112 Chapter 1 The Set of Real Numbers Exponents, Square Roots, and the Order of Operations bn b b b b . . . b 53 5 5 5 125 149 7 10 513 122 15 1 10 51222 14 10 5142 2 10 20 2 30 2 Section 1.3 Addition of Real Numbers Key Concepts Addition of Two Real Numbers Same Signs Add the absolute values of the numbers and apply the common sign to the sum. Different Signs Subtract the smaller absolute value from the larger absolute value. Then apply the sign of the number having the larger absolute value. Examples Example 1 3 142 7 1.3 19.12 10.4 Example 2 2 3 a 7 3b 5 3 5 7 2 Section 1.2 Key Concepts b is the base, n factors of b n is the exponent is the positive square root of x. The Order of Operations 1. Simplify expressions within parentheses and other grouping symbols first. 2. Evaluate expressions involving exponents, radicals, and absolute values. 3. Perform multiplication or division in the order that they occur from left to right. 4. Perform addition or subtraction in the order that they occur from left to right. 1x Examples Example 1 Example 2 Example 3 28 ⎫⎪⎪⎪⎬⎪⎪⎪⎭ Work within grouping symbols. Simplify exponents and radicals. Perform multiplication. Add and subtract, left to right.
miller_introductory_algebra_3e_ch1_3
To see the actual publication please follow the link above