1 5 ADDING AND SUBTRACTING REAL NUMBERS I

1. 5 ADDING AND SUBTRACTING REAL NUMBERS I can find the sums and differences of real numbers.

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

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

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

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

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

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)

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)

FRACTIONS •

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?

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

1. 6 MULTIPLYING AND DIVIDING REAL NUMBERS I can find products and quotients of real numbers.

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

SQUARE ROOTS •

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

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

INVERSE PROPERTY OF MULTIPLICATION •

RECIPROCAL •

DIVIDING FRACTIONS •

ASSIGNMENT • Worksheet