Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 1 - Number System [Latest edition]

## Chapter 1: Number System

Exercise 1.1Exercise 1.2Exercise 1.3Exercise 1.4Exercise 1.5
Exercise 1.1 [Page 4]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 1 Number SystemExercise 1.1 [Page 4]

Exercise 1.1 | Q 1. (i) | Page 4

Round the following decimals to the nearest whole number.

8.71

Exercise 1.1 | Q 1. (ii) | Page 4

Round the following decimals to the nearest whole number.

26.01

Exercise 1.1 | Q 1. (iii) | Page 4

Round the following decimals to the nearest whole number.

69.48

Exercise 1.1 | Q 1. (iv) | Page 4

Round the following decimals to the nearest whole number.

103.72

Exercise 1.1 | Q 1. (v) | Page 4

Round the following decimals to the nearest whole number.

49.84

Exercise 1.1 | Q 1. (vi) | Page 4

Round the following decimals to the nearest whole number.

101.35

Exercise 1.1 | Q 1. (vii) | Page 4

Round the following decimals to the nearest whole number.

39.814

Exercise 1.1 | Q 1. (viii) | Page 4

Round the following decimals to the nearest whole number.

1.23

Exercise 1.1 | Q 2. (i) | Page 4

Round the decimal number to the given place value.

5.992 to tenth place

Exercise 1.1 | Q 2. (ii) | Page 4

Round the decimal number to the given place value.

21.805 to hundredth place

Exercise 1.1 | Q 2. (iii) | Page 4

Round the decimal number to the given place value.

35.0014 to thousandth place

Exercise 1.1 | Q 3. (i) | Page 4

Round the following decimal numbers upto 1 places of decimal

123.37

Exercise 1.1 | Q 3. (ii) | Page 4

Round the following decimal numbers upto 1 places of decimal

19.99

Exercise 1.1 | Q 3. (iii) | Page 4

Round the following decimal numbers upto 1 places of decimal

910.546

Exercise 1.1 | Q 4. (i) | Page 4

Round the following decimal numbers upto 2 places of decimal.

87.755

Exercise 1.1 | Q 4. (ii) | Page 4

Round the following decimal numbers upto 2 places of decimal.

301.513

Exercise 1.1 | Q 4. (iii) | Page 4

Round the following decimal numbers upto 2 places of decimal.

79.997

Exercise 1.1 | Q 5. (i) | Page 4

Round the following decimal numbers upto 3 place of decimal

24.4003

Exercise 1.1 | Q 5. (ii) | Page 4

Round the following decimal numbers upto 3 place of decimal

1251.2345

Exercise 1.1 | Q 5. (iii) | Page 4

Round the following decimal numbers upto 3 place of decimal

61.00203

Exercise 1.2 [Pages 10 - 11]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 1 Number SystemExercise 1.2 [Pages 10 - 11]

Exercise 1.2 | Q 1 | Page 10

Add by using grid 0.51 + 0.25

Exercise 1.2 | Q 2. (i) | Page 10

Add the following by using place value grid.

25.8 + 18.53

Exercise 1.2 | Q 2. (ii) | Page 10

Add the following by using place value grid.

17.4 + 23.435

Exercise 1.2 | Q 3 | Page 10

Find the value of 0.46 – 0.13 by grid model

Exercise 1.2 | Q 4. (i) | Page 10

Subtract the following by using place value grid.

6.567 from 9.231

Exercise 1.2 | Q 4. (ii) | Page 10

Subtract the following by using place value grid.

3.235 from 7

Exercise 1.2 | Q 5 | Page 10

Simplify: 23.5 − 27.89 + 35.4 − 17

Exercise 1.2 | Q 6 | Page 10

Sulaiman bought 3.350 kg of Potato, 2.250 kg of Tomato and some onions. If the weight of the total items are 10.250 kg, then find the weight of onions?

Exercise 1.2 | Q 7 | Page 10

What should be subtracted from 7.1 to get 0.713?

Exercise 1.2 | Q 8 | Page 10

How much is 35.6 km less than 53.7 km?

Exercise 1.2 | Q 9 | Page 10

Akilan purchased a geometry box for ₹ 25.75, a pencil for ₹ 3.75 and a pen for ₹ 17.90. He gave ₹ 50 to the shopkeeper. What amount did he get back?

Exercise 1.2 | Q 10 | Page 10

Find the perimeter of an equilateral triangle with a side measuring 3.8 cm

#### Objective type questions

Exercise 1.2 | Q 11 | Page 10

1.0 + 0.83 = ?

• 0.17

• 0.71

• 1.83

• 1.38

Exercise 1.2 | Q 12 | Page 10

7.0 – 2.83 = ?

• 3.47

• 4.17

• 7.34

• 4.73

Exercise 1.2 | Q 13 | Page 11

Subtract 1.35 from 3.51

• 6.21

• 4.86

• 8.64

• 2.16

Exercise 1.2 | Q 14 | Page 11

Sum of two decimals is 4.78. If one decimal is 3.21, then the other one is

• 1.57

• 1.75

• 1.59

• 1.58

Exercise 1.2 | Q 15 | Page 11

The difference of two decimals is 86.58 and one of the decimal is 42.31 Find the other one

• 128.89

• 128.69

• 128.36

• 128.39

Exercise 1.3 [Pages 16 - 17]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 1 Number SystemExercise 1.3 [Pages 16 - 17]

Exercise 1.3 | Q 1. (i) | Page 16

Find the product of the following

0.5 × 3

Exercise 1.3 | Q 1. (ii) | Page 16

Find the product of the following

3.75 × 6

Exercise 1.3 | Q 1. (iii) | Page 16

Find the product of the following

50.2 × 4

Exercise 1.3 | Q 1. (iv) | Page 16

Find the product of the following

0.03 × 9

Exercise 1.3 | Q 1. (v) | Page 16

Find the product of the following

453.03 × 7

Exercise 1.3 | Q 1. (vi) | Page 16

Find the product of the following

4 × 0.7

Exercise 1.3 | Q 2 | Page 16

Find the area of the parallelogram whose base is 6.8 cm and height is 3.5 cm

Exercise 1.3 | Q 3 | Page 16

Find the area of the rectangle whose length is 23.7 cm and breadth is 15.2 cm

Exercise 1.3 | Q 4. (i) | Page 16

Multiply the following

2.57 × 10

Exercise 1.3 | Q 4. (ii) | Page 16

Multiply the following

0.51 × 10

Exercise 1.3 | Q 4. (iii) | Page 16

Multiply the following

125.367 × 100

Exercise 1.3 | Q 4. (iv) | Page 16

Multiply the following

34.51 × 100

Exercise 1.3 | Q 4. (v) | Page 16

Multiply the following

62.735 × 100

Exercise 1.3 | Q 4. (vi) | Page 16

Multiply the following

0.7 × 10

Exercise 1.3 | Q 4. (vii) | Page 16

Multiply the following

0.03 × 100

Exercise 1.3 | Q 4. (viii) | Page 16

Multiply the following

0.4 × 1000

Exercise 1.3 | Q 5 | Page 16

A wheel of a baby cycle covers 49.7 cm in one rotation. Find the distance covered in 10 rotations

Exercise 1.3 | Q 6 | Page 16

A picture chart costs ₹ 1.50. Radha wants to buy 20 charts to make an album. How much does she have to pay?

Exercise 1.3 | Q 7. (i) | Page 17

Find the product of the following.

3.6 × 0.3

Exercise 1.3 | Q 7. (ii) | Page 17

Find the product of the following.

52.3 × 0.1

Exercise 1.3 | Q 7. (iii) | Page 17

Find the product of the following.

537.4 × 0.2

Exercise 1.3 | Q 7. (iv) | Page 17

Find the product of the following.

0.6 × 0.06

Exercise 1.3 | Q 7. (v) | Page 17

Find the product of the following.

62.2 × 0.23

Exercise 1.3 | Q 7. (vi) | Page 17

Find the product of the following.

1.02 × 0.05

Exercise 1.3 | Q 7. (vii) | Page 17

Find the product of the following.

10.05 × 1.05

Exercise 1.3 | Q 7. (viii) | Page 17

Find the product of the following.

101.01 × 0.01

Exercise 1.3 | Q 7. (ix) | Page 17

Find the product of the following.

100.01 × 1.1

#### Objective type questions

Exercise 1.3 | Q 8 | Page 17

1.07 × 0.1 = ________

• 1.070

• 0.107

• 10.70

• 11.07

Exercise 1.3 | Q 9 | Page 17

2.08 × 10 = __________

• 20.8

• 208.0

• 0.208

• 280.0

Exercise 1.3 | Q 10 | Page 17

A frog jumps 5.3 cm in one jump. The distance travelled by the frog in 10 jumps is _________

• 0.53 cm

• 530 cm

• 53.0 cm

• 53.5 cm

Exercise 1.4 [Page 23]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 1 Number SystemExercise 1.4 [Page 23]

Exercise 1.4 | Q 1. (i) | Page 23

Simplify the following.

0.6 ÷ 3

Exercise 1.4 | Q 1. (ii) | Page 23

Simplify the following.

0.90 ÷ 5

Exercise 1.4 | Q 1. (iii) | Page 23

Simplify the following.

4.08 ÷ 4

Exercise 1.4 | Q 1. (iv) | Page 23

Simplify the following.

21.56 ÷ 7

Exercise 1.4 | Q 1. (v) | Page 23

Simplify the following.

0.564 ÷ 6

Exercise 1.4 | Q 1. (vi) | Page 23

Simplify the following.

41.36 ÷ 4

Exercise 1.4 | Q 1. (vii) | Page 23

Simplify the following.

298.2 ÷ 3

Exercise 1.4 | Q 2. (i) | Page 23

Simplify the following.

5.7 ÷ 10

Exercise 1.4 | Q 2. (ii) | Page 23

Simplify the following.

93.7 ÷ 10

Exercise 1.4 | Q 2. (iii) | Page 23

Simplify the following.

0.9 ÷ 10

Exercise 1.4 | Q 2. (iv) | Page 23

Simplify the following.

301.301 ÷ 10

Exercise 1.4 | Q 2. (v) | Page 23

Simplify the following.

0.83 ÷ 10

Exercise 1.4 | Q 2. (vi) | Page 23

Simplify the following.

0.062 ÷ 10

Exercise 1.4 | Q 3. (i) | Page 23

Simplify the following.

0.7 ÷ 100

Exercise 1.4 | Q 3. (ii) | Page 23

Simplify the following.

3.8 ÷ 100

Exercise 1.4 | Q 3. (iii) | Page 23

Simplify the following.

49.3 ÷ 100

Exercise 1.4 | Q 3. (iv) | Page 23

Simplify the following.

463.85 ÷ 100

Exercise 1.4 | Q 3. (v) | Page 23

Simplify the following.

0.3 ÷ 100

Exercise 1.4 | Q 3. (vi) | Page 23

Simplify the following.

27.4 ÷ 100

Exercise 1.4 | Q 4. (i) | Page 23

Simplify the following.

18.9 ÷ 1000

Exercise 1.4 | Q 4. (ii) | Page 23

Simplify the following.

0.87 ÷ 1000

Exercise 1.4 | Q 4. (iii) | Page 23

Simplify the following.

49.3 ÷ 1000

Exercise 1.4 | Q 4. (iv) | Page 23

Simplify the following.

0.3 ÷ 1000

Exercise 1.4 | Q 4. (v) | Page 23

Simplify the following.

382.4 ÷ 1000

Exercise 1.4 | Q 4. (vi) | Page 23

Simplify the following.

93.8 ÷ 1000

Exercise 1.4 | Q 5. (i) | Page 23

Simplify the following.

19.2 ÷ 2.4

Exercise 1.4 | Q 5. (ii) | Page 23

Simplify the following.

4.95 ÷ 0.5

Exercise 1.4 | Q 5. (iii) | Page 23

Simplify the following.

19.11 ÷ 1.3

Exercise 1.4 | Q 5. (iv) | Page 23

Simplify the following.

0.399 ÷ 2.1

Exercise 1.4 | Q 5. (v) | Page 23

Simplify the following.

5.4 ÷ 0.6

Exercise 1.4 | Q 5. (vi) | Page 23

Simplify the following.

2.197 ÷ 1.3

Exercise 1.4 | Q 6 | Page 23

Divide 9.55 kg of sweet among 5 children. How much will each child get?

Exercise 1.4 | Q 7 | Page 23

A vehicle covers a distance of 76.8 km for 1.2 litre of petrol. How much distance will it cover for one litre of petrol?

Exercise 1.4 | Q 8 | Page 23

Cost of levelling a land at the rate of ₹ 15.50 sq.ft is ₹ 10,075. Find the area of the land.

Exercise 1.4 | Q 9 | Page 23

The cost of 28 books are ₹ 1506.4. Find the cost of one book

Exercise 1.4 | Q 10 | Page 23

The product of two numbers is 40.376. One number is 14.42. Find the other number

#### Objective type questions

Exercise 1.4 | Q 11 | Page 23

5.6 ÷ 0.5 = ?

• 11.4

• 10.4

• 0.14

• 11.2

Exercise 1.4 | Q 12 | Page 23

2.01 ÷ 0.03 = ?

• 6.7

• 67.0

• 0.67

• 0.067

Exercise 1.4 | Q 13 | Page 23

0.05 ÷ 0.5 = ?

• 0.01

• 0.1

• 0.10

• 1.0

Exercise 1.5 [Pages 24 - 25]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 1 Number SystemExercise 1.5 [Pages 24 - 25]

#### Miscellaneous Practice problems

Exercise 1.5 | Q 1 | Page 24

Malini bought three ribbons of length 13.92 m, 11.5 m and 10.64 m. Find the total length of the ribbons?

Exercise 1.5 | Q 2 | Page 24

Chitra has bought 10 kg 35 g of ghee for preparing sweets. She used 8 kg 59 g of ghee. How much ghee will be left?

Exercise 1.5 | Q 3 | Page 24

If the capacity of a milk can is 2.53 l, then how much milk is required to fill 8 such cans?

Exercise 1.5 | Q 4 | Page 24

A basket of orange weighs 22.5 kg. If each family requires 2.5 kg of orange, how many families can share?

Exercise 1.5 | Q 5 | Page 24

A baker uses 3.924 kg of sugar to bake 10 cakes of equal size. How much sugar is used in each cake?

Exercise 1.5 | Q 6. (i) | Page 24

Evaluate: 26.13 × 4.6

Exercise 1.5 | Q 6. (ii) | Page 24

Evaluate: 3.628 + 31.73 – 2.1

Exercise 1.5 | Q 7 | Page 24

Murugan bought some bags of vegetables. Each bag weighs 20.55 kg. If the total weight of all the bags is 308.25 kg, how many bags did he buy?

Exercise 1.5 | Q 8 | Page 24

A man walks around a circular park of distance 23.761 m. How much distance will he cover in 100 rounds?

Exercise 1.5 | Q 9 | Page 24

How much 0.0543 is greater than 0.002?

Exercise 1.5 | Q 10 | Page 24

A printer can print 15 pages per minute. How many pages can it print in 4.6 minutes?

#### Challenge Problems

Exercise 1.5 | Q 11 | Page 24

The distance travelled by Prabhu from home to Yoga centre is 102 m and from Yoga centre to school is 165 m. What is the total distance travelled by him in kilometres (in decimal form)?

Exercise 1.5 | Q 12 | Page 24

Anbu and Mala travelled from A to C in two different routes. Anbu travelled from place A to place B and from there to place C. A is 8.3 km from B and B is 15.6 km from C. Mala travelled from place A to place D and from there to place C. D is 7.5 km from A and C is 16.9 km from D. Who travelled more and by how much distance?

Exercise 1.5 | Q 13 | Page 24

Ramesh paid ₹ 97.75 per hour for a taxi and he used 35 hours in a week. How much he has to pay totally as taxi fare for a week?

Exercise 1.5 | Q 14 | Page 25

An Aeroplane travelled 2781.20 km in 6 hours. Find the average speed of the aeroplane in km/hr.

Exercise 1.5 | Q 15 | Page 25

Kumar’s car gives 12.6 km mileage per litre. If his fuel tank holds 25.8 litres then how far can he travel?

## Chapter 1: Number System

Exercise 1.1Exercise 1.2Exercise 1.3Exercise 1.4Exercise 1.5

## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 1 - Number System

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 1 (Number System) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Class 7th Mathematics Term 3 Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 7th Mathematics Term 3 Answers Guide chapter 1 Number System are Concept of Decimal Numbers, Rounding of Decimals, Addition of Decimal Numbers, Subtraction of Decimals Fraction, Multiplication of Decimal Numbers, Multiplication of Decimal Numbers by 10, 100 and 1000, Division of Decimal Numbers, Division of Decimal Numbers by 10, 100 and 1000, Division of a Decimal Number by a Whole Number, Division of a Decimal Number by Another Decimal Number.

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