Transcript How can you identify opposites and absolute values of rational

LESSON
2.2
Identifying Opposites and Absolute
Value of Rational Numbers
How can you identify opposites and absolute values of
rational numbers?
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.
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.
ADDITIONAL EXAMPLE 1
Graph the change in time for Tuesday and its
opposite.
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.
ADDITIONAL EXAMPLE 2
Graph the amount more or less than $5 he had
at the end of Tuesday.
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.
a. Graph each month’s rainfall variation and its
opposite on a number line.
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.
Write the absolute value of each number.
2. 9.01
9.01
3.
4. –8.7
5.
8.7
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.
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.