR SUBTRACT USING A NUMBER LINE -3+5

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YOU CAN ADD OR SUBTRACT USING A NUMBER LINE -3+(-5)

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ABSOLUTE VALUE The distance between a number and 0 on the number line.

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SAME SIGNS ADD (SSA) To add two numbers with the same sign, add their absolute value. The sum has the same sign as the addends. Examples: 3+4 -3 + (-4)

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DIFFERENT SIGNS SUBTRACT (DSS) To add two numbers with different signs, subtract the absolute values. The sum has the same sign as the addend with the greater absolute value. Examples: -3 + 4 3 + (-4)

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FRACTIONS

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INVERSE PROPERTY OF ADDITION Two number the same distance from 0 on a number line are called opposites (ex: 3 and -3) A number and its opposite are called additive inverses The inverse property of addition says: For every real number a, there is an additive inverse –a such that a + (-a) = 0 Examples?

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SUBTRACTING REAL NUMBERS To subtract a real number, add the opposite a – b = a + (-b) 3 – 5 3 – (-5)

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1.6 MULTIPLYING AND DIVIDING REAL NUMBERS I can find products and quotients of real numbers.

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MULTIPLYING REAL NUMBERS The product of two real numbers with different signs is negative. 2(-3) -23 The product of two real numbers with the same sign is positive. 23 -2(-3)

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SQUARE ROOTS

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DIVIDING REAL NUMBERS The quotient of two real numbers with different signs is negative The quotient of two real numbers with the same sign is positive

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DIVISION INVOLVING ZERO The quotient of 0 and any nonzero real number is 0 0÷8 = 0 The quotient of any real number and zero is undefined 8÷0 = undefined 0÷0 = undefined

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INVERSE PROPERTY OF MULTIPLICATION

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RECIPROCAL

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DIVIDING FRACTIONS

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ASSIGNMENT Worksheet

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