Section 2.1 Integers, Absolute Value, and Opposite 89 Finding the Opposite of an Integer Example 5 Find the opposite. a. 4 b. 99 Solution: a. If a number is positive, its opposite is negative. The opposite of 4 is 4. b. If a number is negative, its opposite is positive. The opposite of 99 is 99. Simplifying Expressions Simplify. a. 192 b. 012 0 c. 07 0 Solution: a. 192 9 This represents the opposite of 9, which is 9. b. 12 This represents the opposite of Since is 012 0 012 0 . 012 0 equal to 12, the opposite is 12. c. 7 This represents the opposite of Since is equal to 07 0 07 0 . 07 0 7, the opposite is 7. Example 6 TIP: To find the opposite of a number, change the sign. Answers 13. 108 14. 54 15. 34 16. 20 17. 4 Study Skills Exercise When working with signed numbers, keep a simple example in your mind, such as temperature.We understand that 10 degrees below zero is colder than 2 degrees below zero, so the inequality 10 2 makes sense. Write down another example involving signed numbers that you can easily remember. Vocabulary and Key Concepts 1. a. On a number line, numbers lie to the right of zero and numbers lie to the left of zero. b. The numbers … –3, –2, –1, 0, 1, 2, 3, … are called . c. The distance between a number and zero on the number line is called its value. d. Two numbers that are the same distance from zero on the number line, but on opposite sides of zero are called . Concept 1: Integers For Exercises 2–12, write an integer that represents each numerical value. (See Example 1.) 2. A submarine dove to a depth of 340 ft below sea level. 3. Death Valley, California, is 86 m below sea level. Skill Practice Find the opposite. 13. 108 14. 54 Skill Practice Simplify. 15. 1342 16. 020 0 17. 04 0 Avoiding Mistakes In Example 6(b) two operations are performed. First take the absolute value of 12. Then determine the opposite of the result. Section 2.1 Practice Exercises
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