Positive and Negative Integers

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Positive and Negative Integers
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• Mrs. Fricks Math Class

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Integers

• Integers are Rational Numbers
• Whole Numbers
• Positive and Negative
• Fractions
• Decimals
• Integers are NOT Irrational Numbers
• Pi
• Infinity
• Repeating Decimals

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More on Integers

• Integers are numbers that have an end. If you
  have a fraction and you divide the numerator by
  the denominator and it gives a non-repeating
  decimal, you have an integer.
• Irrational numbers on the other hand do not have
  an end, they repeat forever and ever.

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Which Is Similar to an integer?
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Way To Go!!

• You have got the hang of this click below to
  move on!

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Remember Integers Are

• Integers are numbers that have an end - rational.
  For example, a fraction that when you divide the
  numerator by the denominator it comes out to a
  non-repeating decimal.
• On the other hand, integers are not irrational
  numbers which do not have an end, they repeat
  forever and ever.

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Integers

• Integers can be positive or negative.
• Positive numbers are the ones that you are most
  familiar with like 1, 2/3, 842,000, 16, 1
  billion.
• These are to the right of zero on the number line
• Negative numbers are ones like 1, -2/3, -842,000
  and 16.
• These are to the left of zero on the number line

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Number Lines
0
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Things Found In Life
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Less Than Greater Than

• Numbers farthest on the right are greater than
  numbers on the left

• Numbers farthest on the left are less than
  numbers on the right

-500 -400 -300 -200 -100 0 100
200 300 400 500
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Location, Location, Location
You can pick a variety of numbers on the number
line. As you saw before, the numbers on the left
are less than the numbers on the right. You must
be careful when deciding between negative numbers
because the greater the numbers absolute value,
the less the actual value.
-450
-250
-500 -400 -300 -200 -100 0 100
200 300 400 500
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Absolute Value

• In order to compare positive and negative
  numbers, you must know what absolute value is.
• The distance any number is from 0 is its absolute
  value.
• Below the arrows are pointing to 100 and 100,
  they both are 100 units from 0 and have an
  absolute value of 100

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200 300 400 500
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More About Absolute Value
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Now, youre ready to Move On!!

• Click on the correct choice for the following six
  questions greater than gt or less than lt
• Question 1
• -32 lt gt 12

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Location, Location, Location
Because 32 is to the left of 12, -32 is less
than (lt) 12.
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-32
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200 300 400 500
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YOURE RIGHT

• SUPER BRAIN!!

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CHECK YOUR KNOWLEDGEQuestion 2
87 lt gt -64
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Location, Location, Location
-64 is to the left and since it is to the left of
87, 87 is greater than (gt) -64
-64
87
-500 -400 -300 -200 -100 0 100
200 300 400 500
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YOURE RIGHT

• SUPER BRAIN!!

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CHECK YOUR KNOWLEDGEQuestion 3

• -600 lt gt -5

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Location, Location, Location
If you continued the number line to the left you
would have 600 and since it is to the left of
5, -600 is less than (lt) -5
-600
-5
-500 -400 -300 -200 -100 0 100
200 300 400 500
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YOURE RIGHT

• SUPER BRAIN!!

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CHECK YOUR KNOWLEDGEQuestion 4

• -1110 lt gt 2

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Location, Location, Location
Since 1110 is to the left of 2 on the number
line -1110 is less than (lt) 2
2
-1110
-2000 -1750 -1500 -1250 -1000 0 1000
1250 1500 1750 2000
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YOURE RIGHT

• SUPER BRAIN!!

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CHECK YOUR KNOWLEDGEQuestion 5

• -.5 lt gt 1.5

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Location, Location, Location
Since 0.5 is to the left of 1.5 on the number
line it is less than (lt) 0.5
1.5
-0.5
- 1.25 -1.00 -0.75 -0.5 -0.25 0
0.25 0.5 0.75 1.00 1.25
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YOURE RIGHT

• SUPER BRAIN!!

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CHECK YOUR KNOWLEDGEQuestion 6

• -2/3 lt gt -1/2

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Location, Location, Location
Since 2/3 is equal to -0.6667 and 1/2 is equal
to -0.5, -0.6667 is to the left of 0.5 on the
number line and therefore is less than (lt) 0.5
-2/3
-1/2
- 1.25 -1.00 -0.75 -0.5 -0.25 0
0.25 0.5 0.75 1.00 1.25
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CONGRATULATIONS!!

• You are now an expert on Positive and Negative
  Integers!