Students often refer to Kerala State Syllabus SCERT Class 5 Maths Solutions and Class 5 Maths Chapter 4 Division Methods Questions and Answers Notes Pdf to clear their doubts.
SCERT Class 5 Maths Chapter 4 Solutions Division Methods
Class 5 Maths Chapter 4 Division Methods Questions and Answers Kerala State Syllabus
Division Methods Class 5 Questions and Answers Kerala Syllabus
Question 1.
Total price of 7 pens of equal rate is 98 rupees. What’s the price of a pen?
Answer:
Thus, price of a pen =14 rupees
Question 2.
If 168 rupees is shared equally among 8 persons, how much will each get?
Answer:
Thus, each get 21 rupees.
Question 3.
The school store needs 1825 notebooks. How many packs of 25 notebooks, are to be bought?
Answer:
Thus, total number of packet is 73.
Question 4.
What are the numbers which leave remainder 0 on division by 2? And those that leave remainder 1?
Answer:
2 = (2 × 1) + 0
4 = (2 × 2) + 0
6 = (2 × 3) + 0
8 = (2 × 4) + 0
Thus, the numbers are 2, 4, 6, 8, 10
That is, the multiple of 2 which leave remainder 0 on division by 2.
3 = (2 × 1) + 1
5 = (2 × 2) + 1
7 = (2 × 3) + 1
9 = (2 × 4) + 1
Thus, the numbers are 3, 5, 7, 9
Question 5.
What are the possible remainders on dividing a number by 3? Write the pattern of numbers leaving the same remainder for each of these.
Answer:
3 = (3 × 1) + 0
4 = (3 × 1) + 1
5 = (3 × 1) + 2
6 = (3 × 2) + 0
7 = (3 × 2) + 1
8 = (3 × 2) + 2
Thus, the remainders on dividing a number by 3 are 0, 1 or 2.
Question 6.
See the way numbers are arranged below: 0 12 3 4
i. Is there any relation between the quotients on dividing the numbers in any one row by 5? And the remainders?
ii. What if numbers in any one column are divided by 5?
iii. What are the first and last numbers of the 10th row?
iv. What is the 4th number in the 12th row?
v. Which column and row does the number 123 belong to?
Answer:
i. On dividing any one of the row by 5 we get the quotient which leaves a remainder and the remainder are 0, 1, 2, 3 and 4.
ii. On dividing any one of the column by 5 we get the quotient with some reminder and the remainder will be same for a column.
That is,
For the first column the reminder will be 0 For the second column the reminder will be 1 For the third column the reminder will be 2 For the fourth column the reminder will be 3 For the fifth column the reminder will be 4
iii. First number of the 1st row is: 5 × 0 = 0
First number of the 2nd row is: 5 × 1 = 5
First number of the 3rd row is: 5 × 2 = 10
First number of the 4th row is: 5 × 3 = 15
Thus,
First number of the 10th row is: 5 × 9 = 45
Last number of the 1st row is: (5 × 0) + 4 = 4
Last number of the 2nd row is: (5 × 1) + 4 = 9
Last number of the 3rd row is: (5 × 2) + 4 = 14
Last number of the 4th row is: (5 × 3) + 4 = 19
Thus,
Last number of the 10th row is: (5 × 9) + 4 = 49
iv. Fourth number in every row have a reminder 3 Thus, the 4th number in the 12th row is:
(5 × 11) + 3 = 58
Here, the quotient is 24 and the remainder is 3.
Thus, 123 belongs to 4th column and 25th row.
Question 7.
Write each of the numbers as certain times 9 and a remainder
(a) 11 (b) 111 (c) 1111
i. Can you guess how 1111 is written like this? Check your guess by actual division.
ii. Write out this number pattern.
Answer:
The number can be written in certain times of 9 and a reminder as:
a) 11 = (9 × 1) + 2
b) 111 = (9 × 12) + 3
c) 1111 =(9 × 123) + 4
i.
Thus, we get the quotient 123 and the reminder 4
ii. (9 × 1) + 2= 11
(9 × 12) +3 = 111
(9 × 123)+ 4= 1111
(9 × 1234) + 5 = 11111
(9 × 12345) + 6= 111111
(9 × 123456) + 7 = 1111111
Question 8.
Write each of the numbers as certain times 8 and a remainder
(a) 9 (b) 98 (c) 987
i. Can you guess how 9876 is written like this? Check your guess by actual division.
ii. Write out this number pattern.
Answer:
The number can be written in certain times of 8 and a reminder as:
a) 9 = (8 × 1) + 1
b) 98 = (8 × 12) + 2
c) 987 = (8 × 123) + 3
i.
That is, 9876 divided by 8 gives quotient 1234, remainder 4. Thus, we can write 9876 as:
9876 = (8 × 1234) + 4
ii. (8 × 1) + 1 = 9
(8 × 12) + 2 = 98
(8 × 123) + 3 = 987
(8 × 1234) + 4 = 9876
(8 × 12345) + 5 = 98765
Intext Questions And Answers
Question 1.
How do we distribute 20 pieces of candy equally among 5 kids?
Answer:
Let’s give 5 candies to each one of them, then
- 1 each, then the total is 5 One more is given, then
- 2 each, then the total is two times of 5
i.e, 5 × 2 = 10
There are some more pieces left so - 3 each, then the total is three times of 5
i.e, 5 × 3 = 15
Still, there are some left so - 4 each, then the total is four times of 5
i.e, 5 × 4 = 20
Question 2.
If 20 is split into 5 equal, parts, how much would be each part?
Answer:
4
In math language, we can shorten this as:
The number obtained by dividing 20 by 5 is 4
Using math symbols, we can write it as:
20 ÷ 5 = 4
Question 3.
So, the questions on parts and division above can be rewritten as questions on times and multiplication.
Answer:
| Parts and Division | Times and Multiplication |
| If 20 is split into 5 equal parts, how much would each part be? | How many times of 5 makes 20? |
| What number do we get on dividing 20 by 5? | By what number should 5 be multiplied to get 20? |
| 20 ÷ 5 = 4 | 5 × 4 = 20 |
Question 4.
40 litres of water was filled in 8 bottles of the same size. How many litres of water will be there in each bottle?
Answer:
| Parts and Division | Times and Multiplication |
| If 40 is split into 8 equal parts, how much would each part be? | How many times of 8 makes 40? |
| What number do we get on dividing 40 by 8? | By what number should 8 be multiplied to get 40? |
| 40 ÷ 8 = 5 | 8 × 5 = 40 |
Question 5.
6 persons equally shared 48 kilograms of rice. How many kilograms did each get?
Answer:
| Parts and Division | Times and Multiplication |
| If 48 is split into 6 equal parts, how much would be each part? | How many times of 6 makes 48? |
| What number do we get on dividing 48 by 6? | By what number should 6 be multiplied to get 48? |
| 48 ÷ 6 = 8 | 6 × 8 = 48 |
Question 6.
If a rectangle is to be made with 30 dots where 5 dots in each row.
(i) When one rows are filled, how many dots are left?
Answer:
30 – 5 = 25
(ii) How many dots were used to fill four rows?
Answer:
20
(iii) How many more rows can be made?
Answer:
6
Here we compute as;
30 is the 6 times of 5.
That is, 5 × 6 = 30 In terms of parts,
If 30 is divided into parts of 5, there would be 6 parts.
This can also be stated as follows:
If 30 is divided into 5 equal parts, each part would be 6.
In terms of division:
75 ÷ 5 = 15
Without dots, we can compute this using numbers as:
Thus, the total number of rows is 6.
Question 7.
A rectangle is to be made with 96 dots, 6 dots in each row. How many rows can be made?
Answer:
Using boxes, we can calculate this as:
Using a box, we can do the calculations one by one as:
At the end, if you don’t remember 36 = 6 × 6, you can do like this:
Question 8.
If 3000 rupees is shared equally among 12 persons, how much will each get?
Answer:
Thus, each gets 250 rupees.
Question 9.
How can 21 pens be packed into packets of 5 ?
Answer:
We know,
20 ÷ 5 = 4
That is, there will be 4 packets and one pen left over.
In the language of math, we can say this as:
21 divided by 5 gives quotient 4 and remainder 1.
Thus,
Quotient shows the number of parts, into which we can split 21
Remainder shows the number that is left over.
In terms of multiplication, we can write it as:
21 = (5 × 4) + 1
Similarly,
22 = (5 × 4) + 2
23 = (5 × 4) + 3
24 = (5 × 4) + 4
In the case of 20,
20 = (5 × 4) + 0
This means, 20 divided by 5 gives quotient 4 and remainder 0 In the case of 4,
4 = (5 × 0) + 4
That is, 4 divided by 5 gives quotient 0, remainder 4 itself.
Thus, any number can be written as so many times 5 and a remainder; and the remainder in all cases will be one of the numbers 0, 1, 2, 3 or 4.
Thus, we can conclude this as:
Any number can be written as so many times a number other than zero, and a remainder; and the remainder will be less than the second number.
Class 5 Maths Chapter 4 Notes Kerala Syllabus Division Methods
Division is one of the basic arithmetic operations, it is necessary for many mathematical computations as well as daily tasks. It represents the method of dividing a group of things into equal parts. You were involved in the division if you have ever split a bill with friends or shared a pizza. The division can be represented by the symbol.
In this chapter, let’s study the division in more detail.
1. Parts and Division
If 12 is split into 3 equal parts, how much would each part be?
What number do we get on dividing 12 by 3?
ie, 12 ÷ 3 = 4
2. When 21 divided by 5 gives quotient 4 and remainder 1.
That is,
Quotient shows the number of parts, into which we can split 21
Remainder shows the number that is left over.
3. Any number can be written as so many times a number other than zero, and a remainder; and the remainder will be less than the second number.