Page 97

miller_prealgebra_2e_ch1_3

Section 2.2 Addition of Integers 95 b. 6 24 First find the absolute value of each addend. 06 0 6 and 024 24 TIP: 0 Parentheses are Note: The absolute value of 24 is greater than the absolute value of 6. Therefore, the sum is positive. 124 62 Next, subtract the smaller absolute value from the larger absolute value. Apply the sign of the number with the larger absolute value. 18 c. 8 8 First find the absolute value of each addend. 08 0 8 and 08 0 8 18 82 The absolute values are equal. Therefore, their difference is 0. The number zero is neither positive nor negative. 0 Example 4(c) illustrates that the sum of a number and its opposite is zero. For example: 8 8 0 12 12 0 6 162 0 Adding Opposites For any number a, That is, the sum of any number and its opposite is zero. (This is also called the additive inverse property.) Adding Several Integers Example 5 Simplify. Solution: 30 1122 4 1102 6 30 1122 4 1102 6 42 4 1102 6 38 1102 6 48 6 42 a 1a2 0 and a a 0 used to show that the absolute values are subtracted before applying the appropriate sign. Apply the order of operations by adding from left to right. TIP: When several numbers are added, we can reorder and regroup the addends using the commutative property and associative property of addition. In particular, we can group all the positive addends together, and we can group all the negative addends together. This makes the arithmetic easier. For example, 30 1122 4 1102 6 4 6 1302 1122 1102 10 1522 42 Skill Practice Simplify. 13. 24 1162 8 2 1202 Answer 13. 50 μ μ • • U μ positive addends negative addends


miller_prealgebra_2e_ch1_3
To see the actual publication please follow the link above