124 Chapter 2 Integers and Algebraic Expressions Section 2.3 Subtraction of Integers Key Concepts Subtraction of Signed Numbers For two numbers a and b, a b a 1b2 To perform subtraction, follow these steps: 1. Leave the first number (the minuend) unchanged. 2. Change the subtraction sign to an addition sign. 3. Add the opposite of the second number (the subtrahend). An English phrase can be translated to a mathematical expression involving subtraction of integers. Examples Example 1 a. 3 9 3 192 6 b. 3 9 3 192 12 c. 3 192 3 192 12 d. 3 192 3 192 6 Example 2 2 decreased by 10 translates to 2 1102. Section 2.4 Multiplication and Division of Integers Key Concepts Multiplication of Signed Numbers 1. The product of two numbers with the same sign is positive. 2. The product of two numbers with different signs is negative. 3. The product of any number and zero is zero. The product of an even number of negative factors is positive. The product of an odd number of negative factors is negative. When evaluating an exponential expression, attention must be given when parentheses are used. That is, 1224 122122122122 16, while 24 1 122122122122 16. Division of Signed Numbers 1. The quotient of two numbers with the same sign is positive. 2. The quotient of two numbers with different signs is negative. 3. Division by zero is undefined. 4. Zero divided by a nonzero number is 0. Examples Example 1 a. 8132 24 b. 8132 24 c. 8102 0 Example 2 a. 152142112132 60 b. 122112162132122 72 Example 3 a. 1322 132132 9 b. 32 132132 9 Example 4 a. 36 192 4 b. 42 6 7 Example 5 a. 15 0 is undefined. b. 0 132 0
miller_prealgebra_2e_ch1_3
To see the actual publication please follow the link above