1. Warm Up Compare. Use, or = 1. 7 5 2. 32 65 3. 82 28 4. 64 48 > < > Course 2 3-1 Integers >

2. Learn to compare and order integers and to determine absolute value. Course 2 3-1 Integers

3. Vocabulary opposite integer absolute value Insert Lesson Title Here Course 2 3-1 Integers

4. Course 2 3-1 Integers The opposite of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own opposite. 1 2 3 4 5 –5–4–3–2–1 0 –4 and 4 are opposites –44 Negative integers Positive integers 0 is neither positive nor negative

5. Course 2 3-1 Integers The integers are the set of whole numbers and their opposites. By using integers, you can express elevations above, below, and at sea level. Sea level has an elevation of 0 feet. The whole numbers are the counting numbers and zero: 0, 1, 2, 3,.... Remember!

6. Graph each integer and its opposite on a number line. Additional Example 1: Graphing Integers and Their Opposites on a Number Line Course 2 3-1 Integers A. 2 1 2 3 4 5 –5–4–3 –2 –1 0 B. –7 The opposite of 2 is –2. The opposite of –7 is 7. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0

7. Try This: Example 1 Insert Lesson Title Here Course 2 3-1 Integers Graph each integer and its opposite on a number line. A. 1 B. –5 1 2 3 4 5 –5–4 –3 –2–1 0 The opposite of 1 is –1. The opposite of –5 is 5. 1 2 3 4 5 6 7 –7–6–5–4–3–2 –1 0

8. Course 2 3-1 Integers Integers increase in value as you move to the right along a number line. They decrease in value as you move to the left. –6 –3 The symbol means “is greater than.” Remember!

9. Graph the integers on a number line, and then write them in order from least to greatest. Additional Example 2: Writing Integers in Order Course 2 3-1 Integers –3, 6, –5, 2, 0, –8 –8, –5, –3, 0, 2, 6 1 2 3 4 5 6 7 8 –8 –7–6 –5–4 –3 –2 –1 0

10. Try This: Example 2 Insert Lesson Title Here Course 2 3-1 Integers Graph the integers on a number line, and then write them in order from least to greatest. –5, 4, –3, 2, –1, –2 –5, –3, –2, –1, 2, 4 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

11. Course 2 3-1 Integers A number’s absolute value is its distance from 0 on a number line. Since distance can never be negative, absolute values are never negative. They are always positive or zero. The symbol || represents the absolute value of a number. This symbol is read as “the absolute value of.” For example, |–3| is the absolute value of –3.

12. Use a number line to find the absolute value. Additional Example 3A: Finding Absolute Value Course 2 3-1 Integers A. |8| 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0 8 units 8 is 8 units from 0, so |8| = 8.

13. Additional Example 3B: Finding Absolute Value Course 2 3-1 Integers Use a number line to find the absolute value. B. |–12| –12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 –12 is 12 units from 0, so |–12| = 12. 12 units

14. Use a number line to find the absolute value. Course 2 3-1 Integers A. |3| 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0 3 units 3 is 3 units from 0, so |3| = 3. Try This: Example 3A

15. Course 2 3-1 Integers Use a number line to find the absolute value. B. |–9| –12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 –9 is 9 units from 0, so |–9| = 9. 9 units Try This: Example 3B

16. Lesson Quiz: Part 1 Compare. Use, or =. 1. –32 32 2. 26 |–26| 3. –8 –12 4. Graph the numbers –2, 3, –4, 5, and –1 on a number line. Then list the numbers in order from least to greatest. = < Insert Lesson Title Here > Course 2 3-1 Integers 1 2 3 4 5 –5–4 –3 –2–1 0 –4, –2, –1, 3, 5

17. Lesson Quiz: Part 2 5. The coldest temperature ever recorded east of the Mississippi is fifty-four degrees below zero in Danbury, Wisconsin, on January 24, 1922. Write the temperature as an integer. –54 Insert Lesson Title Here Course 2 3-1 Integers

18. Assignment Page 132 – 133 –# 23 – 45, 49 - 65