Summary 77 Exponents, Algebraic Expressions, and the Order of Operations Key Concepts A number raised to an exponent represents repeated multiplication. For 63, 6 is the base and 3 is the exponent or power. The square root of 16 is 4 because That is, 216 4. 42 16. Order of Operations 1. First perform all operations inside parentheses or other grouping symbols. 2. Simplify any expressions containing exponents or square roots. 3. Perform multiplication or division in the order that they appear from left to right. 4. Perform addition or subtraction in the order that they appear from left to right. Powers of 10 101 10 102 100 103 1000 and so on. Variables are used to represent quantities that are subject to change. Quantities that do not change are called constants. Variables and constants are used to build algebraic expressions. Examples Example 1 94 9 9 9 9 6561 Example 2 249 7 Example 3 32 116 19 622 32 116 1322 32 4 9 8 9 17 Example 4 1 followed by 5 zeros Example 5 Evaluate the expression for and . 3x y2 31 2 1 22 31102 1522 31102 25 30 25 55 3x y2 x 10 y 5 105 100,000 Section 1.7
miller_prealgebra_2e_ch1_3
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