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Pre-Algebra Interactive ChalkboardCopyright © by The McGraw-Hill Companies, Inc.
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Example 1 Write Integers for Real-World Situations
Example 2 Compare Two Integers
Example 3 Order Integers
Example 4 Expressions with Absolute Value
Example 5Algebraic Expressions with Absolute Value
Write an integer for each situation.
a. 32 feet under ground
b. 8 weeks after birth
c. a loss of 6 pounds
Answer: The integer is –32.
Answer: The integer is +8.
Answer: The integer is –6.
Write an integer for each situation.
a. a loss of 12 yards
b. 15 feet above sea level
c. the temperature decreased 4 degrees
Answer: The integer is –12.
Answer: The integer is +15.
Answer: The integer is –4.
Use the integers graphed on the number line below.
Write two inequalities involving 7 and –4.
Answer: Since 7 is to the right of –4, write
.Since –4 is to the left of 7, write.
Use the integers graphed on the number line below.
Replace the with <, >, or = in –2 3 to make a true sentence.
Answer: –2 is less since it lies to the left of 3. So write –2 < 3.
Use the integers graphed on the number line below.
a. Write two inequalities involving –4 and 1.
b. Replace the with <, >, or = in 6 –7 to make a true sentence.
Answer:
Answer:
Weather The high temperatures for the first seven days of January were –8°, 10°, 2°, –3°, –11°, 0°, and 1°. Order the temperatures from least to greatest.Graph each integer on a number line.
Write the numbers as they appear from left to right.
Answer: The temperatures –11°, –8°, –3°, 0°, 1°, 2°, 10° are in order from least to greatest.
Football The yards gained during the first six plays of the football game were 5, –3, 12, –9, 6, and –1. Order the yards from least to greatest.
Answer: The yards –9, –3, –1, 5, 6, and 12 are in order from least to greatest.
The graph of 5 is 5 units from 0.
Answer: 5
Evaluate .
Evaluate .
Simplify.
The absolute value of –1 is 1.
The absolute value of –8 is 8.
Answer: 9
Simplify.
The absolute value of –4 is 4.
The absolute value of 6 is 6.
Answer: 2
Evaluate .
Evaluate each expression.
a.
b.
c.
Answer: 9
Answer: 5
Answer: –2
Algebra Evaluate if .
The absolute value of –2 is 2.
Simplify.
Answer: –6
Replace x with –2.
Algebra Evaluate if .
Answer: –4