PANDITA RAMABAI- Indian political thought GENDER.pptx
20-21 U1 D1 - Intro to Integers Notes
1. Happy Monday!
You should be seated in your seat
when the teacher walks in the room.
Did you grab the sheet from the table?
You need a pencil on your desk!
3. What are whole numbers?
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4. Whole Numbers
Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, …
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5. There are no fractions in whole
numbers
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6. What are Counting Numbers?
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7. Counting Numbers
Counting Numbers are Whole Numbers, but without
the zero. Because you can't "count" zero.
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Definition
• Positive number – a number greater than zero
• On a number line, positive numbers are to the
right of zero.
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Definition
• Negative number – a number less than zero
• On a number line, negative numbers are to
the left of zero.
12. Integers
Integers are the set of whole numbers,
and their opposites, including zero.
... but still no fractions or decimals!
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13. What are opposites?
• Numbers that are the same distance from zero.
• Two exact numbers with opposite signs.
• If an integer is positive its opposite will be negative and if a
number is negative its opposite will be positive.
• The opposite of zero is zero!
12 opposite -12
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14. Negative Numbers are used to
Measure Temperature
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18. Negative numbers are also used to
show debt.
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19. If you have no money and borrow $100
from the bank your bank balance will show
- $100
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20. Words that mean positive.
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gain
profit
above sea level
up
rise
increase
deposit
credit
21. Words that mean negative.
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loss
below sea level
down
decrease
withdraw
debit
descend
22. Words that mean zero.
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sea level
origin
23. What is a number line?
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A picture of a straight line on which every point is assumed to correspond to a
real number and every real number to a point.
Often the integers are shown as specially-marked points evenly spaced on the
line.
The line includes all real numbers, continuing forever in each direction, and also
numbers not marked that are between the integers.
24. Practice makes perfect!
• an increase of 5 points
• a loss of 15 yards
• earning $50
• 20° below zero
• 7 feet below sea level
• a decrease of 52 points
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+5
-15
+50
-20
-7
-52
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Graph each number and its opposite on the number line below. You will need to
label the number line. Begin with “0” in the middle.
-2 1
-6 9
-5 6
-3 3
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
● ● ●● ● ● ● ●
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Write the opposite of each integer.
-92 1001
75 0
-25 46
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Write the opposite of each integer.
-92 92 1001 -1001
75 -75 0 0
-25 25 -46 46
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Stacey has $8 in her piggy bank. She takes out $4 to
buy a magazine. Later her mother gives her $5, which
she puts in her piggy bank. Use integers to model this
situation.
+ 8 – 4 + 5
Stacey has $9 in her piggy bank.
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Wal-Mart stocks dropped three points yesterday. Home Depot’s
stocks gained 5 points yesterday. Write an integer to represent
each company’s gain or loss.
Wal-Mart -3
Home Depot +5
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Tell what the temperature is at each of the letters labeled on the
thermometer.
A = +10°
B = + 7°
C = +5°
D = +3°
E = -2°
F = -9°
G = -10°
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The elevation of a location describes its height above or below sea level,
which has elevation 0. The following are the elevations of several
locations in a state park. Graph the locations on the number line according
to their elevations.
Location Elevation
A. Little Butte 5
B. Cradle Creek -5
C. Dinosaur Valley -8.5
D. Mesa Ridge 8
E. Juniper Trail -3
1. What point on the number line is sea level?
2. Which location is closest to sea level?
3. Is location C above or below sea level?
4. Which two locations are the same distances from sea level?
5. Which location has the least elevation?
C B E A D
1. 0
2. (E) Juniper Trail
3. below sea level
4. (A) Little Brutte and
(B) Cradle Creek
5. (C) Dinosaur Valley
