#### Chapters

Chapter 2: Measurements

Chapter 3: Algebra

Chapter 4: Geometry

Chapter 5: Information Processing

## Chapter 1: Number System

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board Chapter 1 Number System Exercise 1.1 [Pages 8 - 9]

Write the decimal numbers for the following pictorial representation of numbers

Write the decimal numbers for the following pictorial representation of numbers

Express the following in cm using decimal

5 mm

Express the following in cm using decimal

9 mm

Express the following in cm using decimal

42 mm

Express the following in cm using decimal

8 cm 9 mm

Express the following in cm using decimal

375 mm

Express the following in metres using decimal

16 cm

Express the following in metres using decimal

7 cm

Express the following in metres using decimal

43 cm

Express the following in metres using decimal

6 m 6 cm

Express the following in metres using decimal

2 mm 54 cm

Expand the following decimal numbers

37.3

Expand the following decimal numbers

658.37

Expand the following decimal numbers

237.6

Expand the following decimal numbers

5678.358

Express the following decimal numbers in place value grid and write the place value of the underlined digit

53.61

Express the following decimal numbers in place value grid and write the place value of the underlined digit

263.271

Express the following decimal numbers in place value grid and write the place value of the underlined digit

17.39

9.657

4972.068

#### Objective type questions

The place value of 3 in 85.073 is ________

tenths

hundredths

thousands

thousandths

To convert grams into kilograms, we have to divide it by

10000

1000

100

10

The decimal representation of 30 kg and 43 g is ______ kg

30.43

30.430

30.043

30.0043

A cricket pitch is about 264 cm wide. It is equal to ______ m.

26.4

2.64

0.264

0.0264

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board Chapter 1 Number System Exercise 1.2 [Pages 13 - 14]

Fill in the following place value table.

S.No. |
Decimal form |
Hundreds (100) |
Tens (10) |
Ones (1) |
Tenths `(1/10)` |
Hundredths `(1/100)` |
Thousandths `(1/1000)` |

1. |
320.157 | 3 | ___ | 0 | 1 | 5 | 7 |

2. |
103.709 | 1 | 0 | 3 | ___ | 0 | 9 |

3. |
4.003 | 0 | 0 | 4 | 0 | ___ | ___ |

4. |
360.805 | 3 | ___ | ___ | 8 | 0 | ___ |

Write the decimal numbers from the following place value table.

S.No. |
Hundreds (100) |
Tens (10) |
Ones (1) |
Tenths `(1/10)` |
Hundredths `(1/100)` |
Thousandths `(1/1000)` |
Decimal form |

1. |
8 | 0 | 1 | 5 | 6 | 2 | ____ |

2. |
9 | 3 | 2 | 0 | 5 | 6 | ____ |

3. |
0 | 4 | 7 | 5 | 0 | 9 | ____ |

4. |
5 | 0 | 3 | 0 | 0 | 7 | ____ |

5. |
6 | 8 | 0 | 3 | 1 | 0 | ____ |

6. |
1 | 0 | 9 | 9 | 0 | 8 | ____ |

Write the following decimal numbers in the place value table

25.178

Write the following decimal numbers in the place value table

0.025

Write the following decimal numbers in the place value table

428.001

Write the following decimal numbers in the place value table

173.178

Write the following decimal numbers in the place value table

19.54

Write the following as decimal numbers

`20 + 1 + 2/10 + 3/100 + 7/1000`

Write the following as decimal numbers

`3 + 8/10 + 4/100 + 5/1000`

Write the following as decimal numbers

`6 + 0/10 + 0/100 + 9/1000`

Write the following as decimal numbers

`900 + 50 + 6 + 3/100`

Write the following as decimal numbers

`6/10 + 3/100 + 1/1000`

Convert the following fractions into decimal numbers

`3/10`

Convert the following fractions into decimal numbers

`3 1/2`

Convert the following fractions into decimal numbers

`3 3/5`

Convert the following fractions into decimal numbers

`3/2`

Convert the following fractions into decimal numbers

`4/5`

Convert the following fractions into decimal numbers

`99/100`

Convert the following fractions into decimal numbers

`3 19/25`

Write the following decimals as fractions

2.5

Write the following decimals as fractions

6.4

Write the following decimals as fractions

0.75

Express the following decimals as fractions in lowest form

2.34

Express the following decimals as fractions in lowest form

0.18

Express the following decimals as fractions in lowest form

3.56

#### Objective type questions

`3 + 4/100 + 9/1000` = ?

30.49

3049

3.0049

3.049

`3/5` = _________

0.06

0.006

6

0.6

The simplest form of 0.35 is

`35/1000`

`35/10`

`7/20`

`7/100`

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board Chapter 1 Number System Exercise 1.3 [Pages 16 - 17]

Compare the following decimal numbers and find out the smaller number

2.08, 2.086

Compare the following decimal numbers and find out the smaller number

0.99, 1.9

Compare the following decimal numbers and find out the smaller number

3.53, 3.35

Compare the following decimal numbers and find out the smaller number

5.05, 5.50

Compare the following decimal numbers and find out the smaller number

123.5, 12.35

Arrange the following in ascending order

2.35, 2.53, 5.32, 3.52, 3.25

Arrange the following in ascending order

123.45, 123.54, 125.43, 125.34, 125.3

Compare the following decimal numbers and find the greater number

24.5, 20.32

Compare the following decimal numbers and find the greater number

6.95, 6.59

Compare the following decimal numbers and find the greater number

17.3, 17.8

Compare the following decimal numbers and find the greater number

235.42, 235.48

Compare the following decimal numbers and find the greater number

0.007, 0.07

Compare the following decimal numbers and find the greater number

4.571, 4.578

Arrange the given decimal numbers in descending order

17.35, 71.53, 51.73, 73.51, 37.51

Arrange the given decimal numbers in descending order

456.73, 546.37, 563.47, 745.63, 457.71

#### Objective type questions

0.009 is equal to

0.90

0.090

0.00900

0.900

37.70 `square` 37.7

=

<

>

≠

78.56 `square` 78.57

<

>

=

≠

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board Chapter 1 Number System Exercise 1.4 [Page 18]

Write the decimal numbers represented by the points P, Q, R and S on the given number line

Represent the following decimal numbers on the number line

1.7

Represent the following decimal numbers on the number line

0.3

Represent the following decimal numbers on the number line

2.1

Between which two whole numbers, the following decimal number lies?

3.3

Between which two whole numbers, the following decimal number lies?

2.5

Between which two whole numbers, the following decimal number lies?

0.9

Find the greater decimal number in the following.

2.3, 3.2

Find the greater decimal number in the following.

5.6, 6.5

Find the greater decimal number in the following.

1.2, 2.1

Find the smaller decimal number in the following.

25.3, 25.03

Find the smaller decimal number in the following.

7.01, 7.3

Find the smaller decimal number in the following.

5.6, 6.05

#### Objective type questions

Between which two whole numbers 1.7 lie?

2 and 3

3 and 4

1 and 2

1 and 7

The decimal number which lies between 4 and 5 is ______

4.5

2.9

1.9

3.5

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board Chapter 1 Number System Exercise 1.5 [Pages 18 - 19]

#### Miscellaneous Practice problems

Write the following decimal numbers in the place value table

247.36

Write the following decimal numbers in the place value table

132.105

Write the following as decimal number.

`300 + 5 + 7/10 + 9/100 + 2/100`

Write the following as decimal number.

`1000 + 400 + 30 + 2 + 6/10 + 7/100`

Which is greater?

0.888 or 0.28

Which is greater?

23.914 or 23.915

In a 25 m swimming competition, the time taken by 5 swimmers A, B, C, D and E are 15.7 seconds, 15.68 seconds, 15.6 seconds, 15.74 seconds and 15.67 seconds respectively. Identify the winner

Convert the following decimal numbers into fractions

23.4

Convert the following decimal numbers into fractions

46.301

Express the following in kilometres using decimal

256 m

Express the following in kilometres using decimal

4567 m

There are 26 boys and 24 girls in a class. Express the fraction of boys and girls as decimal numbers

#### Challenge Problems

Write the following amount using decimal

809 rupees 99 paise

Write the following amount using decimal

147 rupees 70 paise

Express the following in metres using decimal

1328 cm

Express the following in metres using decimal

419 cm

Express the following using decimal notation

8 m 30 cm in metres

Express the following using decimal notation

24 km 200 m in kilometres

Write the following fractions as decimal number

`23/10000`

Write the following fractions as decimal number

`421/100`

Write the following fractions as decimal number

`37/10`

Convert the following decimals into fractions and reduce them to the lowest form

2.125

Convert the following decimals into fractions and reduce them to the lowest form

0.0005

Represent the decimal numbers 0.07 and 0.7 on a number line

Write the following decimal numbers in words

4.9

Write the following decimal numbers in words

220.0

Write the following decimal numbers in words

0.7

Write the following decimal numbers in words

86.3

Between which two whole numbers the given number lies?

0.2

Between which two whole numbers the given number lies?

3.4

Between which two whole numbers the given number lies?

3.9

Between which two whole numbers the given number lies?

2.7

Between which two whole numbers the given number lies?

1.7

Between which two whole numbers the given number lies?

1.3

By how much is `9/10` km less than 1 km. Express the same in decimal form

## Chapter 1: Number System

## Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board chapter 1 - Number System

Samacheer Kalvi solutions for Mathematics Term 2 - Class 7th Tamil Nadu State Board 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 Mathematics Term 2 - Class 7th Tamil Nadu State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics Term 2 - Class 7th Tamil Nadu State Board chapter 1 Number System are Concept of Decimal Numbers, Concept of Tenths, Hundredths and Thousandths in Decimal, Place Value in the Context of Decimal Fraction., Interconversion of Fraction and Decimal, Comparing Decimal Numbers, Representing Decimals on the Number Line.

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