Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 6th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide chapter 1 - Numbers [Latest edition]

## Chapter 1: Numbers

Exercise 1.1Exercise 1.2Exercise 1.3Exercise 1.4Exercise 1.5Exercise 1.6
Exercise 1.1 [Pages 8 - 9]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 1 Numbers Exercise 1.1 [Pages 8 - 9]

#### Fill in the blanks

Exercise 1.1 | Q 1. (i) | Page 8

The smallest 7 digit number is _____________

Exercise 1.1 | Q 1. (ii) | Page 8

The largest 8 digit number is ____________

Exercise 1.1 | Q 1. (iii) | Page 8

The place value of 5 in 7005380 is ____________

Exercise 1.1 | Q 1. (iv) | Page 8

The expanded form of the number 76,70,905 is ___________

#### Say True or False

Exercise 1.1 | Q 2. (i) | Page 8

Successor of a one-digit number is always a one-digit number

• True

• False

Exercise 1.1 | Q 2. (ii) | Page 8

Predecessor of a 3-digit number is always a 3 or 4-digit number

• True

• False

Exercise 1.1 | Q 2. (iii) | Page 8

In the Indian System of Numeration the number 67999037 is written as 6,79,99,037

• True

• False

Exercise 1.1 | Q 2. (iv) | Page 8

88,888 = 8 × 10000 + 8 × 100 + 8 × 10 + 8 × 1

• True

• False

Exercise 1.1 | Q 3 | Page 9

How many ten thousand are there in the smallest 6 digit number?

Exercise 1.1 | Q 4. (i) | Page 9

Observe the commas and write down the place value of 7.

56,74,56,345

Exercise 1.1 | Q 4. (ii) | Page 9

Observe the commas and write down the place value of 7.

567,456,345

Exercise 1.1 | Q 5. (i) | Page 9

Write the following numbers in the International System by using commas.

347056

Exercise 1.1 | Q 5. (ii) | Page 9

Write the following numbers in the International System by using commas.

7345671

Exercise 1.1 | Q 5. (iii) | Page 9

Write the following numbers in the International System by using commas.

634567105

Exercise 1.1 | Q 5. (iv) | Page 9

Write the following numbers in the International System by using commas.

1234567890

Exercise 1.1 | Q 6 | Page 9

Write the largest six digit number and put commas in the Indian and the International System

Exercise 1.1 | Q 7. (i) | Page 9

Write the number names of the following numerals in the Indian System

75,32,105

Exercise 1.1 | Q 7. (ii) | Page 9

Write the number names of the following numerals in the Indian System

9,75,63,453

Exercise 1.1 | Q 8. (i) | Page 9

Write the number names in words using the International System

345,678

Exercise 1.1 | Q 8. (ii) | Page 9

Write the number names in words using the International System

8,343,710

Exercise 1.1 | Q 8. (iii) | Page 9

Write the number names in words using the International System

103,456,789

Exercise 1.1 | Q 9. (i) | Page 9

Write the number name in numerals.

Two crores thirty lakhs fifty one thousand nine hundred eighty

Exercise 1.1 | Q 9. (ii) | Page 9

Write the number name in numerals.

Sixty six millions three hundred forty five thousand twenty-seven

Exercise 1.1 | Q 9. (iii) | Page 9

Write the number name in numerals.

Seven hundred eighty nine millions, two hundred thirteen thousand four hundred fifty six

Exercise 1.1 | Q 10 | Page 9

Tamil Nadu has about twenty-six thousand three hundred forty-five square kilometre of Forest land. Write the number mentioned in the statement in Indian System and International System

Exercise 1.1 | Q 11 | Page 9

The number of employees in the Indian Railways is about ten lakhs. Write this in the International System of numeration

#### Objective Type Questions

Exercise 1.1 | Q 12 | Page 9

The successor of 10 million is

• 1000001

• 10000001

• 9999999

• 100001

Exercise 1.1 | Q 13 | Page 9

The difference between the successor and the predecessor of 99999 is

• 90000

• 1

• 2

• 99001

Exercise 1.1 | Q 14 | Page 9

1 billion is equal to

• 100 crore

• 100 million

• 100 lakh

• 10000 lakh

Exercise 1.1 | Q 15 | Page 9

The expanded form of the number 6,70,905 is

• 6 × 10000 + 7 × 1000 + 9 × 100 + 5 × 1

• 6 × 10000 + 7 × 1000 + 0 × 100 + 9 × 100 + 0 × 10 + 5 × 1

• 6 × 1000000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1

• 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1

Exercise 1.2 [Pages 13 - 14]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 1 Numbers Exercise 1.2 [Pages 13 - 14]

#### Fill in the blanks

Exercise 1.2 | Q 1. (i) | Page 13

Fill in the blank with > or < or =.

48792 _______ 48972

Exercise 1.2 | Q 1. (ii) | Page 13

Fill in the blank with > or < or =.

1248654 ________ 1246854

Exercise 1.2 | Q 1. (iii) | Page 13

Fill in the blank with > or < or =.

658794 _______ 658794

#### Say True or False

Exercise 1.2 | Q 2. (i) | Page 13

The difference between the smallest number of seven digits and the largest number of six digits is 10

• True

• False

Exercise 1.2 | Q 2. (ii) | Page 13

The largest 4 digit number formed by the digits 8, 6, 0, 9 using each digit only once is 9086

• True

• False

Exercise 1.2 | Q 2. (iii) | Page 13

The total number of 4 digit number is 9000

• True

• False

Exercise 1.2 | Q 3 | Page 13

In the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

Exercise 1.2 | Q 4 | Page 13

Arrange the following numbers in the descending order:

128435, 10835, 21354, 6348, 25840

Exercise 1.2 | Q 5 | Page 13

Write any eight-digit number with 6 in ten lakhs place and 9 in ten-thousandth place

Exercise 1.2 | Q 6 | Page 13

Rajan writes a 3-digit number, using the digits 4, 7 and 9. What are the possible numbers he can write?

Exercise 1.2 | Q 7 | Page 13

The password to access my ATM card includes the digits 9, 4, 6 and 8. It is the smallest 4 digit even number. Find the password of my ATM Card

Exercise 1.2 | Q 8 | Page 13

Postal Index Number consists of six digits. The first three digits are 6, 3, and 1. Make the largest and the smallest Postal Index Number by using the digits 0, 3 and 6, each only once

Exercise 1.2 | Q 9 | Page 14

The heights (in metres) of the mountains in Tamil Nadu are as follows:

 SI. No Mountains Height (in metres) 1 Doddabetta 2637 2 Mahendragiri 1647 3 Anamudi 2695 4 Velliangiri 1778

(i) Which is the highest mountain listed above?
(ii) Order the mountains from the highest to the lowest.
(iii) What is the difference between the heights of the mountains Anamudi and Mahendragiri?

#### Objective Type Questions

Exercise 1.2 | Q 10 | Page 14

Which list of numbers is in order from the smallest to the largest?

• 1468, 1486, 1484

• 2345, 2435, 2235

• 134205, 134208, 154203

• 383553, 383548, 383642

Exercise 1.2 | Q 11 | Page 14

The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?

• 1489000 and 1492540

• 1489000 and 1490540

• 1490000 and 1490100

• 1480000 and 1490000

Exercise 1.2 | Q 12 | Page 14

The chart below shows the number of newspapers sold as per Indian Readership Survey in 2018. Which could be the missing number in the table?

 Name of the Newspaper Ranking Sold (in lakh) A 1 70 B 2 50 C 3 ? D 4 10
• 8

• 52

• 77

• 26

Exercise 1.3 [Pages 17 - 18]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 1 Numbers Exercise 1.3 [Pages 17 - 18]

#### Fill in the blanks

Exercise 1.3 | Q 1. (i) | Page 17

If Arulmozhi saves ₹ 12 per day, then she saves ₹ ______ in 30 days.

Exercise 1.3 | Q 1. (ii) | Page 17

If a person ‘A’ earns ₹ 1800 in 12 days, then he earns ₹ _________ in a day

Exercise 1.3 | Q 1. (iii) | Page 17

45 ÷ (7 + 8) – 2 = _________

#### Say True or False

Exercise 1.3 | Q 2. (i) | Page 17

3 + 9 × 8 = 96

• True

• False

Exercise 1.3 | Q 2. (ii) | Page 17

7 × 20 – 4 = 136

• True

• False

Exercise 1.3 | Q 2. (iii) | Page 17

40 + (56 – 6) ÷ 2 = 45

• True

• False

Exercise 1.3 | Q 3 | Page 17

The number of people who visited the Public Library for the past 5 months were 1200, 2000, 2450, 3060 and 3200 respectively. How many people visited the library in the last 5 months

Exercise 1.3 | Q 4 | Page 17

Cheran had a bank savings of ₹ 7,50,250. He withdraw ₹ 5,34,500 for educational purpose. Find the balance amount in his account

Exercise 1.3 | Q 5 | Page 17

In a cycle factory, 1560 bicycles were manufactured every day. Find the number of bicycles manufactured in 25 days

Exercise 1.3 | Q 6 | Page 17

₹ 62,500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?

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

Simplify the following numerical expression:

(10 + 17) ÷ 3

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

Simplify the following numerical expression:

12 – [3 – {6 – (5 – 1)}]

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

Simplify the following numerical expression:

100 + 8 ÷ 2 + {(3 × 2) − 6 ÷ 2}

#### Objective Type Questions

Exercise 1.3 | Q 8 | Page 17

The value of 3 + 5 – 7 × 1 is __________

• 5

• 7

• 8

• 1

Exercise 1.3 | Q 9 | Page 18

The value of 24 ÷ {8 – (3 × 2)} is ___________

• 0

• 12

• 3

• 4

Exercise 1.3 | Q 10 | Page 18

Use BIDMAS and put the correct operator in the box

2 square 6 – 12 ÷ (4 + 2) = 10

• +

• ×

• ÷

Exercise 1.4 [Pages 21 - 22]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 1 Numbers Exercise 1.4 [Pages 21 - 22]

#### Fill in the blanks

Exercise 1.4 | Q 1. (i) | Page 21

The nearest 100 of 843 is ___________________

Exercise 1.4 | Q 1. (ii) | Page 21

The nearest 1000 of 756 is _______________

Exercise 1.4 | Q 1. (iii) | Page 21

The nearest 10000 of 85654 is ____________

#### Say True or False

Exercise 1.4 | Q 2. (i) | Page 21

8567 is rounded off as 8600 to the nearest 10

• True

• False

Exercise 1.4 | Q 2. (ii) | Page 21

139 is rounded off as 100 to the nearest 100

• True

• False

Exercise 1.4 | Q 2. (iii) | Page 21

1,70,51,972 is rounded off as 1,70,00,000 to the nearest lakh

• True

• False

Exercise 1.4 | Q 3. (i) | Page 21

Round off the following to the given nearest place.

4,065; hundred

Exercise 1.4 | Q 3. (ii) | Page 21

Round off the following to the given nearest place.

44,555; thousand

Exercise 1.4 | Q 3. (iii) | Page 21

Round off the following to the given nearest place.

86,943; ten thousand

Exercise 1.4 | Q 3. (iv) | Page 21

Round off the following to the given nearest place.

50,81,739; lakh

Exercise 1.4 | Q 3. (v) | Page 21

Round off the following to the given nearest place.

33,75,98,482; ten crore

Exercise 1.4 | Q 4 | Page 21

Estimate the sum of 157826 and 32469 rounded off to the nearest ten thousand

Exercise 1.4 | Q 5. (i) | Page 21

Estimate by rounding off the number to the nearest hundred.

8074 + 4178

Exercise 1.4 | Q 5. (ii) | Page 21

Estimate by rounding off the number to the nearest hundred.

1768977 + 130589

Exercise 1.4 | Q 6 | Page 22

The population of a city was 43,43,645 in the year 2001 and 46,81,087 in the year 2011. Estimate the increase in population by rounding off to the nearest thousand

#### Objective Type Questions

Exercise 1.4 | Q 7 | Page 22

The number which on rounding off to the nearest thousand gives 11000 is

• 10345

• 10855

• 11799

• 10056

Exercise 1.4 | Q 8 | Page 22

The estimation to the nearest hundred of 76812 is

• 77000

• 76000

• 76800

• 76900

Exercise 1.4 | Q 9 | Page 22

The number 9785764 is rounded off to the nearest lakh as

• 9800000

• 9786000

• 9795600

• 9795000

Exercise 1.4 | Q 10 | Page 22

The estimated difference of 167826 and 2765 rounded off to the nearest thousand is

• 180000

• 165000

• 140000

• 155000

Exercise 1.5 [Pages 27 - 28]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 1 Numbers Exercise 1.5 [Pages 27 - 28]

#### Fill in the blanks

Exercise 1.5 | Q 1. (i) | Page 27

The difference between the smallest natural number and the smallest whole number is _____________

Exercise 1.5 | Q 1. (ii) | Page 27

17 × __________ = 34 × 17

Exercise 1.5 | Q 1. (iii) | Page 27

When __________ is added to a number, it remains the same

Exercise 1.5 | Q 1. (iv) | Page 27

Division by __________ is not defined

Exercise 1.5 | Q 1. (v) | Page 27

Multiplication by __________ leaves a number unchanged

#### Say True or False

Exercise 1.5 | Q 2. (i) | Page 27

0 is the identity for multiplication of whole numbers

• True

• False

Exercise 1.5 | Q 2. (ii) | Page 27

Sum of two whole numbers is always less than their product

• True

• False

Exercise 1.5 | Q 2. (iii) | Page 27

Both addition and multiplication are associative for whole numbers

• True

• False

Exercise 1.5 | Q 2. (iv) | Page 27

Both addition and multiplication are commutative for whole numbers

• True

• False

Exercise 1.5 | Q 2. (v) | Page 27

Multiplication is distributive over addition for whole numbers

• True

• False

Exercise 1.5 | Q 3. (i) | Page 27

Name the property being illustrated given below.

75 + 34 = 34 + 75

Exercise 1.5 | Q 3. (ii) | Page 27

Name the property being illustrated given below.

(12 × 4) × 8 = 12 × (4 × 8)

Exercise 1.5 | Q 3. (iii) | Page 27

Name the property being illustrated given below.

50 + 0 = 50

Exercise 1.5 | Q 3. (iv) | Page 27

Name the property being illustrated given below.

50 × 1 = 50

Exercise 1.5 | Q 3. (v) | Page 27

Name the property being illustrated given below.

50 × 42 = 50 × 40 + 50 × 2

Exercise 1.5 | Q 4. (i) | Page 27

Use the properties of whole numbers and simplify.

50 × 102

Exercise 1.5 | Q 4. (ii) | Page 27

Use the properties of whole numbers and simplify.

500 × 689 – 500 × 89

Exercise 1.5 | Q 4. (iii) | Page 27

Use the properties of whole numbers and simplify.

4 × 132 × 25

Exercise 1.5 | Q 4. (iv) | Page 27

Use the properties of whole numbers and simplify.

196 + 34 + 104

#### Objective Type Questions

Exercise 1.5 | Q 5 | Page 28

(53 + 49) × 0 is

• 102

• 0

• 1

• 53 + 49 × 0

Exercise 1.5 | Q 6 | Page 28

59/1 is

• 1

• 0

• 1/59

• 59

Exercise 1.5 | Q 7 | Page 28

The product of a non-zero whole number and its successor is always

• an even number

• an odd number

• zero

• none of these

Exercise 1.5 | Q 8 | Page 28

The whole number that does not have a predecessor is

• 10

• 0

• 1

• none of these

Exercise 1.5 | Q 9 | Page 28

Which of the following expressions is not zero?

• 0 × 0

• 0 + 0

• 2/0

• 0/2

Exercise 1.5 | Q 10 | Page 28

Which of the following is not true?

• (4237 + 5498) + 3439 = 4237 + (5498 + 3439)

• (4237 × 5498) × 3439 = 4237 × (5498 × 3439)

• 4237 + 5498 × 3439 = (4237 + 5498) × 3439

• 4237 × (5498 + 3439) = (4237 × 5498) + (4237 × 3439)

Exercise 1.6 [Pages 28 - 30]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 1 Numbers Exercise 1.6 [Pages 28 - 30]

#### Miscellaneous Practice Problems

Exercise 1.6 | Q 1 | Page 28

Try to open my locked suitcase which has the biggest 5 digit odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password

Exercise 1.6 | Q 2 | Page 28

As per the census of 2001, the population of four states are given below. Arrange the states in ascending and descending order of their population.

Exercise 1.6 | Q 3 | Page 29

Study the following table and answer the questions

 Year No. of Tigers 1990 3500 2008 1400 2011 1706 2014 2226

(i) How many tigers were there in 2011?
(ii) How many tigers were less in 2008 than in 1990?
(iii) Did the number of tigers increase or decrease between 2011 and 2014? If yes, by how much?

Exercise 1.6 | Q 4 | Page 29

Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?

Exercise 1.6 | Q 5 | Page 29

A poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?

Exercise 1.6 | Q 6 | Page 29

 Name of the Star Diameter (in miles) Sun 864730 Sirius 1556500 Canopus 25941900 Alpha Centauri 1037700 Arcturus 19888800 Vega 2594200

(i) Write the Canopus star’s diameter in words, in the Indian and the International System.
(ii) Write the sum of the place values of 5 in Sirius star’s diameter in the Indian System.
(iii) Eight hundred sixty-four million seven hundred thirty. Write in Indian System.
(iv) Write the diameter in words of Arcturus star’s in the International System
(v) Write the difference of the diameters of Canopus and Arcturus stars in the Indian and the International Systems

Exercise 1.6 | Q 7 | Page 30

Anbu asks Arivu Selvi to guess a five-digit odd number. He gives the following hints.

• The digit in the 1000s place is less than 5
• The digit in the 100s place is greater than 6
• The digit in the 10s place is 8

What is Arivu Selvi answer? Does she give more than one answer?

Exercise 1.6 | Q 8 | Page 30

A Music concert is taking place in a stadium. A total of 7,689 chairs are to be put in rows of 90.
(i) How many rows will there be?
(ii) Will there be any chairs left over?

Exercise 1.6 | Q 9 | Page 30

Round off the seven-digit number 29,75,842 to the nearest lakhs and ten lakhs. Are they the same?

Exercise 1.6 | Q 10 | Page 30

Find the 5 or 6 or 7 digit numbers from a newspaper or a magazine to get a rounded number to the nearest ten thousand

## Chapter 1: Numbers

Exercise 1.1Exercise 1.2Exercise 1.3Exercise 1.4Exercise 1.5Exercise 1.6

## Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide chapter 1 - Numbers

Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide chapter 1 (Numbers) 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 6th Mathematics Term 1 Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Tamil Nadu Board Samacheer Kalvi textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 6th Mathematics Term 1 Answers Guide chapter 1 Numbers are Introduction to Knowing Our Numbers, Successor and Predecessor of Whole Number, Introducing a 5 Digit Number - 10,000, Introducing the Six Digit Number - 1,00,000, Larger Number of Digits 7 and Above, Revisiting Place Value of Numbers, Using Commas in Indian and International Number System, An Aid in Reading and Writing Large Numbers, Comparing Numbers, Compare Numbers in Ascending and Descending Order, Compare Numbers by Shifting Digits, Use of Large Numbers in Daily Life Situations, BODMAS - Rules for Simplifying an Expression, Round off and Estimation of Numbers, To Estimate Sum Or Difference, Estimating Products of Numbers, Concept for Whole Numbers, Commutativity Property of Whole Number, Associativity Property of Whole Numbers, Distributivity Property of Whole Numbers, Identity of Addition and Multiplication of Whole Numbers.

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