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Questions on Multiplying and Dividing by 9
Question 1:
Write the multiplication table of 9.
Solution:
The 9 times table is provided here.
9 x 0 = 0
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
9 x 9 = 81
9 x 10 = 90
9 x 11 = 99
9 x 12 = 108
9 x 13 = 117
9 x 14 = 126
9 x 15 = 135
9 x 16 = 144
9 x 17 = 153
9 x 18 = 162
9 x 19 = 171
9 x 20 = 180
Question 2:
Fill in the blanks:
(i) _ x 9 = 108
(ii) 72 ÷ _ = 8
(iii) 15 x _ = 135
(iv) 117 ÷ _ = 13
(v) 126 ÷ 9 = _
Solution:
(i) Given that,
_ x 9 = 108
As multiplication and division are inverse operations.
108 ÷ 9 = 12
So, 12 x 9 = 108
(ii) Given that,
72 ÷ _ = 8
72 ÷ 8 = 9
So, 72 ÷ 9 = 8
(iii) Given that,
15 x _ = 135
As multiplication and division are inverse operations.
135 ÷ 15 = 9
So, 15 x 9 = 135
(iv) Given that,
117 ÷ _ = 13
117 ÷ 13 = 9
So, 117 ÷ 9 = 13
(v) Given that,
126 ÷ 9 = _
9 x 14 = 126
So, 126 ÷ 9 = 14
Question 3:
Solve the following:
(i) 11 x 9
(ii) 5 x 9
(iii) 1 x 9
(iv) 16 x 9
(v) 21 x 9
Solution:
(i) Given that,
11 x 9
11 times 9 is 99
So, 11 x 9 = 99
(ii) Given that,
5 x 9
5 times 9 is 45
So, 5 x 9 = 45
(iii) Given that,
1 x 9
1 time 9 is 9.
So, 1 x 9 = 9
(iv) Given that,
16 x 9
16 times 9 is 144
So, 16 x 9 = 144
(v) Given that,
21 x 9
21 times 9 is 189
So, 21 x 9 = 189
Also, Check
Question 4:
Compute the below-mentioned division facts:
(i) 27 ÷ 9
(ii) 54 ÷ 9
(iii) 144 ÷ 9
(iv) 171 ÷ 9
(v) 99 ÷ 9
Solution:
(i) Given that,
27 ÷ 9
9 x 3 = 27
Therefore, 27 ÷ 9 = 3
(ii) Given that,
54 ÷ 9
9 x 6 = 54
Therefore, 54 ÷ 9 = 6
(iii) Given that,
144 ÷ 9
9 x 16 = 144
Therefore, 144 ÷ 9 = 16
(iv) Given that,
171 ÷ 9
9 x 19 = 171
Therefore, 171 ÷ 9 = 19
(v) Given that,
99 ÷ 9
9 x 11 = 99
Therefore, 99 ÷ 9 = 11.
Question 5:
State the 2 multiplication facts for each division fact:
(i) 90 ÷ 9
(ii) 36 ÷ 9
(iii) 63 ÷ 9
(iv) 153 ÷ 9
(v) 180 ÷ 9
Solution:
(i) Given division fact is 90 ÷ 9
90 ÷ 9 = 10
The multiplication facts are 9 x 10 = 90 and 10 x 9 = 90
(ii) Given division fact is 36 ÷ 9
36 ÷ 9 = 4
The multiplication facts are 9 x 4 = 36 and 4 x 9 = 36
(iii) Given division fact is 63 ÷ 9
63 ÷ 9 = 7
The multiplication facts are 9 x 7 = 63 and 7 x 9 = 63
(iv) Given division fact is 153 ÷ 9
153 ÷ 9 = 17
The multiplication facts are 9 x 17 = 153 and 17 x 9 = 153
(v) Given division fact is 180 ÷ 9
180 ÷ 9 = 20
The multiplication facts are 9 x 20 = 180 and 20 x 9 = 180
Question 6:
Write two division facts for each multiplication fact:
(i) 9 x 8
(ii) 9 x 12
(iii) 9 x 18
(iv) 9 x 23
(v) 9 x 15
Solution:
(i) Given multiplication fact is 9 x 8
9 x 8 = 72
The division facts are 72 ÷ 9 = 8, 72 ÷ 8 = 9
(ii) Given multiplication fact is 9 x 12
9 x 12 = 108
The division facts are 108 ÷ 9 = 12, 108 ÷ 12 = 9
(iii) Given multiplication fact is 9 x 18
9 x 18 = 162
The division facts are 162 ÷ 9 = 18, 162 ÷ 18 = 9
(iv) Given multiplication fact is 9 x 23
9 x 23 = 207
The division facts are 207 ÷9 = 23, 207 ÷ 23 = 9
(v) Given multiplication fact is 9 x 15
9 x 15 = 135
The division facts are 135 ÷ 9 = 15, 135 ÷15 = 9
Question 7:
A pencil box has 9 pencils. Sharon bought 4 such pencil boxes. How many pencils did Sharon have?
Solution:
The number of pencils in each box = 9
The number of pencil boxes = 4
The total number of pencils = 9 x 4
= 36
Therefore, Sharon has exactly 36 pencils.
Question 8:
Meghana counted the crayons and found that she has 126 crayons which she will place in crayon boxes. Every crayon box can have 9 crayons. How many crayon boxes does she need?
Solution:
The total number of crayons = 126
The number of crayons in every box = 9
The number of crayon boxes required = 126 ÷ 9
= 14
Therefore, Meghana needs 14 crayon boxes to place 126 crayons in boxes.