1 6 Exponents and the Order of Operations
- Slides: 6
§ 1. 6 Exponents and the Order of Operations © 2010 Pearson Prentice Hall. All rights reserved
Exponents An exponent is a “shorthand” number that saves writing the multiplication of the same numbers. 34 exponent base This is read “three to the fourth power. ” Tobey & Slater, Basic College Mathematics, 6 e 2
Exponents Example: Find the value of each expression. 1. 34 = 3 3 = 81 2. 53 = 5 5 5 = 125 3. 35 = 3 3 3 = 243 4. 122 = 12 = 144 5. 74 = 7 7 = 2401 Tobey & Slater, Basic College Mathematics, 6 e 3
Powers of 10 Large numbers are often expressed as a power of 10. 105 = 100, 000 104 = 10, 000 103 = 1, 000 102 = 100 101 = 10 100 = 1 Five zeros For any whole number a other than zero, a 0 = 1. Tobey & Slater, Basic College Mathematics, 6 e 4
Order of Operations Do first Do last 1. 2. 3. 4. Perform operations inside any parentheses. Simplify any expressions with exponents. Multiply or divide from left to right. Add or subtract from left to right. Example: Evaluate 24 ÷ 2 – 4 2 = 12 – 8 =4 Tobey & Slater, Basic College Mathematics, 6 e 5
Order of Operations Example: Evaluate the expression 4 + (42 – 13)4 – 3 = 4 + (16 – 13)4 – 3 Evaluate the exponent inside the parentheses. = 4 + (3)4 – 3 Work inside the parentheses. = 4 + 81 – 3 Evaluate the exponent. = 85 – 3 Add. = 82 Subtract. Tobey & Slater, Basic College Mathematics, 6 e 6
