Subtracting Integers

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Objective
Subtract integers
Review
Vocabulary
Range
The difference between the greatest number and
the least number in a set of data
Subtract Integers
1.
Separate numbers with sign in front of number
4 - 7
4
- 7
Place a positive sign between them, then follow the
addition rules
4 + - 7
Follow addition rules
Subtract Integers
2.
Combine 2 negative signs and make a positive
4 - (- 7)
Follow addition rules
4 + 7
Example 1 Subtract Positive Integers
Example 2 Subtract Positive Integers
Example 3 Subtract Negative Integers
Example 4 Subtract Negative Integers
Example 5 Evaluate an Expression
Example 6 Use Integers to Solve a Problem
Write problem
Find
2 - 15
2 + - 15
different
Separate numbers with sign in
front of number
Place a positive sign between them,
then follow the addition rules
Draw arrows to the signs
Determine if the signs are
the same or different
1/6
Find
2 - 15
2 + - 15
different
Different signs, subtract the
numbers without the signs
15 - 2
(Remember: big number small number)
Keep sign of largest number
15 - 2
- 13
Answer: –13
1/6
Find
Answer: –8
1/6
Find
-13 - 8
-13 + - 8
same
Write problem
Separate numbers with sign in
front of number
Place a positive sign between them,
then follow the addition rules
Draw arrows to the signs
Determine if the signs are
the same or different
2/6
Same sign, add the numbers
without the signs 13 + 8
Find
-13 - 8
Keep the sign
-13 + - 8
same
13 + 8
- 21
Answer: –21
2/6
Find
Answer: –20
2/6
Write problem
Find
12 – (-6)
12 + 6
Same
12 + 6
18
Combine the negative signs and
make a positive sign
Draw arrows to the signs
Determine if the signs are
the same or different
Same sign, add the numbers
without the signs 12 + 6
Keep the sign
Answer: 18
3/6
Find
Answer: 13
3/6
Write problem
Find
21 – (-8)
21 + 8
Same
21 + 8
29
Combine the negative signs and
make a positive sign
Draw arrows to the signs
Determine if the signs are
the same or different
Same sign, add the numbers
without the signs 21 + 8
Keep the sign
Answer: 29
4/6
Find
Answer: 23
4/6
ALGEBRA Evaluate
Write problem
g - h
-2 - (-7)
Replace g with - 2
Bring down
-
Replace h with - 7
-2 + 7
different
Combine the negative signs and
make a positive sign
Draw arrows to the signs
Determine if the signs are
the same or different
5/6
ALGEBRA Evaluate
g - h
-2 - (-7)
-2 + 7
Different signs, subtract the
numbers without the signs
7-2
(Remember: big number small number)
Keep sign of largest number
different
7-2
5
Answer: 5
5/6
ALGEBRA Evaluate
Answer: –10
5/6
GEOGRAPHY In Mongolia, the temperature can dip
down to –45C in January. The temperature in July
may reach 40C. What is the temperature range in
Mongolia?
Remember:
40 - (-45)
Range = Greatest value - smallest value
Find the greatest value
Put subtraction sign in expression
Find the least value
6/6
GEOGRAPHY In Mongolia, the temperature can dip down
to –45C in January. The temperature in July may reach
40C. What is the temperature range in Mongolia?
Combine the negative signs and
make a positive sign
40 - (-45)
Draw arrows to the signs
40 + 45
Same
40 + 45
85
Answer: 85C
Determine if the signs are
the same or different
Same sign, add the numbers
without the signs 40 + 45
Keep the sign
Add dimensional analysis
6/6
*
TEMPERATURE On a particular day in Anchorage,
Alaska, the high temperature was 15F and the low
temperature was –11F. What is the range of
temperatures for that day?
Answer: 26F
6/6
Assignment
Lesson
3:5
Subtracting Integers
12 - 35
All