Bell Work 1.(8 – 2) 2 + 12 ÷6 2.16 ÷ (3 2 – 1). Positive and Negative Whole Numbers are called...
-
Upload
emma-nelson -
Category
Documents
-
view
214 -
download
0
Transcript of Bell Work 1.(8 – 2) 2 + 12 ÷6 2.16 ÷ (3 2 – 1). Positive and Negative Whole Numbers are called...
Venn Diagram of Real Numbers
Whole Numbers
Integers-positive & negative
Irrational Numbers
Rational Numbers-fractions
Integers
Numbers to the left of zeroare less than zero.
Numbers to the right of zero are more than zero.
Definition• Opposite Numbers – numbers
that are the same distance from zero in the opposite direction
0 1 2 3 4 5 6-1-2-3-4-5-6
Absolute 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 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
Absolute Value
Absolute Value
The absolute value of a number is the distance between that number and zero on a number line. Absolute value is shown by placing two vertical bars around the number In symbols: |7| = 7 and |-7| = 7
-5 50 10-10
+7-7
Negative Numbers Are Used to Show Debt
Let’s say your parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.
Comparing 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 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 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 Integers
When 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
.. . .
Try This:
a. -13 ___ 4
b. -4 ___ -7
c. -156 ___ 32
<
<
<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