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NCERT Solutions: Double Century

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 Page 1


1.  Look at the picture. Estimate 
and write the number of each 
of the following objects.
a. Oranges : ................
b. Bangles : ................
c. Laddoos : ................
d. Barfi : ................
e. Bindis : ................
f. Bananas : ................
3 3
Double Century Double Century
Let us Do
THE STORY OF OUR NUMBERS
Tens of thousands of years ago, people started counting. They wanted to 
keep records of their things. So they made marks on the walls of caves 
and on the barks of trees.
Over time, they kept records of their things by making groups of 5, 10, 
20, and 60. 
Thousands of years ago, the ancient Indians created a method for 
writing any number, however large, using only ten symbols: 0, 1, 2, 3, 
4, 5, 6, 7, 8, 9. It was one of the most ingenious and creative inventions 
in human history.  It made possible the invention of TVs, computers, 
mobile phones, and more. This method of writing numbers is now used 
everywhere in every country in the world.
A very important part of this invention was the introduction and use of 
the symbol “0” to mean “nothing”. It is the number 0 that really made 
this system of writing numerals work!
Over the next few months, we will learn how to write all numbers, however 
large, using just these ten symbols. 
21
84
28
22
83
36
Page 2


1.  Look at the picture. Estimate 
and write the number of each 
of the following objects.
a. Oranges : ................
b. Bangles : ................
c. Laddoos : ................
d. Barfi : ................
e. Bindis : ................
f. Bananas : ................
3 3
Double Century Double Century
Let us Do
THE STORY OF OUR NUMBERS
Tens of thousands of years ago, people started counting. They wanted to 
keep records of their things. So they made marks on the walls of caves 
and on the barks of trees.
Over time, they kept records of their things by making groups of 5, 10, 
20, and 60. 
Thousands of years ago, the ancient Indians created a method for 
writing any number, however large, using only ten symbols: 0, 1, 2, 3, 
4, 5, 6, 7, 8, 9. It was one of the most ingenious and creative inventions 
in human history.  It made possible the invention of TVs, computers, 
mobile phones, and more. This method of writing numbers is now used 
everywhere in every country in the world.
A very important part of this invention was the introduction and use of 
the symbol “0” to mean “nothing”. It is the number 0 that really made 
this system of writing numerals work!
Over the next few months, we will learn how to write all numbers, however 
large, using just these ten symbols. 
21
84
28
22
83
36
17
Maths Mela | Class 3
Answer the following on the basis of the Snakes and Ladders board:
1.  Which number will you reach if you take the ladder from 13? 
...................
2. If you are on the snake at number 25, which number 
will you reach? ...................
3. You are standing on 96. Which number on the die will 
take you to the snake's mouth? ...................
 
bundles and loose sticks. ...................
Fill the missing numbers on the board.
END
98 97 92
123 5 7
11
21 22 25 26 28
29
30
32
36
37 39
41
42
45 48 49
51
61 62 64 68 69
72 75
76
79
84
85
54
55 58
19 18 15
13
12
9
25 26 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
36
45
5
55
Let us Play
4. Show the number written on the tail of the longest snake using
4
6
8
10
16
17
20
24
23 27
31 33
34
35 38 40
43
44
46
47
50
52
53
56 57
59 60
63
65
66
67 70
71
73
74 77 78 80
81
82
83 86
87
88
89
90
91 93 94 95 96
99 100
50
2
3
done in the image
Page 3


1.  Look at the picture. Estimate 
and write the number of each 
of the following objects.
a. Oranges : ................
b. Bangles : ................
c. Laddoos : ................
d. Barfi : ................
e. Bindis : ................
f. Bananas : ................
3 3
Double Century Double Century
Let us Do
THE STORY OF OUR NUMBERS
Tens of thousands of years ago, people started counting. They wanted to 
keep records of their things. So they made marks on the walls of caves 
and on the barks of trees.
Over time, they kept records of their things by making groups of 5, 10, 
20, and 60. 
Thousands of years ago, the ancient Indians created a method for 
writing any number, however large, using only ten symbols: 0, 1, 2, 3, 
4, 5, 6, 7, 8, 9. It was one of the most ingenious and creative inventions 
in human history.  It made possible the invention of TVs, computers, 
mobile phones, and more. This method of writing numbers is now used 
everywhere in every country in the world.
A very important part of this invention was the introduction and use of 
the symbol “0” to mean “nothing”. It is the number 0 that really made 
this system of writing numerals work!
Over the next few months, we will learn how to write all numbers, however 
large, using just these ten symbols. 
21
84
28
22
83
36
17
Maths Mela | Class 3
Answer the following on the basis of the Snakes and Ladders board:
1.  Which number will you reach if you take the ladder from 13? 
...................
2. If you are on the snake at number 25, which number 
will you reach? ...................
3. You are standing on 96. Which number on the die will 
take you to the snake's mouth? ...................
 
bundles and loose sticks. ...................
Fill the missing numbers on the board.
END
98 97 92
123 5 7
11
21 22 25 26 28
29
30
32
36
37 39
41
42
45 48 49
51
61 62 64 68 69
72 75
76
79
84
85
54
55 58
19 18 15
13
12
9
25 26 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
36
45
5
55
Let us Play
4. Show the number written on the tail of the longest snake using
4
6
8
10
16
17
20
24
23 27
31 33
34
35 38 40
43
44
46
47
50
52
53
56 57
59 60
63
65
66
67 70
71
73
74 77 78 80
81
82
83 86
87
88
89
90
91 93 94 95 96
99 100
50
2
3
done in the image
18
Maths Mela | Class 3
Teacher’s Note: Encourage children to represent numbers with 
matchsticks in the form of bundles and loose sticks.
I said 42, Pot 
said 43
I am a talking Pot.
Tell me any number, and 
I will tell you the next.
I said 39, Pot 
said ........
I said ......, Pot 
said 90
I said 99, Pot 
said 100
I said ......, Pot 
said........
I said 63, Pot 
said ........
and one more    makes 100.
One more than 99 is 100.
10 bundles of 10 sticks each 
is 100 sticks 
What is
100? 
    
Oh, he scored a century. 
That is a 100 runs
    
    
    10 Packets of 10 bindis each 
makes 100.
Let Us Think
Let us Think
40
89
64
100
101
Page 4


1.  Look at the picture. Estimate 
and write the number of each 
of the following objects.
a. Oranges : ................
b. Bangles : ................
c. Laddoos : ................
d. Barfi : ................
e. Bindis : ................
f. Bananas : ................
3 3
Double Century Double Century
Let us Do
THE STORY OF OUR NUMBERS
Tens of thousands of years ago, people started counting. They wanted to 
keep records of their things. So they made marks on the walls of caves 
and on the barks of trees.
Over time, they kept records of their things by making groups of 5, 10, 
20, and 60. 
Thousands of years ago, the ancient Indians created a method for 
writing any number, however large, using only ten symbols: 0, 1, 2, 3, 
4, 5, 6, 7, 8, 9. It was one of the most ingenious and creative inventions 
in human history.  It made possible the invention of TVs, computers, 
mobile phones, and more. This method of writing numbers is now used 
everywhere in every country in the world.
A very important part of this invention was the introduction and use of 
the symbol “0” to mean “nothing”. It is the number 0 that really made 
this system of writing numerals work!
Over the next few months, we will learn how to write all numbers, however 
large, using just these ten symbols. 
21
84
28
22
83
36
17
Maths Mela | Class 3
Answer the following on the basis of the Snakes and Ladders board:
1.  Which number will you reach if you take the ladder from 13? 
...................
2. If you are on the snake at number 25, which number 
will you reach? ...................
3. You are standing on 96. Which number on the die will 
take you to the snake's mouth? ...................
 
bundles and loose sticks. ...................
Fill the missing numbers on the board.
END
98 97 92
123 5 7
11
21 22 25 26 28
29
30
32
36
37 39
41
42
45 48 49
51
61 62 64 68 69
72 75
76
79
84
85
54
55 58
19 18 15
13
12
9
25 26 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
36
45
5
55
Let us Play
4. Show the number written on the tail of the longest snake using
4
6
8
10
16
17
20
24
23 27
31 33
34
35 38 40
43
44
46
47
50
52
53
56 57
59 60
63
65
66
67 70
71
73
74 77 78 80
81
82
83 86
87
88
89
90
91 93 94 95 96
99 100
50
2
3
done in the image
18
Maths Mela | Class 3
Teacher’s Note: Encourage children to represent numbers with 
matchsticks in the form of bundles and loose sticks.
I said 42, Pot 
said 43
I am a talking Pot.
Tell me any number, and 
I will tell you the next.
I said 39, Pot 
said ........
I said ......, Pot 
said 90
I said 99, Pot 
said 100
I said ......, Pot 
said........
I said 63, Pot 
said ........
and one more    makes 100.
One more than 99 is 100.
10 bundles of 10 sticks each 
is 100 sticks 
What is
100? 
    
Oh, he scored a century. 
That is a 100 runs
    
    
    10 Packets of 10 bindis each 
makes 100.
Let Us Think
Let us Think
40
89
64
100
101
19
Maths Mela | Class 3
1. Fill in the blanks.
Bholu made 100 by jumping on 65 and then 35 more.
Make 100 by different jumps on this number line.
2.  Use matchstick bundles and a ginladi to make 100 in different 
ways. Fill the table below.
60 and 40 makes .............. 45 and ............. makes 100.
............. and 25 makes 100. ............. and 85 makes 100.
............. and ............. makes 100. ............. and ............. makes 100.
Making 100 Number sentence
            
    
70 and 30 makes 100
0 102030405060708090 100
0 102030405060708090 100
65
65
35
35
These beads are also 100 in number.
       
    
 
Let us Do
80 and 20 makes 100
50 and 50 makes 100
100
75
50 50
55
15
35 65
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FAQs on NCERT Solutions: Double Century

1. What does "double century" mean in mathematics for Class 3?
Ans. A double century refers to the number 200, which is twice 100. In Class 3 mathematics, students learn that 100 + 100 = 200, helping them understand place value, addition of hundreds, and building foundational numeral recognition skills through practical counting exercises.
2. How do I add numbers to reach 200 in CBSE Class 3 maths?
Ans. Adding numbers to reach 200 involves combining tens and hundreds systematically. Students learn to add two-digit and three-digit numbers by grouping ones, tens, and hundreds separately, then combining them. For example, 150 + 50 = 200 uses place value understanding and regrouping techniques taught in Class 3 arithmetic.
3. Why is understanding 200 important for Class 3 NCERT maths?
Ans. The number 200 represents a milestone in place value learning, bridging single and double-digit addition to three-digit numerals. Mastering this concept helps students grasp hundreds, skip counting by 100s, and prepares them for larger numerical operations. It strengthens mental arithmetic and number sense essential for Class 4 progression.
4. What are the different ways to make 200 using addition and subtraction?
Ans. Students can make 200 through multiple combinations: 100 + 100, 150 + 50, 180 + 20, 190 + 10, or using subtraction like 250 - 50 = 200. Exploring these varied decompositions of 200 develops flexible thinking and deepens understanding of number relationships and inverse operations in Class 3 mathematics.
5. How do skip counting and patterns help reach 200 in Class 3 maths?
Ans. Skip counting by 10s, 20s, or 50s creates patterns leading to 200. For instance, counting by 50s gives 50, 100, 150, 200. Recognising these patterns reinforces multiplication foundations, improves mental calculation speed, and makes reaching milestone numbers like 200 intuitive for Class 3 learners studying sequences and number patterns.
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