#### Chapters

## Chapter 1: Numbers

### 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

The smallest 7 digit number is _____________

The largest 8 digit number is ____________

The place value of 5 in 7005380 is ____________

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

#### Say True or False

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

True

False

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

True

False

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

True

False

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

True

False

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

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

56,74,56,345

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

567,456,345

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

347056

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

7345671

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

634567105

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

1234567890

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

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

75,32,105

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

9,75,63,453

Write the number names in words using the International System

345,678

Write the number names in words using the International System

8,343,710

Write the number names in words using the International System

103,456,789

Write the number name in numerals.

Two crores thirty lakhs fifty one thousand nine hundred eighty

Write the number name in numerals.

Sixty six millions three hundred forty five thousand twenty-seven

Write the number name in numerals.

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

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

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

#### Objective Type Questions

The successor of 10 million is

1000001

10000001

9999999

100001

The difference between the successor and the predecessor of 99999 is

90000

1

2

99001

1 billion is equal to

100 crore

100 million

100 lakh

10000 lakh

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

### 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

Fill in the blank with > or < or =.

48792 _______ 48972

Fill in the blank with > or < or =.

1248654 ________ 1246854

Fill in the blank with > or < or =.

658794 _______ 658794

#### Say True or False

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

True

False

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

True

False

The total number of 4 digit number is 9000

True

False

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

Arrange the following numbers in the descending order:

128435, 10835, 21354, 6348, 25840

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

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

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

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

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

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

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

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

### 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

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

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

45 ÷ (7 + 8) – 2 = _________

#### Say True or False

3 + 9 × 8 = 96

True

False

7 × 20 – 4 = 136

True

False

40 + (56 – 6) ÷ 2 = 45

True

False

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

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

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

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

Simplify the following numerical expression:

(10 + 17) ÷ 3

Simplify the following numerical expression:

12 – [3 – {6 – (5 – 1)}]

Simplify the following numerical expression:

100 + 8 ÷ 2 + {(3 × 2) − 6 ÷ 2}

#### Objective Type Questions

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

5

7

8

1

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

0

12

3

4

Use BIDMAS and put the correct operator in the box

2 `square` 6 – 12 ÷ (4 + 2) = 10

+

–

×

÷

### 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

The nearest 100 of 843 is ___________________

The nearest 1000 of 756 is _______________

The nearest 10000 of 85654 is ____________

#### Say True or False

8567 is rounded off as 8600 to the nearest 10

True

False

139 is rounded off as 100 to the nearest 100

True

False

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

True

False

Round off the following to the given nearest place.

4,065; hundred

Round off the following to the given nearest place.

44,555; thousand

Round off the following to the given nearest place.

86,943; ten thousand

Round off the following to the given nearest place.

50,81,739; lakh

Round off the following to the given nearest place.

33,75,98,482; ten crore

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

Estimate by rounding off the number to the nearest hundred.

8074 + 4178

Estimate by rounding off the number to the nearest hundred.

1768977 + 130589

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

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

10345

10855

11799

10056

The estimation to the nearest hundred of 76812 is

77000

76000

76800

76900

The number 9785764 is rounded off to the nearest lakh as

9800000

9786000

9795600

9795000

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

180000

165000

140000

155000

### 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

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

17 × __________ = 34 × 17

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

Division by __________ is not defined

Multiplication by __________ leaves a number unchanged

#### Say True or False

0 is the identity for multiplication of whole numbers

True

False

Sum of two whole numbers is always less than their product

True

False

Both addition and multiplication are associative for whole numbers

True

False

Both addition and multiplication are commutative for whole numbers

True

False

Multiplication is distributive over addition for whole numbers

True

False

Name the property being illustrated given below.

75 + 34 = 34 + 75

Name the property being illustrated given below.

(12 × 4) × 8 = 12 × (4 × 8)

Name the property being illustrated given below.

50 + 0 = 50

Name the property being illustrated given below.

50 × 1 = 50

Name the property being illustrated given below.

50 × 42 = 50 × 40 + 50 × 2

Use the properties of whole numbers and simplify.

50 × 102

Use the properties of whole numbers and simplify.

500 × 689 – 500 × 89

Use the properties of whole numbers and simplify.

4 × 132 × 25

Use the properties of whole numbers and simplify.

196 + 34 + 104

#### Objective Type Questions

(53 + 49) × 0 is

102

0

1

53 + 49 × 0

`59/1` is

1

0

`1/59`

59

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

an even number

an odd number

zero

none of these

The whole number that does not have a predecessor is

10

0

1

none of these

Which of the following expressions is not zero?

0 × 0

0 + 0

`2/0`

`0/2`

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)

### 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

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

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.

State |
Population |

Tamil Nadu | 72147030 |

Rajasthan | 68548437 |

Madhya Pradesh | 72626809 |

West Bengal | 91276115 |

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?

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?

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

Read the table and answer the following questions.

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

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?

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?

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

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

## 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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