Grouping and Sharing (Multiplication and Division)
CBSE · Class 2 · Mathematics
NCERT Solutions for Grouping and Sharing (Multiplication and Division) — CBSE Class 2 Mathematics.
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Let us Do — Bicycles, Autorickshaws and Cars
1There are 4 bicycles. Each bicycle has 2 wheels. Find the total number of wheels.Show solution
Total wheels =
We are adding 2 four times, so:
Total wheels = 8
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2Number of autorickshaws = 2. Each auto has 3 wheels. Find the total wheels.Show solution
Total wheels =
Total wheels = 6
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3Let us do it for cars. (There are 7 cars, each with 4 wheels.) Fill in the blanks.Show solution
Total wheels =
We are adding 4 seven times.
7 times 4 is 28
7 groups of 4 is 28
How many fours are you adding? 7
We can write it as: 7 fours are 28.
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Let us Do — Butterflies, Octopuses and Soldiers
1Fill in the blanks for butterflies. (There are 3 butterflies, each with 2 wings.)Show solution
Number of wings in each butterfly = 2
Total number of wings =
or 3 groups of 2 is 6
3 times 2 is 6
3 twos are 6
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2Fill in the blanks for octopuses. (There are 2 octopuses, each with 8 legs.)Show solution
Number of legs in each octopus = 8
Total number of legs =
2 groups of 8 is 16
2 times 8 is 16
2 eights are 16
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3Fill in the blanks for soldiers. (There are 4 lines of soldiers, each line has 10 soldiers.)Show solution
Number of soldiers in each line = 10
Total number of soldiers =
4 times 10 is 40
4 tens are 40
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Match the Following
1Match each addition expression with its description and value:
-
-
-
-
-
-
Descriptions: 7 fives are, 4 groups of 10, , , 2 sevens are, 5 times 3
Values: 27, 35, 40, 14, 15, 24Show solution
→ This is → 27
→ This is 7 fives are → 35
→ This is 5 times 3 → 15
→ This is 4 groups of 10 → 40
→ This is → 24
→ This is 2 sevens are → 14
Matches:
- ↔ ↔ 27
- ↔ 7 fives are ↔ 35
- ↔ 5 times 3 ↔ 15
- ↔ 4 groups of 10 ↔ 40
- ↔ ↔ 24
- ↔ 2 sevens are ↔ 14
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Complete the Table of 2
1Complete the multiplication table of 2 up to 10.Show solution
| Dots | Words | Multiplication |
|------|-------|----------------|
| ●● ●● | 2 ones are 2 | |
| ●●● ●●● | 2 twos are 4 | |
| ●●●● ●●●● | 2 threes are 6 | |
| | 2 fours are 8 | |
| | 2 fives are 10 | |
| | 2 sixes are 12 | |
| | 2 sevens are 14 | |
| | 2 eights are 16 | |
| | 2 nines are 18 | |
| | 2 tens are 20 | |
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Complete the Table of 3
1Complete the multiplication table of 3 up to 10.Show solution
| Words | Multiplication |
|-------|----------------|
| 3 ones are 3 | |
| 3 twos are 6 | |
| 3 threes are 9 | |
| 3 fours are 12 | |
| 3 fives are 15 | |
| 3 sixes are 18 | |
| 3 sevens are 21 | |
| 3 eights are 24 | |
| 3 nines are 27 | |
| 3 tens are 30 | |
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Complete the Table of 5
1Complete the multiplication table of 5 up to 10.Show solution
| Words | Multiplication |
|-------|----------------|
| 5 ones are 5 | |
| 5 twos are 10 | |
| 5 threes are 15 | |
| 5 fours are 20 | |
| 5 fives are 25 | |
| 5 sixes are 30 | |
| 5 sevens are 35 | |
| 5 eights are 40 | |
| 5 nines are 45 | |
| 5 tens are 50 | |
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Complete the Table of 10
1Complete the multiplication table of 10 up to 10.Show solution
| Words | Multiplication |
|-------|----------------|
| 10 ones are 10 | |
| 10 twos are 20 | |
| 10 threes are 30 | |
| 10 fours are 40 | |
| 10 fives are 50 | |
| 10 sixes are 60 | |
| 10 sevens are 70 | |
| 10 eights are 80 | |
| 10 nines are 90 | |
| 10 tens are 100 | |
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How Many? — Bouquets and Gulab Jamuns
1Ram made 4 bouquets with 3 flowers each. Gopal made 3 bouquets with 4 flowers each. How many flowers did each use? What do you observe?Show solution
Gopal: 3 groups of 4 flowers → flowers.
Observation: Even though the groups are arranged differently, the total is the same. . This shows that the order of multiplication does not change the answer (Commutative Property of Multiplication).
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2Fill in the blanks:
(i) 4 groups of 5 gulab jamuns: __ times 5 is __, __, there are __ gulab jamuns.
(ii) 5 groups of 4 gulab jamuns: __ times 4 is __, __, there are __ gulab jamuns.Show solution
4 times 5 is 20
There are 20 gulab jamuns.
(ii) 5 groups of 4:
5 times 4 is 20
There are 20 gulab jamuns.
Observation:
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3Fill in the blanks:
(i) 6 groups of 4 flowers: __ times 4 is __, __, there are __ flowers.
(ii) 4 groups of 6 flowers: __ times 6 is __, __, there are __ flowers.Show solution
6 times 4 is 24
There are 24 flowers.
(ii) 4 groups of 6:
4 times 6 is 24
There are 24 flowers.
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Word Problems — How Many?
AThere are 8 packets of bindis. Each packet has 5 bindis. How many bindis are there in all?Show solution
Number of packets = 8
Number of bindis in each packet = 5
8 groups of 5 bindis.
There are 40 bindis in all.
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BBharti puts 4 buttons on each shirt. She wants to put buttons on 7 shirts. How many buttons does she need?Show solution
Number of shirts = 7
Number of buttons on each shirt = 4
7 groups of 4 buttons.
Bharti needs 28 buttons.
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Making Multiplication Table — Table of 6 from Table of 3
Table of 3 (top row): 3, 6, ☐, 12, ☐, ☐, 21, ☐, ☐, 30
Second row (Table of 3 again): 3, ☐, 9, ☐, ☐, 18, ☐, 24, ☐, ☐
Table of 6 (bottom row): 6, ☐, ☐, ☐, ☐, ☐, ☐, ☐, ☐, ☐
Making Multiplication Table — Table of 8 from Tables of 2 and 6
Table of 2: 2, 4, ☐, ☐, 10, ☐, 14, ☐, 18, 20
Table of 6: 6, ☐, ☐, ☐, ☐, 36, ☐, 48, ☐, ☐
Table of 8: 8, ☐, ☐, ☐, ☐, ☐, ☐, ☐, ☐, ☐
Project Work — Arrays with 24 Objects
Sharing — Gulab Jamuns
Let us Do — Sharing Activities
Let us Make — Division Problems
16 more solved questions in Grouping and Sharing (Multiplication and Division)
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- National Education Policy 2020 — education.gov.in
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