Integers: Comparing and Ordering EQ How do we compare and order rational numbers?
Post on 23-Dec-2015
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Rational NumbersRational Numbers
Rational Numbers
Integers Fractions/Decimals
Whole Numbers(Positive Integers)
Negative Integers
Rational numbersRational numbers
•Numbers that can be written as a fraction.
Example: 2 = 2 = 2 ÷ 1 = 2
1
Comparing IntegersComparing Integers• The further a number is to the right
on the number line, the greater it’s value.
Ex: -3 ___ -1
-5 -4 -3 -2 -1 0 1 2 3 4 5
-1 is on the right of -3, so it is the greatest.
..
<
Comparing IntegersComparing Integers• The farther a number is to the right
on the number line, the greater it’s value.
Ex: 2 ___ -5
-5 -4 -3 -2 -1 0 1 2 3 4 5
2 is on the right of -5, so it is the greatest.
..
>
Comparing IntegersComparing Integers• The farther a number is to the right
on the number line, the greater it’s value.
Ex: 0 ___ -2
-5 -4 -3 -2 -1 0 1 2 3 4 5
0 is on the right of -2, so it is the greatest.
..
>
Ordering IntegersOrdering IntegersWhen ordering integers from least to
greatest follow the order on the number line from left to right.
Ex: 4, -5, 0, 2
-5 -4 -3 -2 -1 0 1 2 3 4 5
Least to greatest: -5, 0, 2, 4
.. . .
Ordering IntegersOrdering IntegersWhen ordering integers from greatest
to least follow the order on the number line from right to left.
Ex: -4, 3, 0, -1
-5 -4 -3 -2 -1 0 1 2 3 4 5
Greatest to least: 3, 0, -1, -4
.. . .
Try This:Try This:a. -13 ___ 4
b. -4 ___ -7
c. -156 ___ 32
<
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<d. Order from least to greatest:15, -9, -3, 5 _______________
e. Order from greatest to least:-16, -7, -8, 2 _______________
-9, -3, 5, 15
2, -7, -8, -16
Absolute ValueAbsolute Value• The distance a number is from zero
on the number line.
Symbols: |2| = the absolute value of 2
-5 -4 -3 -2 -1 0 1 2 3 4 5
It takes two jumps from 0 to 2.
Start at 0, count the jumps to 2.
|2| = 2
Absolute ValueAbsolute Value• The distance a number is from zero
on the number line.
Ex: |-4| =
-5 -4 -3 -2 -1 0 1 2 3 4 5
It takes four jumps from 0 to -4.
Start at 0, count the jumps to -4.
|-4| = 4
Solving Problems with Solving Problems with Absolute ValueAbsolute Value
When there is an operation inside the absolute value symbols; solve the problem first, then take the absolute value of the answer.
Ex: |3+4| = |7| = 7
Ex: |3|- 2 = 3-2 = 1
Hint: They are kind of like parentheses – do them first!
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