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Maths Class 2

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.2

Download NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.2 –  Pair of Linear Equations in two Variables 

1. Form the pair of linear equations in the following problems and find their solutions graphically.

i. 10 student of class X took part in mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

ii. 5 pencils and 7 pens together cost ₹ 50 whereas 7 pencil and 5 pens together cost ₹ 46. Find the cost of one pencil and that of one pen.

[Read more…] about NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.2

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Addition of Three 3-digit numbers with Regrouping | Maths Grade 2

Addition of Three 3-digit numbers with Regrouping

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

7 + 5 + 6 = 18

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

2 + 4 + 5 + 1 = 12

Since the number is more than 9, we need to carry over 1 to the hundreds place.

Step 3: Adding the digits at hundreds place and carry 1,

3 + 2 + 2 + 1 = 8

Hence, the sum of the given numbers is 828

 

Example 2:- Add the following?

 

 

 

Step 1: Adding the digits at one’s place,

5 + 3 + 2 = 10

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

7 + 9 + 0 + 1 = 17

Since the number is more than 9, we need to carry over 1 to the hundreds place.

Step 3: Adding the digits at hundreds place and carry 1,

2 + 5 + 1 + 1 = 9

Hence, the sum of the given numbers is 970

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

5 + 2 + 5 = 12

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

8 + 7 + 2 + 1 = 18

Since the number is more than 9, we need to carry over 1 to the hundreds place.

Step 3: Adding the digits at hundreds place and carry 1,

2 + 4 + 2 + 1 = 9

Hence, the sum of the given numbers is 982

 

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Addition of Three 3-digit numbers Ones to Tens | Maths Grade 2

Addition of Three 3-digit numbers with Regrouping Ones to Tens

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

2 + 3 + 5 = 10

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

5 + 0 + 3 + 1 = 9

Step 3: Adding the digits at hundreds place,

6 + 1 + 2 = 9

Hence, the sum of the given numbers is 990

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

6 + 3 + 5 = 14

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

4 + 0 + 0 + 1 = 5

Step 3: Adding the digits at hundreds place,

3 + 2 + 3 = 8

Hence, the sum of the given numbers is 854

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

7 + 0 + 7 = 14

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

4 + 3 + 0 + 1 = 8

Step 3: Adding the digits at hundreds place,

1 + 2 + 1 = 4

Hence, the sum of the given numbers is 484

 

PRACTICE MORE QUESTIONS

 

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Addition of Three 3-digit numbers without Regrouping | Maths Grade 2

Addition of Three 3-digit numbers without Regrouping

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at ones place,

2 + 3 + 1 = 6

Step 2: Adding the digits at tens place,

3 + 2 + 4 = 9

Step 3: Adding the digits at hundreds place,

2 + 1 + 3 = 6

Hence, the sum of the given numbers is 696

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at ones place,

6 + 0 + 3 = 9

Step 2: Adding the digits at tens place,

5 + 4 + 0 = 9

Step 3: Adding the digits at hundreds place,

3 + 1 + 2 = 6

Hence, the sum of the given numbers is 699

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at ones place,

3 + 3 + 0 = 6

Step 2: Adding the digits at tens place,

2 + 1 + 6 = 9

Step 3: Adding the digits at hundreds place,

1 + 1 + 3 = 5

Hence, the sum of the given numbers is 596

 

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Addition of Three 2-digit numbers with Regrouping | Maths Grade 2

Addition of Three 2-digit numbers with Regrouping

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

3 + 3 + 4 = 10

Since the number is more than 9, we need to carry over 1 to the tens place.

 

Step 2: Adding the digits at tens place and the carry of 1,

2 + 1 + 2 + 1 = 6

Hence, the sum of the given numbers is 60

 

Example 2:- Add the following?

 

 

 

Step 1: Adding the digits at one’s place,

9 + 0 + 9 = 18

Since the number is more than 9, we need to carry over 1 to the tens place.

 

Step 2: Adding the digits at tens place and the carry of 1,

4 + 1 + 1 + 1 = 7

Hence, the sum of the given numbers is 78

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

7 + 9 + 3 = 19

Since the number is more than 9, we need to carry over 1 to the tens place.

Step 2: Adding the digits at tens place and the carry of 1,

5 + 2 + 1 + 1 = 9

Hence, the sum of the given numbers is 99

 

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Addition of Three 2-digit numbers without Regrouping | Maths Grade 2

Addition of Three 2-digit numbers without Regrouping

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at ones place,

2 + 3 + 2 = 7

 

Step 2: Adding the digits at tens place,

1 + 1 + 4 = 6

Hence, the sum of the given numbers is 67

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at ones place,

1 + 0 + 2 = 3

 

Step 2: Adding the digits at tens place,

2 + 5 + 1 = 8

Hence, the sum of the given numbers is 83

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at ones place,

4 + 1 + 1 = 6

 

Step 2: Adding the digits at tens place,

2 + 1 + 3 = 6

Hence, the sum of the given numbers is 66

 

PRACTICE MORE QUESTIONS

 

 

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Addition of 2-digit numbers with Regrouping | Maths Grade2

Addition of 2-digit numbers with Regrouping

 

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

6 + 6 = 12

Since the number is more than 9, we need to carry over 1 to the ten’s place

 

Step 2: Adding the digits at ten’s place and the carry of 1,

1 + 1 + 1 = 3

Hence, the sum of the given numbers is 32

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

6 + 8 = 14

Since the number is more than 9, we need to carry over 1 to the ten’s place

 

Step 2: Adding the digits at tens place and the carry of 1,

3 + 1 + 1 = 5

Hence, the sum of the given numbers is 54

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

2 + 9 = 11

Since the number is more than 9, we need to carry over 1 to the ten’s place.

 

Step 2: Adding the digits at tens place and the carry of 1,

4 + 1 + 1 = 6

Hence, the sum of the given numbers is 61

 

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Addition of Two 3-digit number with Regrouping | Maths Grade2

Addition of Two 3-digit number with Regrouping

 

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

3 + 8 = 11

Since the number is more than 9, we need to carry over 1 to the tens place.

 

Step 2: Adding the digits at tens place and the carry of 1,

5 + 2 + 1 = 8

 

Step 3: Adding the digits at hundred’s place,

3 + 2 = 5

Hence, the sum of the given numbers is 581

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

6 + 9 = 15

Since the number is more than 9, we need to carry over 1 to the tens place.

 

Step 2: Adding the digits at tens place and the carry of 1,

4 + 4 + 1 = 9

 

Step 3: Adding the digits at hundreds place

3 + 5 = 8

Hence, the sum of the given numbers is 895

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

9 + 1 = 10

Since the number is more than 9, we need to carry over 1 to the tens place.

 

Step 2: Adding the digits at tens place and the carry of 1,

0 + 9 + 1 = 10

 

Step 3: Adding the digits at hundreds place and the carry of 1,

5 + 3 + 1 = 9

Hence, the sum of the given numbers is 900

 

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Addition of Two 3-digit number without Regrouping | Maths Grade 2

Addition of Two 3-digit number without Regrouping

 

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

4 + 1 = 5

 

Step 2: Adding the digits at ten’s place

2 + 5 = 7

 

Step 3: Adding the digits at hundred’s place,

2 + 3 = 5

Hence, the sum of the given numbers is 575

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

8 + 1 = 9

 

Step 2: Adding the digits at ten’s place,

2 + 1 = 3

 

Step 3: Adding the digits at hundred’s place,

3 + 2 = 5

Hence, the sum of the given numbers is 539

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

5 + 4 = 9

 

Step 2: Adding the digits at ten’s place,

2 + 6 = 8

 

Step 3: Adding the digits at hundred’s place

1 + 6 = 7

Hence, the sum of the given numbers is 789

 

 

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Addition 3-digit and 2-digit numbers | without Regrouping | Maths Grade2

Addition 3-digit and 2-digit numbers without Regrouping

 

 

Example 1:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

6 + 2 = 8

 

Step 2: Adding the digits at ten’s place,

3 + 1 = 4

 

Step 3: Adding the digits at hundred’s place,

1 + 0 = 1

Hence, the sum of the given numbers is 148

 

 

Example 2:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

7 + 1 = 8

 

Step 2: Adding the digits at ten’s place,

2 + 2 = 4

 

Step 3: Adding the digits at hundred’s place,

2 + 0 = 2

Hence, the sum of the given numbers is 248

 

 

Example 3:- Add the following?

 

Explanation:

Step 1: Adding the digits at one’s place,

1 + 1 = 2

 

Step 2: Adding the digits at ten’s place,

2 + 3 = 5

 

Step 3: Adding the digits at hundred’s place,

2 + 0 = 2

Hence, the sum of the given numbers is 252

 

 

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