Math 1A Singapore-Methods of Subtraction-Chapter 4.2

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Methods of Subtraction


Follow the below number sentences to understand the methods of subtraction.


(a)

6 2 = 4

6 4 = 2

   6

 ↙↘
4   2

(b)

6 1 = 5

6 5 = 1

  6

 ↙↘
1   5
(c)

6 6 = 0

6 0 = 6

   6

 ↙↘
0   6

(d)

6 3 = 3

   6

 ↙↘
3   3


1. [as per workbook exercise 24 and textbook]


(a) There are 7 bats in a box. Take away 2 bats. There will be ___ bats left.

Solution:

   7

 ↙↘
2   5

7 2 = 5

There will be 5 bats left.

Answer: 5


(b) There are 6 balloons. John buys 2 balloons. How many balloons are left.

Solution:

   6

 ↙↘
2   4

6 2 = 4

4 balloons are left.

Answer: 4


(c) I have 6 bottles of milk. I give away 4 bottles. There are ___ bottles left.

Solution:

   6

 ↙↘
4   2

6 4 = 2

There are 2 bottles left.


(d) There are 8 hats. 3 are big hats. The rest are small hats. There are ___ small hats.

Solution:

   8

 ↙↘
3   5

8 3 = 5

There are 5 small hats.

Answer: 5


(e) I buy 10 cup cakes. I put 4 (four) of them on a plate. The rest are in the box. There are ___ cup cakes in the box.

Solution:

  10

 ↙↘
4   6

10 4 = 6

There are 6 (six) cup cakes in the box.


2. There are 8 dolls altogether. 5 dolls belong to Morgan. The rest belong to Emily. How many dolls does Emily have?

Solution:

   8

 ↙↘
5   3

8 5 = 3

Emily has 3 dolls.

Answer: 3


3. Complete the number sentences.

(a) 8 2 = ___

(b) 7 4 = ___

Solution:

(a)

   8

 ↙↘
2   6

So, 8 2 = 6

(b)

   7

 ↙↘
4   3

So, 7 4 = 3


Workbook Exercise 23 (1)


Fill in the missing numbers.


(a)

5 2 =

   5

 ↙ ↘
 

Solution:

5 2 = 3

   5

 ↙↘
2   3


(b)

4 1 =

  

 ↙ ↘
 

Solution:

4 1 = 3

   4

 ↙↘
1   3


(c)

6 6 =

  

 ↙ ↘
 

Solution:

6 6 = 0

   6

 ↙↘
6   0


(d)

9 7 =

  

 ↙ ↘
 

Solution:

9 7 = 2

   9

 ↙↘
7   2


Workbook Exercise 23 (2)


(a) 8 4 = ?    7 4 = ?

Answer:

8 4 = 4

7 4 = 3


(b) 10 4 = ?  6 3 = ?

Answer:

10 4 = 6

6 3 = 3


(c) 9 2 = ?    8 2 = ?

Answer:

9 2 = 7

8 2 = 6


4. Complete the number sentences.


(a)

3 + 2 =         5 – 2 =

2 + 3 =         5 – 3 =         

Solution:

3 + 2 = 5.         5 – 2 = 3.

2 + 3 = 5.         5 – 3 = 2.


(b)

7 + 2 =         9 2 =

2 + 7 =         9 7 =

Solution:

7 + 2 = 9.         9 2 = 7.

2 + 7 = 9.         9 7 = 2.


Workbook Exercise 25(1):


(a)

5 + 1 =         1 + 5 =

6 5 =          6 1 =

Solution:

5 + 1 = 6.         1 + 5 = 6.

6 5 = 1.         6 1 = 5.


(b)

4 + 3 =         3 + 4 =

7 4 =          7 3 =

Solution:

4 + 3 = 7.         3 + 4 = 7.

7 4 = 3.         7 3 = 4.


(c)

3 + 2 =         2 + 3 =

5 2 =          5 3 =

Solution:

3 + 2 = 5.         2 + 3 = 5.

5 2 = 3.         5 3 = 2.


Workbook Exercise 26(1): Write + or - in each

3 1 = 2         2 2 = 0

3 2 = 5         5 1 = 4

4 3 = 1         1 3 = 4

Solution:

3 1 = 2.         2 2 = 0.

3 + 2 =5.          5 1 = 4.

4 3 =1.          1 + 3 = 4.


Workbook Exercise 26(2): Use the numbers and signs to write a number sentence.

(a) 3, 10, 7, =, -

(b) 3, 7, 4, =, +

(c) 6, 6, 0, =, +

(d) 7, 9, 2, =, -

(e) 5, 3, 8, =, -

Solution:

(a)

10 7 = 3

10 3 = 7

(b)

3 + 4 = 7

4 + 3 = 7

(c)

0 + 6 = 6

6 + 0 = 6

(d)

9 7 = 2

9 2 = 7

(e)

8 5 = 3

8 3 = 5


5. Subtract 1 from 5.

Solution:

5 1 = 4

[1,2,3,4,5,6,..

Begin with 5 and count backwards 1 step: 4

Then we will get 4.

So, 5 1 = 4]


6. Subtract 2 from 7.

Solution:

7 2 = 5

[1,2,3,4,5,6,7,8..

Begin with 7 and count backward 2 steps: 6, 5

Then we will get 5.

So, 7 2 = 5]


7. Subtract 3 from 10.

Solution:

10 3 = 7

[5,6,7,8,9,10,.

Begin with 10 and count backward 3 steps: 9, 8, 7.

Then we will get 7.

So, 10 3 = 7]


8. Complete the subtraction sentence.


(a)

3 0 =

5 0 =

8 0 =

Solution:

3 0 = 3

5 0 = 5

8 0 = 8


(b)

4 1 =

7 1 =

9 1 =

Solution:

4 1 = 3

7 1 = 6

9 1 = 8


(c)

5 2 =

6 2 =

10 2 =

Solution:

5 2 = 3

6 2 = 4

10 2 = 8


(d)

5 3 =

8 3 =

9 3 =

Solution:

5 3 = 2

8 3 = 5

9 3 = 6


9. Complete the subtraction sentences.


(a)

5 5 =

5 4 =

5 3 =

Solution:

5 5 = 0

5 4 = 1

5 3 = 2


(b)

9 9 =

9 8 =

9 7 =

Solution:

9 9 = 0

9 8 = 1

9 7 = 2


(c)

3 2 =

6 5 =

9 8 =

Solution:

3 2 = 1

6 5 = 1

9 8 = 1


(d)

6 4 =

7 5 =

8 6 =

Solution:

6 4 = 2

7 5 = 2

8 6 = 2


10. Subtract 6 from 10.

Solution:

6 and 4 make 10.

  10

 ↙↘
6   4

So, 10 6 = 4.


11. Complete the subtraction sentences.


(a) 10 3 =              (b) 10 5 =

(c) 10 8 =              (d) 10 9 =

Solution:

(a) 10 3 = 7.             (b) 10 5 = 5.

(c) 10 8 = 2.             (d) 10 9 = 1.

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