1.4 Exponents, Order of Operations, Variable Expression and Equations Base 2 3 Exponent/Power Ex. Evaluate (3/4)3 Note. 23 ≠ (2)(3) = 6 Note. 23 = 8 – 23 = – (2)(2)(2) = – 8 – 24 = – (2)(2)(2)(2) = – 8 (– 2)3 = (– 2)(– 2)(– 2) = – 8 (– 2)4 = (– 2) (– 2)(– 2) (– 2) = 8

Order of Operations Parentheses Exponents Division Multiply Add Subtract Note: If there are only adding and subtracting, then simplify from left to right.

Ex. Simplify the expression. 3[4 + 2(10 – 1)] ÷ 2

Translating Phrases to Math Expressions Add Subtract Multiply Divide Equality Inequality Sum Difference Product Quotient Equals At least ≥ Plus Minus Times Gives At most ≤ Added to Subtract from Into Is, was, should be More than Less than Twice Ratio Yields Increase by Decrease by Of Divided by Amount to Total Less Represents, is the same as

Ex. Write each sentence as an equation or inequality. The quotient of 15 and a number is 4. Three subtracted from 12 is a number. Four times a number, added to 17, is not equal to 21. Triple a number is less than 48.

HW 1.4 pg. 33 # 19 – 43 odd, 77 – 83 odd