14 Chapter 1 Whole Numbers Answer 4. 71,147 Addition of numbers may include more than two addends. Adding Whole Numbers Example 3 21,076 84,158 2419 In this example, the sum of the digits in the ones column is 23. Therefore, we write the 3 and carry the 2. In the tens column, the sum is 15. Write the 5 in the tens place and carry the 1. 1 7 2 21,0 6 84,158 2,419 107,653 2. Properties of Addition A variable is a letter or symbol that represents a number. The following are examples of variables: a, b, and c. We will use variables to present three important properties of addition. Most likely you have noticed that 0 added to any number is that number. 6 0 6 527 0 527 0 88 88 0 15 15 In each example, the number in red can be replaced with any number that we choose, and the statement would still be true. This fact is stated as the addition property of 0. Parentheses indicate that 2 3 is added first. Then 8 is added to the result. Add. Solution: For example: Addition Property of 0 For any number a, a 0 a and 0 a a The sum of any number and 0 is that number. The order in which we add two numbers does not affect the result. For example: 11 20 20 11. This is true for any two numbers and is stated in the next property. Commutative Property of Addition For any numbers a and b, a b b a Changing the order of two addends does not affect the sum. In mathematics we use parentheses 1 2as grouping symbols. To add more than two numbers, we can group them and then add. For example: 12 32 8 5 8 13 Skill Practice Add. 4. 57,296 4,089 9,762
miller_prealgebra_2e_ch1_3
To see the actual publication please follow the link above