1. 1-4 Integers and Absolute Value Open your notebook and write today’s date. We are doing sec 1.4 today.

2. 1-4 Integers and Absolute Value Warm Up Evaluate each expression for the given values of the variables. 1.2x – 3y for x = 17 and y = 6 2. 5(x + 3) + 4y for x = 3 and y = 2 3. 5x – 4y for x = 0.3 and y = 0.2

3. 1-4 Integers and Absolute Value Warm Up Evaluate each expression for the given values of the variables. 1.2x – 3y for x = 17 and y = 6 2. 5(x + 3) + 4y for x = 3 and y = 2 3. 5x – 4y for x = 0.3 and y = 0.2 16 38 0.7

4. 1-4 Integers and Absolute Value Learn to compare and order integers and to evaluate expressions containing absolute value.

5. 1-4 Integers and Absolute Value Vocabulary integer opposite additive inverse absolute value

6. 1-4 Integers and Absolute Value Integers are the set of whole numbers and their opposites. Opposites, or additive inverses, are numbers that are the same distance from 0, but on opposite sides of 0 on the number line.

7. 1-4 Integers and Absolute Value Use, or = to compare the scores. Additional Example 1A: Sports Application Aaron’s score is 4, and Felicity’s score is –1. Place the scores on the number line. –1 < 4 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 is to the left of 4.

8. 1-4 Integers and Absolute Value Use, or = to compare the scores. Additional Example 1B: Sports Application List the golf scores in order from the lowest to the highest. The scores are –4, 2, 5, and –3. Place the scores on the number line and read them from left to right. In order from the lowest score to the highest score, the scores are –4, –3, 2, and 5. –5 –4 –3 –2 –1 0 1 2 3 4 5

9. 1-4 Integers and Absolute Value Use, or = to compare the scores. Check It Out: Additional Example 1A Fran’s score is –2, and Joaquin’s score is –3. Place the scores on the number line. –3 < –2 –5 –4 –3 –2 –1 0 1 2 3 4 5 –3 is to the left of –2.

10. 1-4 Integers and Absolute Value Write the integers 7, –12, and 13 in order from least to greatest. Check It Out: Additional Example 2 13 > –12, 13 > 7, and –12 < 7 Compare each pair of integers. –12, 7, and 13. –12 is less than both 7 and 13.

11. 1-4 Integers and Absolute Value Find the additive inverse of each integer. Additional Example 3: Finding Additive Inverses A. 6 –6 B. –14 –6 is the same distance from 0 as 6 is on the number line. 14 14 is the same distance from 0 as –14 is on the number line. C. 0.5 –0.5 –0.5 is the same distance from 0 as 0.5 is on the number line.

12. 1-4 Integers and Absolute Value Both 4 and –4 are 4 units from 0. –5 –4 –3 –2 –1 0 1 2 3 4 5 A number’s absolute value is its distance from 0 on a number line. Absolute value is always positive or 0 because distance cannot be negative. “The absolute value of –4” is written as |–4|. Additive inverses have the same absolute value. 4 units 4 units –4 = 4 = 4.

13. 1-4 Integers and Absolute Value

14. 1-4 Integers and Absolute Value

15. 1-4 Integers and Absolute Value Simplify each expression. Additional Example 4: Simplifying Absolute-Value Expressions A. –8 + –5 –8 is 8 units from 0. 8 + 5 = 13 –8 = 8 –5 is 5 units from 0. –5 = 5 B. 5 – 6 –1 is 1 units from 0. –1 = 1

16. 1-4 Integers and Absolute Value Simplify each expression. Check It Out: Additional Example 4 A. –2 + –9 –2 is 2 units from 0. 2 + 9 = 11 –2 = 2 –9 is 9 units from 0. –9 = 9 B. 1 – 1 0 is 0 units from 0. 0 = 0

17. 1-4 Integers and Absolute Value Try these problems. Write the integers in order from least to greatest. 1. –17, –26, 23 2. 0, 5, –4 Simplify each expression. 3. The sum of 3 and the additive inverse of –8 4. |–4| + |–2| 5. At the end of the course, your golf score was –2. Your friend’s score was 7. Use, or = to compare the scores.

18. 1-4 Integers and Absolute Value Answers Write the integers in order from least to greatest. 1. –17, –26, 23 2. 0, 5, –4 Simplify each expression. 3. The sum of 3 and the additive inverse of –8 4. |–4| + |–2| 5. At the end of the course, your golf score was –2. Your friend’s score was 7. Use, or = to compare the scores. –26, –17, 23 –4, 0, 5 11 6 –2 < 7

19. 1-4 Integers and Absolute Value 1. Which of the following represents the given integers in order from least to greatest? –24, 16, –13 A. –24, 16, –13 B. –24, –13, 16 C. –13, 16, –24 D. 16, –13, –24 Try this problem.

20. 1-4 Integers and Absolute Value 1. Which of the following represents the given integers in order from least to greatest? –24, 16, –13 A. –24, 16, –13 B. –24, –13, 16 C. –13, 16, –24 D. 16, –13, –24 Answer

21. 1-4 Integers and Absolute Value 3. Evaluate the sum of 5 and the additive inverse of –14. A. –19 B. –9 C. 9 D. 19 Try this problem.

22. 1-4 Integers and Absolute Value 3. Evaluate the sum of 5 and the additive inverse of –14. A. –19 B. –9 C. 9 D. 19 Answer

23. 1-4 Integers and Absolute Value 4. Evaluate |–6| + |–12|. A. –6 B. 6 C. 12 D. 18 Try this problem.

24. 1-4 Integers and Absolute Value 4. Evaluate |–6| + |–12|. A. –6 B. 6 C. 12 D. 18 Answer