Integers and Absolute Value

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What Are You Learning?

I CAN find the absolute value of rational numbers.

I CAN use integers to represent various situations.

I CAN compare integers.

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Why Do I Need To Know This? Using rational numbers to

represent situations is important because it allows you to use rational numbers to symbolize real world events and situations.

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Vocabulary Rational Numbers are numbers that can be

written as fractions, including terminating and repeating decimals, and integers.

Integers are whole numbers and their opposites.

Negative integers are integers less than zero.

Positive integers are integers greater than zero.

Where might you find integers in the real world?

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Notes

Zero is neither positive or negative.

Zero does NOT have an opposite.

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Write an integer for each situation. a. The average temperature in Tennessee for May was 5 degrees

below normal.

b. The average rainfall in Virginia for November was 5 inches above normal.

c. 6°F below 0

d. A loss of 11 yards

e. A deposit of $16

f. The price of a company’s stock fell 21 points in two days. Write an integer to represent the amount the stock price fell.

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Write an integer that represents a loss of $20

1. │-20│

2. -20

3. │20│

4. 20

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-20 20

25% 25%25%25%

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Write an integer for each situation.a. The temperature of the liquid is 4 degrees below

zero.

b. Seawater freezes 2 degrees below zero.

c. 12 degrees above Celsius.

d. A debt of $5.

e. 23 feet above the surface.

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Vocabulary

Absolute Value—the distance the number is from zero on a number line.

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Find the absolute value.

a. |-3|

b. |3|

c. |-10|

d. |-5|

e. |5|

f. |-12|

g. |1.9|

h. |-5/6|

i. |-6.5|

j. |2.5|

k. |5 5/8|

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Find the absolute value

a. |6|

b. |-6|

c. |-4|

d. |-5|

e. |-5| - |2|

f. |-4| - |-3|

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Evaluate │7 │ + │-3 │

1. 10

2. 4

3. -4

4. -10

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10 4 -4 -10

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Evaluate │3│ - │-2│

1. -1

2. -5

3. 5

4. 1

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-1 -5 5 1

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Determine whether each statement is true or false. If false, give a counterexample.

a. Every integer has an absolute value.

b. The absolute value of every integer is positive.

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Complete each sentence with a word that makes it true.a. An integer is negative, positive, or ____.

b. All _____ integers are less than zero.

c. The opposite of a _______ number is negative.

d. The absolute value of an integer is never ________.

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To graph a point on a number line, draw a point on the line at its location.

When 2 numbers are graphed on a number line, the number to the left is always less than the number to the right.

The number to the right is always greater than the number to the left.

> greater than < less than

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Use < or > to make each statement true.

a. -5 -3

b. -8 -4

c. 5 -1

a. -10 -13

b. -9 -5

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Use < or > to make the statement true.-3 □ 51. >

2. <

3. =

4. +

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> < = +

25% 25%25%25%

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Class Work

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