Addition and subtraction problems�
Maths- Integers and Decimals
Mrs Booth
2
Exercise book or paper
Pencil
Image credit: Pixabay
In this lesson, you will need:
3
Starter quiz
Addition and subtraction with decimals
Addition and subtraction problems
Independent worksheet
Exit quiz
Keywords
Strategies - a carefully developed plan or method for achieving a goal or the skill in developing and undertaking such a plan or method.
Solve - to find an answer to a problem.
Addition - the process of calculating the sum of two or more addends.
Subtraction - the process of finding the difference between two numbers.
4
What different words are used in problems to identify addition and subtraction problems?
5
6
Mathematical vocabulary!
addition | subtraction |
| |
add
greater than
plus
altogether
sum
total
more than
increase
subtract
less than
minus
take away
less
difference
fewer than
decrease
How to use strategies to solve subtraction and addition problems.
7
8
1693 + 6225
Is this a subtraction or an addition problem?
At a recent concert 1693 people bought the early bird ticket saving $50 on their tickets. Then 6225 people bought tickets at full price. How many people altogether bought tickets?
Round and adjust
9
1693
1700
+7
7920
6225
6220
-2
7918
-5
+
10
$50.00
$37.00
$36.24
+$0.76
+$3.00
$50.00
$13.76
$10.00
+$3.76
-$40.00
Lily buys a dress for $36.24. She pays with a $50 dollar note. How much change does she get?
$13.76
$13.75
$40.00
+$10.00
11
$50.00
$26.00
$25.95
+$0.05
+$4.00
$50.00
$24.05
$20.00
+$4.05
-$30.00
Lily buys two dresses; one costs $25.95 and she pays a total of $50. How much does the other dress cost?
$24.05
$30.00
+$20.00
12
Strategies
13
Which year had more males, and how many more males was there than the following year?
What steps are required to solve the problem below?
Australian Registered Births | ||
Year | Males | Females |
2010 | 155,591 | 147,727 |
2019 | 157,476 | 148,356 |
2020 | 150,943 | 143,426 |
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Australian Registered Births | ||
Year | Males | Females |
2010 | 155,593 | 147,727 |
2019 | 157,476 | 148,356 |
2020 | 150,943 | 143,426 |
Which year had more males, and how many more males was there than the following year?
15
151 000
150 950
150 943
6 533
+7.00
157 476 - 150 943
= 6 533
+50
+6000
157 000
+476
16
Using the inverse to solve problems
17
I’m thinking of a number…
I add 104 to it, then I add 73.
My answer is 439.
What was my original number?
?
?
+104
+73
439
18
I’m thinking of a number…
I add 104 to it, then I add 73.
My answer is 439.
What was my number?
335
302
-33
-104
439
-40
262
19
I’m thinking of a number…
I add 301 to it, then I add 68.
My answer is 569.
What was my original number?
501
200
-301
-68
569
20
Multi step problems
21
Is this a subtraction or an addition problem?
For her party, Jen spent:
• $15.98 on balloons
• $25.38 on lollies
• $43.72 on a cake
Will $80 cover the cost? Explain your reasoning.
22
+0.02
$15.98
$16
$85
+0.08
$85.08
+
- 0.38
$25.38
$25
$15.98
$25.38
$43.72
+0.28
$43.72
$44
+
23
How many more babies were born in 2010 than in 2020?
Australian Registered Births | ||
Year | Males | Females |
2010 | 155,593 | 147,727 |
2019 | 157,476 | 148,356 |
2020 | 150,943 | 143,426 |
Add these together first
Next add these together
Round and adjust
24
+7
155 593
155 600
303 400
-80
303 320
+
+73
147 727
147 800
303 320
Round and adjust
25
+7
150 943
150 950
294 350
+19
294 369
+
-26
143 426
143 400
303 320
Round and adjust
26
-20
303 320
303 300
8 900
+ 51
8 951
-
+31
294 369
294 400
303 320
27
How many more babies were born in 2019 than in 2010?
Australian Registered Births | ||
Year | Males | Females |
2010 | 155,593 | 147,727 |
2019 | 157,476 | 148,356 |
2020 | 150,943 | 143,426 |
Round and adjust
28
2019
+24
157 476
157 500
305 900
-68
305 832
+
+44
148 356
148 400
305 832
2010
Round and adjust
29
2010
+7
155 593
155 600
303 300
+20
303 320
+
-27
147 727
147 700
305 832
Round and adjust
30
-32
305 832
305 800
2 500
+52
2 552
-
-20
303 320
303 300
305 832
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Pause the video to complete your task
Resume once you’re finished
Independent Worksheet
Now it is your turn to independently use strategies to solve addition and subtraction problems. You will need to open the Worksheet named “Addition and subtraction problems”.
Worksheet Answers
32
33
I’m thinking of a number…
I add 364 to it, then I add 120.
My answer is 730.
What was my original number?
610
310
-300
-120
730
-10
246
300
-54
Use the round and adjust strategy to solve the problem.
Alfie bought a helmet for $56.55 and a bike for $96.95. How much did it cost altogether?
34
+0.45
$56.55
$57
$154
-0.50
$153.50
+
+0.05
$96.95
$97
Use the jump strategy to solve the next part of the problem.
If Alfie had $200 to pay for the helmet and the bike, how much change would he receive?
35
$170
$164
$163.50
$200
+$6.00
+$0.50
+$30.00
= $164
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