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Transcript
Catalyst
Tuesday, October 11, 2011
Marlene and Jason each took an online test.
Marlene answered 3/5 of the questions
correctly. Jason answered a greater fraction
of the questions correctly. Which of the
following fractions could represent the
fraction Jason answered correctly?
a. 2/3
b. 6/10
c. ½
d. 3/8
Justify which the incorrect answers will
NOT be correct.
Incredible Integers
What is an
integer?
Integers are the
whole numbers and
their opposites.
Okay…but what
does that mean?
Two integers are opposites if
they are the same distance
from 0 in either the positive
or negative direction on a
number line.
This means…
• Positive integers
are all the whole
numbers greater
than zero: 1, 2, 3,
4, 5, ...
• Negative integers
are all the
opposites of these
whole numbers: -1,
-2, -3, -4, -5, …
• Negative numbers
are less than zero.
Let’s look at some
examples of opposites!
• -4 and +4
• -2 and +2
• -5 and +5
Integers can also
represent situations
Here are some examples:
• Sarah went up four
steps
• +4
• The temperature is
twelve below zero.
• -12
• The elevation of the
mountain is 52,000
feet
• +52,000
And a few more…
• The football team
lost 8 yards
• -8
• Anne gained 10
pounds
• +10
• Tara spent $20 of
her checking
account.
• -$20
You try some!!
• The stock market
showed a gain of 212
points today
• +212
• Death Valley,
California is 282
feet below sea level
• -282
• The elevator went
down two floors.
• -2
Integer Rules
Addition/Subtraction
+ plus + = +
- plus - = Multiplication/Division
+x+=+
-x-=+
+/+=+
-/ - = -
Now let’s talk
about
Absolute Value
Absolute Value
is…
The distance a number is from
zero on the number line.
So…
• Absolute value is shown by two bars on
either side of an integer.
• The absolute value of the number is
really just the number without a sign (or
neither negative nor positive)
4
Unless…
• The negative sign is OUTSIDE
of the absolute value bars.
= -4
Here are some examples!
• Example 1:
• Example 2:
=9
Now you try some!
Time to practice!
Let’s look at the worksheets
you just got!
Let’s go!!