1. Identifying Opposites and Absolute Value of Rational Numbers
2.2
Identifying Opposites and Absolute Value of Rational Numbers
How can you identify opposites and absolute values of rational numbers?

2. Texas Essential Knowledge and Skills
The student is expected to:
Number and operations—6.2.B
Identify a number, its opposite, and its absolute value.
Mathematical Processes
6.1.D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

3. ADDITIONAL EXAMPLE 1
Alberto’s average running time for 100 meters is sec. Each day after he warms up, Alberto records his run time so he can compare it to his average time.

4. ADDITIONAL EXAMPLE 1
Graph the change in time for Tuesday and its opposite.

5. ADDITIONAL EXAMPLE 2
Eric tries to begin each day with $5.00 in his backpack. The table shows how much more or less than $5.00 he had in his backpack at the end of each day during a 3-day period.

6. ADDITIONAL EXAMPLE 2
Graph the amount more or less than $5 he had at the end of Tuesday.

7. 2.2 LESSON QUIZ
6.2.B 1.
The table shows how the rainfall varied each of three months compared with the average rainfall for that month.

8. a.
Graph each month’s rainfall variation and its opposite on a number line.

9. b.
For which month did the variation differ the most from the monthly average? Explain.
July; because July had 3.25 more inches than the average June had about 1 inch less than average, and August had 0.5 inches less than
average.

10. Write the absolute value of each number.2.
9.01
9.01 3. 4.
–8.7
8.7 5.

11. On Monday morning the opening price of a stock was $10
On Monday morning the opening price of a stock was $10. Complete the table to find the closing price of the stock on Friday afternoon. What was the closing price?
The closing price on Friday was $11.75.

12. How can you identify opposites and absolute values of rational numbers?
Opposites are the same distance from 0 on the number line but on different sides of 0. Absolute value is the number’s distance from 0.