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Integers, Absolute Value,
Comparing & Ordering
Review
Integers
• Integers are all of the positive and
negative whole numbers.
• There are no fractions or decimals that are integers.
….. -3, -2, -1, 0, 1, 2, 3 …
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Negative Direction Positive Direction
Graphing Integers on a number
line
1) Draw a number line
2) Graph an Integer by drawing a dot at the
point that represents the integer.
Example: -6, -2, and 3
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Graphing Integers on a number
line
1) Graph -7, 0, and 5
2) Graph -4, -1, and 1
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Order Integers from Least to
Greatest
• You need to know which numbers are bigger or smaller than others,
so we need to order them from least to greatest.
Example:
Order the integers -4, 0, 5, -2, 3, -3 from
least to greatest.
The order is -4, -3, -2, 0, 3, 5.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Order Integers from least to
greatest
1) Order the integers 4,-2,-5,0,2,-1 from
least to greatest.
2) Order the integers 3,4,-2,-5,1,-7 from
least to greatest.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Absolute Value
• Absolute value of a
number is the
DISTANCE to ZERO.
• Distance cannot be
negative, so the
absolute value cannot
be negative.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
5 5
5 5
0 0

 

Absolute Value
Evaluate the absolute value:
Ask yourself, how far is the number from
zero?
1) | -4 | =
2) | 3 | =
3) | -9 | =
4) | 8 - 3 | + =
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Opposites
• Two numbers that have the same
ABSOLUTE VALUE, but different signs
are called opposites.
Example -6 and 6 are opposites because
both are 6 units away from zero.
| -6 | = 6 and | 6 | = 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Using Absolute Value in Real
Life
• The graph shows the
position of a diver relative to
sea level. Use absolute value
to find the diver’s distance
from the surface.
Comparing Integers
Compare -4 and 1 using <, =, or >.
Remember, numbers increase going from left to right.
-4 < 1
Ordering Integers
Order the numbers -8, 7, -4, and 3 from
least to greatest. Use a number line to
plot the points. Then put them in order
from least to greatest.
Remember, numbers increase going from left to right.
-8, -4, 3, and 7
l-4l l-3l
>
l12l l-12l
=
l-20l l10l
>

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IntegersAbsoluteValue.ppt

  • 2. Integers • Integers are all of the positive and negative whole numbers. • There are no fractions or decimals that are integers. ….. -3, -2, -1, 0, 1, 2, 3 … -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Negative Direction Positive Direction
  • 3. Graphing Integers on a number line 1) Draw a number line 2) Graph an Integer by drawing a dot at the point that represents the integer. Example: -6, -2, and 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 4. Graphing Integers on a number line 1) Graph -7, 0, and 5 2) Graph -4, -1, and 1 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 5. Order Integers from Least to Greatest • You need to know which numbers are bigger or smaller than others, so we need to order them from least to greatest. Example: Order the integers -4, 0, 5, -2, 3, -3 from least to greatest. The order is -4, -3, -2, 0, 3, 5. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 6. Order Integers from least to greatest 1) Order the integers 4,-2,-5,0,2,-1 from least to greatest. 2) Order the integers 3,4,-2,-5,1,-7 from least to greatest. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 7. Absolute Value • Absolute value of a number is the DISTANCE to ZERO. • Distance cannot be negative, so the absolute value cannot be negative. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 5 5 5 5 0 0    
  • 8. Absolute Value Evaluate the absolute value: Ask yourself, how far is the number from zero? 1) | -4 | = 2) | 3 | = 3) | -9 | = 4) | 8 - 3 | + = -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 9. Opposites • Two numbers that have the same ABSOLUTE VALUE, but different signs are called opposites. Example -6 and 6 are opposites because both are 6 units away from zero. | -6 | = 6 and | 6 | = 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 10. Using Absolute Value in Real Life • The graph shows the position of a diver relative to sea level. Use absolute value to find the diver’s distance from the surface.
  • 11. Comparing Integers Compare -4 and 1 using <, =, or >. Remember, numbers increase going from left to right. -4 < 1
  • 12. Ordering Integers Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest. Remember, numbers increase going from left to right. -8, -4, 3, and 7