Adding and Subtracting Rational Numbers
Presentation
•
Mathematics
•
7th Grade
•
Hard
James Gonzalez
FREE Resource
6 Slides • 8 Questions
1
1/9/25 Adding and Subtracting Rational Numbers to Solve Problems
Lesson 5.1.7
I can...
compare and contrast subtraction expressions that have the same numbers in the opposite order
recognize that the difference of two numbers can be positive or negative, depending on the order they are listed, while the distance between two numbers is always positive
add and subtract signed numbers to solve problems in an unfamiliar context
interpret signed numbers used to present gains or losses in an unfamiliar context
2
Match
Solve these equations mentally. Match each equation with the current solution for "c."
247 + c = 458
c + 43.87 = 58.92
815 + c = 851
c = 211
c = 15.05
c = 211
c = 15.05
c = 836
3
Draw
Choose the subtraction equation that represents each addition equation.
4
Explore - Page 1
The benefits of solar energy.
5
Multiple Choice
The month before installing solar panels, a family spent $206 on electricity. The next month, the family used the same amount of electricity, but their electric bill was $53. How much did the solar panels save them this month?
Which expression will correctly calculate the solution to this problem?
$53 - $206
$206 - $53
$206 + $53
$53 + $206
6
Trying to find a missing number in an equation?
Think of algebra.
Do the opposite of the equation is saying
x + 5 = 8 (subtract 5 from both sides)
x - 7 = 12 (add 7 to both sides)
7
Working with Subtraction
Subtracting a negative is the same as adding a positive
8 - (-4) is the same as 8 + 4
Negative minus a positive can be rewritten as negative plus negative using Keep Change Flip
-12 - 8
K C F
-12 + (-8) = -20
8
Match
Match each subtraction expression with its corresponding value.
50 - 400
-120 - 400
610 - (-200)
-50 - (-200)
-500 - (-200)
-350
-520
810
150
-300
-350
-520
810
150
-300
9
Match
Match each subtraction expression with its corresponding value.
-9 - 5
2 - (-11)
-3 - (-6)
-3.6 - (-1.2)
−3 21 − (−2 21)
-14
13
3
-2.4
-1
-14
13
3
-2.4
-1
10
Multiple Choice
Based on the information in the table, what do you think the inventory will be on Saturday morning?
18
-18
22
-22
11
Paying a Bill
Amount that needs to be paid would be a positive, but any credits that a person earned would be negative because it would be taken off a bill.
Example:
Water bill is $38.47, but you have a credit of $6.12. It would be -$6.12 because that amount would be taken off the bill and not need to be paid.
12
Multiple Choice
In July, Han's family used $19.24 of electricity. Their solar panels made $22.75 worth of electricity. What was the amount of the bill?
-$41.99
-$3.51
$3.51
$41.99
13
Explore Pages 8 and 9
Geogebra activity involving plotting points on a coordinate plane with a Math Notebook page. You may complete that on your own time.
14
Multiple Choice
Assuming there are 0 coffee cups at the start of the week, how many cups are there at the end of the week?
5,109
2,329
0
-1,109
1/9/25 Adding and Subtracting Rational Numbers to Solve Problems
Lesson 5.1.7
I can...
compare and contrast subtraction expressions that have the same numbers in the opposite order
recognize that the difference of two numbers can be positive or negative, depending on the order they are listed, while the distance between two numbers is always positive
add and subtract signed numbers to solve problems in an unfamiliar context
interpret signed numbers used to present gains or losses in an unfamiliar context
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