Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1

Students can download Maths Chapter 2 Introduction to Algebra Ex 2.1 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 2 Introduction to Algebra Ex 2.1

Question 1.
Fill in the blanks:
(i) The letters a, b, c, .., x, y, z are used to represent _____
(ii) A quantity that takes _____ values is called a variable.
(iii) If there are 5 students on a bench, then the number of students in ‘n’ benches is ‘5 × n’. Here _____ is a variable.
Solution:
(i) Variables
(ii) Different
(iii) n

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1

Question 2.
Say True or False.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1 1
(iii) If there are 11 players in a team, then there will be ’11 + q’ players in ‘q’ teams.
Solution:
(i) False
(ii) True
(iii) False

Question 3.
Draw the next two patterns and complete the table
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1 2
Solution:
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1 3

Question 4.
Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1 4
Solution:
(a) No of ice candy sticks used = 3 × n = 3n
(b) No of ice candy sticks used = 4 × n = 4n

Question 5.
The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?
Solution:
No of students in a group = 5
No of students in ‘p’ groups = 5 × p = 5p

Question 6.
Arivazhagan is 30 years younger than his father. Write Arivazhagan’s age in terms of his father’s age.
Solution:
Let Arivazhagan’s father’s age be x years
According to the problem,
Arivazhagan’s age = (x – 30) years

Question 7.
If ‘u’ is an even number, how would you represent
(i) the next even number?
(ii) the previous even number?
Solution:
(i) Difference between two even numbers = 2
Given that ‘u’ is an even number.
Next, the even number is u + 2.
(ii) Previous even number is u – 2.

Objective Type Questions

Question 8.
Variable means that it
(a) can take only a few values
(b) has a fixed value
(c) can take different values
(d) can take only 8 values
Solution:
(c) can take different values

Question 9.
‘6y’ means
(a) 6 + y
(b) 6 – y
(c) 6 × y
(d) \(\frac{6}{7}\)
Solution:
(c) 6 × y

Question 10.
Radha is ‘x’ years of age now. 4 years ago, her age was
(a) x – 4
(b) 4 – x
(c) 4 + x
(d) 4x
Solution:
(a) x – 4

Question 11.
The number of days in ‘w’ weeks is
(a) 30 + w
(b) 30w
(c) 7 + w
(d) 7w
Solution:
(d) 7w

Question 12.
The value of ‘x’ in the circle is
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 2 Introduction to Algebra Ex 2.1 5
(a) 6
(b) 8
(c) 21
(d) 22
Solution:
(d) 22

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Numbers Ex 1.6

Students can download Maths Chapter 1 Numbers Ex 1.6 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.6

Miscellaneous Practice Problems

Question 1.
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.
Solution:
87543

Question 2.
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.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6 1
Solution:
Ascending Order: 6,85,48,437 < 7,21,47,030 < 7,26,26,809 < 9,12,76,115
Descending Order 9,12,76,115 > 7,26,26,809 > 7,21,47,030 > 6,85,48,437

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6

Question 3.
Study the following table and answer the questions.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6 2
(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?
Solution:
(i) 1706
(ii) 2100
(iii) Yes, 2226 – 1706 = 520 tigers increased from 2011 to 2014

Question 4.
Mullaikodi has 25 bags of apples. In each bag, there are 9 apples. She shares them equally amongst her 6 friends. How many apples does each get? Are there any apples left over?
Solution:
No of apple bags = 25
Apples in each bag = 9
Total no of apples = 25 × 9 = 225
Apples shared among her 6 friends = 225 ÷ 6
So, among her 6 friends, each of them gets 37 apples and 3 apples are leftover.

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6

Question 5.
Poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?
Solution:
No of eggs produced = 15472
No of eggs fits in a tray = 30
No of trays required = 15472 ÷ 30
Trays required = 515 + 1 (to fit the remaining 22 eggs) = 516
Quotient = 515
Remainder = 22

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6

Challenging Problems

Question 6.
Read the table and answer the following questions.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6 3
(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 in the International System
(v) Write the difference of the diameters of Canopus and Arcturus stars in the Indian and the International Systems.
Solution:
(i) 2,59,41,900
25,941,900
Indian System: Two crores fifty-nine lakh forty-one thousand nine hundred.
International System: Twenty-five million nine hundred forty-one thousand nine hundred.
(ii) 5,50,500
(iii) 864,000,730 (86,40,00,730)
(iii) Eighty-six crore forty lakh seven hundred thirty.
(iv) Nineteen million eight hundred eighty-eight thousand eight hundred. (19,888,800)
(v) Indian System: 60,53,100 – Sixty lakh fifty-three thousand one hundred International System: 6,053,100 – Six million fifty-three thousand one hundred.

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6

Question 7.
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’s answer? Does she give more than one answer?
Solution:
There are more than one answers.
One of them is 54781
Some of the other numbers maybe 64783, 74785, 84787 and so on.

Question 8.
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?
Solution:
Total no of chairs to be put = 7,689
Chairs in each row = 90
No of rows = 7689 ÷ 90
Hence, 84 + 1 = 85 rows are required to fill 7650 chairs
Chairs left over = 79 (If the no of rows = 84)

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6

Question 9.
Round off the seven-digit number 29,75,842 to the nearest lakhs and ten lakhs. Are they the same?
Solution:
Yes. Both are same (30,00,000)

Question 10.
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.
Solution:
(i) 14276 \(\simeq\) 10000
(ii) 1,86945 \(\simeq\) 1,90000

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.6

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Numbers Ex 1.5

Students can download Maths Chapter 1 Numbers Ex 1.5 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.5

Question 1.
Fill in the blanks.
(i) The difference between the smallest natural number and the smallest whole number is ……….
(ii) 17 × …….. = 34 × 17
(iii) When ……… is added to a number, it remains the same.
(iv) Division by ………. is not defined.
(v) Multiplication by ……… leaves a number unchanged.
Solution:
(i) 1
(ii) 34
(iii) Zero
(iv) 0
(v) 1

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Question 2.
Say True or False.

  1. 0 is the identity for multiplication of whole numbers.
  2. The Sum of two whole numbers is always less than their product.
  3. Both addition and multiplication are associative for whole numbers.
  4. Both addition and multiplication are commutative for whole numbers.
  5. Multiplication is distributive over addition for whole numbers.

Solution:

  1. False
  2. False
  3. True
  4. True
  5. True

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Question 3.
Name the property being illustrated in each of the cases given below.

  1. 75 + 34 = 34 + 75
  2. (12 × 4) × 8 = 12 × (4 × 8)
  3. 50 + 0 = 50
  4. 50 × 1 = 50
  5. 50 × 42 = 50 × 40 + 50 × 2

Solution:

  1. Commutativity for addition
  2. Associativity for multiplication
  3. Zero is the additive identity
  4. One is the multiplicative identity
  5. Distributivity of multiplication over addition

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Question 4.
Use the properties of whole numbers and simplify.
(i) 50 × 102
(ii) 500 × 689 – 500 × 89
(iii) 4 × 132 × 25
(iv) 196 + 34 + 104
Solution:
(i) 50 × 102
= 50 × (100 + 2)
= (50 × 100) + (50 × 2)
= 5000 + 100 = 5100

(ii) 500 × 689 – 500 × 89
= 500 × (689 – 89)
= 344500 – 44500
= 300000
= 500 × (689 – 89)
= 500 × 600
= 3,00000

(iii) (4 × 132) × 25
= 4 × (132 × 25)
= (4 × 132) × 25
= 528 × 25
= 13200
= 4 × (132 × 25)
= 4 × 3300
= 13200

(iv) (196 + 34) + 104 = 196 + (34 + 104)
(196 + 34) + 104 = 230 + 104 = 334
196 + (34 + 104) = 196 + 138 = 334

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Objective Type Questions

Question 5.
(53 + 49) × 0 is
(a) 102
(b) 0
(c) 1
(d) 53 + 49 × 0
Solution:
(b) 0

Question 6.
\(\frac{59}{1}\) is
(a) 1
(b) 0
(c) \(\frac{1}{59}\)
(d) 59
Solution:
(d) 59

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Question 7.
The product of a non-zero whole number and its successor is always
(a) an even number
(b) an odd number
(c) zero
(d) none of these
Solution:
(a) an even number

Question 8.
The whole number that does not have a predecessor is
(a) 10
(b) 0
(c) 1
(d) none of these
Solution:
(b) 0

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Question 9.
Which of the following expressions is not zero?
(a) 0 × 0
(b) 0 + 0
(c) \(\frac{2}{0}\)
(d) \(\frac{0}{2}\)
Solution:
(c) \(\frac{2}{0}\)
Dividing by 0 is not defined.

Question 10.
Which of the following is not true?
(a) (4237 + 5498) + 3439 = 4237 + (5498 + 3439)
(b) (4237 × 5498) × 3439 = 4237 × (5498 × 3439)
(c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439
(d) 4237 × (5498 + 3439) = (4237 × 5498) + (4237 × 3439)
Solution:
(c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.5

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Numbers Ex 1.4

Students can download Maths Chapter 1 Numbers Ex 1.4 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.4

Question 1.
Fill in the blanks.
(i) The nearest 100 of 843 is _____
(ii) The nearest 1000 of 756 is ______
(iii) The nearest 10,000 of 85654 is ______
Solution:
(i) 800.
The digit in tens place is 4 < 5
(ii) 1000.
The digit in hundred places is 7 ≥ 5
(iii) 90,000.
The digit in a thousand places is 5 ≥ 5

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.4

Question 2.
Say True or False
(i) 8567 is rounded off as 8600 to the nearest 10.
(ii) 139 is rounded off as 100 to the nearest 100.
(iii) 1,70,51,972 is rounded off as 1,70,00,000 to the nearest lakh.
Solution:
(i) False
Hint: In one’s place the digit is 7 ≥ 5. So 8580
(ii) True
Hint: In tens place, we have 3 < 5. So 100
(iii) False
Hint: In ten thousand places the digit is 5 ≥ 5. So 1,71,000,000

Question 3.
Round off the following to the given nearest place.
(i) 4,065; hundred
(ii) 44,555; thousand
(iii) 86,943; ten thousand
(iv) 50,81,739; lakh
(v) 33,75,98,482; ten crore
Solution:
(i) 4100
(ii) 45,000
(iii) 90,000
(iv) 51,00,000
(v) 30,00,00,000

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.4

Question 4.
Estimate the sum of 157826 and 32469 rounded off to the nearest ten thousand.
Solution:
= 157826 + 32469
= 190295
When rounded off to nearest ten thousand = 1,90,000

Question 5.
Estimate by rounding off each number to the nearest hundred.
(i) 8074 + 4178
(ii) 1768977 + 130589
Solution:
(i) 8074 + 4178 = 12,252
When rounded off to nearest hundred 12,300

(ii) 1768977 + 130589 = 18,99,566
When rounded off to nearest hundred = 18,99,600

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.4

Question 6.
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 thousands.
Solution:
Population in 2001 = 43,43,645
Population in 2011 = 46,81,087
Increase in population = 46,81,087 – 43,43,645 = 3,37,442
When rounded off to the nearest thousand = 3,37,000

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.4

Objective Type Questions

Question 7.
The number which on rounding off to the nearest thousand gives 11000 is
(a) 10345
(b) 10855
(c) 11799
(d) 10056
Solution:
(b) 10855

Question 8.
The estimation to the nearest hundredth of 76812 is
(a) 77000
(b) 76000
(c) 76800
(d) 76900
Solution:
(c) 76800
In tens place the digit is 1 < 5, So 76800

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.4

Question 9.
The number 9785764 is rounded off to the nearest lakh as
(a) 9800000
(b) 9786000
(c) 9795600
(d) 9795000
Solution:
(a) 9800000

Question 10.
The estimated difference of 167826 and 2765 rounded off to the nearest thousand is
(a) 180000
(b) 165000
(c) 140000
(d) 155000
Solution:
(b) 165000

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.4

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Numbers Ex 1.3

Students can download Maths Chapter 1 Numbers Ex 1.3 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.3

Question 1.
Fill in the blanks.

  1. If Arulmozhi saves ₹ 12 per day then she saves ₹ ____ in 30 days.
  2. If a person ‘A’ earns ₹ 1800 in 12 days, then he earns ₹ ____ in a day.
  3. 45 ÷ (7 + 8) – 2 = _____

Solution:

  1. 12 × 30 = ₹ 360
  2. \(\frac{1800}{12}=150\)
  3. 45 ÷ 15 – 2 = 3 – 2 = 1

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.3

Question 2.
Say True or False

  1. 3 + 9 × 8 = 96
  2. 7 × 20 – 4 = 136
  3. 40 + (56 – 6) ÷ 2 = 45

Solution:

  1. False
    Hint: 3 + 9 × 8 = 3 + 72 = 75
  2. True
    Hint: 7 × 20 – 4 = 140 – 4 = 136
  3. False
    Hint: 40 + 50 ÷ 2 = 40 + 25 = 65

Question 3.
The number of people who visited the Public Library for the past 5 months was 1200, 2000, 2450, 3060 and 3200 respectively. How many people visited the library in the last 5 months.
Solution:
People visited the library for past 5 months = 1200 + 2000 + 2450 + 3060 + 3200 = 11910
Total people visited = 11910

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.3

Question 4.
Cheran had a bank savings of ₹ 7,50,250. He withdrew ₹ 5,34,500 for educational purposes. Find the balance amount in his account.
Solution:
Bank Savings of Cheran = ₹ 7,50,250
Withdrew Amount = ₹ 5,34,500
Balance Amount = ₹ 2,15,750

Question 5.
In a cycle factory, 1560 bicycles were manufactured every day. Find the number of bicycles manufactured in 25 days.
Solution:
Bicycles manufactured in one day = 1560
Bicycles manufactured in 25 days = 1560 × 25
= 39,000 bicycles

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.3

Question 6.
₹ 62,500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?
Solution:
Total amount = Rs 62500
Total number of employees = 25
Bonus amount received by each employee = Rs 62500 ÷ 25
= RS \(\frac{62500}{25}\)
= Rs 2500

Question 7.
Simplify the following numerical expressions:
(i) (10 + 17) ÷ 3
(ii) 12 – [3 – {6 – (5 – 1)}]
(iii) 100 + 8 ÷ 2 + {(3 × 2) -6 ÷ 2}
Solution:
(i) (10 + 17) ÷ 3
= 27 ÷ 3
= 9

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.3

(ii) 12 – [3 – {6 – (5 – 1)}]
= 12 – [3 – (6 – 4)]
= 12 – [3 – 2]
= 12 – 1
= 11

(iii) 100 + 8 ÷ 2 + {(3 × 2) – 6 ÷ 2}
= 100 + 8 ÷ 2 + {6 – 3}
= 100 + 8 ÷ 2 + 3
= 100 + 4 + 3
= 107

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.3

Objective Type Questions

Question 8.
The value of 3 + 5 – 7 × 1 is _____
(a) 5
(b) 7
(c) 8
(d) 1
Answer:
(d) 1
3 + 5 – 7 × 1 = 3 + 5 – 7 = 8 – 7 = 1

Question 9.
The value of 24 ÷ {8 – (3 × 2)} is ______
(a) 0
(b) 12
(c) 3
(d) 4
Answer:
(b) 12
24 ÷ {8 – 3 × 2} = 24 ÷ {8 – 6} = 24 ÷ 2 = 12

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.3

Question 10.
Use BIDMAS and put the correct operator in the box.
2 ….. 6 – 12 ÷ (4 + 2) = 10
(a) +
(b) –
(c) ×
(d) ÷
Answer:
(c) ×
2 ….. 6 – 12 ÷ 6 = 10
⇒ 2 ….. 6 – 2 = 10
⇒ 2 × 6 – 2 = 10

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Numbers Ex 1.2

Students can download Maths Chapter 1 Numbers Ex 1.2 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.2

Question 1.
Fill in the blanks with > or < or =.

  1. 48792 ………. 48972
  2. 1248654 ……… 1246854
  3. 658794 ……… 658794

Solution:

  1. <
  2. >
  3. =

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2

Question 2.
Say True or False.

  1. The difference between the smallest number of seven digits and the largest number of six digits is 10.
  2. The largest 4 digit number formed by the digits 8, 6, 0, 9 using each digit only once is 9086
  3. The total number of 4 digit number is 9000

Solution:

  1. False
    Hint: 1000000 – 999999 = 1
  2. False
    Hint: 9999 – 999 = 9000
  3. True

Question 3.
Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?
Solution:
We know that the number with more digits is greater.
The greatest number is 1386787215
The smallest number is 86720560

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2

Question 4.
Arrange the following numbers in the descending order:
128435, 10835, 21354, 6348, 25840
Solution:
128435 > 25840 > 21354 > 10835 > 6348

Question 5.
Write any eight-digit number with 6 in ten lakhs place and 9 in ten-thousandth place.
Solution:
76594231
86493725

Question 6.
Rajan writes a 3-digit number, using the digits 4, 7, and 9. What are the possible numbers he can write?
Solution:
974, 947, 479, 497, 749, 794

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2

Question 7.
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.
Solution:
Given digits are 9, 4, 6, and 8.
The smallest number with these digits is 4689 Given that it is an even number.
It may be 4698.
So password of the ATM card is 4698.

Question 8.
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.
Solution:
Largest Postal Index Number = 631603
Smallest Postal Index Number = 631036

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2

Question 9.
The heights (in meters) of the mountains in Tamil Nadu are as follows:
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2 1
(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 Anaimudi and Mahendragiri?
Solution:
(i) Anaimudi (2695 m)
(ii) Anaimudi, Doddabetta, Velliangiri, Mahendragiri
(iii) 2695 m – 1647 m = 1048 m

Objective Type Questions

Question 10.
Which list of numbers is in order from the smallest to the largest?
(a) 1468, 1486, 1484
(b) 2345, 2435, 2235
(c) 134205, 134208, 154203
(d) 383553, 383548, 383642
Solution:
(c) 134205, 134208, 154203

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2

Question 11.
The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?
(a) 1489000 and 1492540
(b) 1489000 and 1490540
(c) 1490000 and 1490100
(d) 1480000 and 1490000
Solution:
(a) 1489000 and 1492540

Question 12.
The chart below shows the number of newspapers sold as per the Indian Readership Survey in 2018. Which could be the missing number in the table?
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2 2
(a) 8
(b) 52
(c) 77
(d) 26
Solution:
(d) 26

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.2

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Numbers Ex 1.1

Students can download Maths Chapter 1 Numbers Ex 1.1 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.1

Question 1.
Fill in the blanks.

  1. The smallest 7 digit number is _______
  2. The largest 8 digit number is _______
  3. The place value of 5 in 7005380 is ________
  4. The expanded form of the number 76,70,905 is _______

Solution:

  1. 10,00,000
  2. 9,99,99,999
  3. 5 × 1000 = 5000
  4. 7 × 10,00,000 + 6 × 1,00,000 + 7 × 10,000 + 0 + 9 × 100 + 0 + 5 × 1
    (or)
    70,00,000 + 6,00,000 + 70,000 + 900 + 5

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Question 2.
Say True or False.

  1. In the Indian System of Numeration, the number 67999037 is written as 6,79,99,037
  2. The successor of a one-digit number is always a one-digit number 9 + 1 = 10
  3. The predecessor of a 3-digit number is always a 3 or 4 digit number 100 – 1 = 99
  4. 88888 = 8 × 10000 + 8 × 100 + 8 × 10 + 8 × 1

Solution:

  1. True
  2. False
  3. False
  4. False

Question 3.
Complete the given order.
Ten crores, crore, ten lakh, ………, ……….., ……….., ………, …….., ……..
Solution:
Ten crores, Crore, Ten lakh, Lakh, Ten Thousand, Thousand, Hundred, Ten, One

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Question 4.
How many ten thousands are there in the smallest 6 digit number?
Solution:
Smallest 6 digit number = 1,00,000
= \(\frac{100000}{10000}\) = 10
1 Lakh = 10 Ten Thousands

Question 5.
Using the digits 5, 2, 0, 7, 3 forms the largest 5 digit number and the smallest 5 digit number.
Solution:
Given digits = 5, 2, 0, 7, 3
Largest 5 digit number – 75320
Smallest 5 digit number – 20357

Question 6.
Observe the commas and write down the place value of 7.
(i) 56,74,56,345
(ii) 567,456,345
Solution:
(i) 70,00,000
(ii) 7,000,000

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Question 7.
Write the following numbers in the International System by using commas.

  1. 347056
  2. 7345671
  3. 634567105
  4. 1234567890

Solution:

  1. 347,056
  2. 7,345,671
  3. 634,567,105
  4. 1,234,567,890

Question 8.
Write the largest six-digit number and put commas in the Indian and the International Systems.
Solution:
Largest 6 digit number = 9,99,999
Indian System: 9,99,999 (Nine Lakh Ninety-Nine Thousand Nine Hundred Ninety-Nine)
International System: 999,999 (Nine Hundred Ninety-Nine Thousand, Nine Hundred Ninety-Nine)

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Question 9.
Write the number names of the following numerals in the Indian System.
(i) 75,32,105
(ii) 9,75,63,453
Solution:
(i) Seventy-five lakh thirty-two thousand one hundred five.
(ii) Nine crore seventy-five lakh sixty-three thousand four hundred fifty-three.

Question 10.
Write the number of names in words using the International System.

  1. 345,678
  2. 8,343,710
  3. 103,456,789

Solution:

  1. Three hundred forty-five thousand six hundred seventy-eight.
  2. Eight million three hundred forty-three thousand seven hundred ten.
  3. One hundred three million four hundred fifty-six thousand seven hundred eighty-nine.

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Question 11.
Write the number name in numerals.

  1. Two crores thirty lakhs fifty-one thousand nine hundred eighty.
  2. Sixty-six million three hundred forty-five thousand twenty-seven.
  3. Seven hundred eighty-nine million, two hundred thirteen thousand four hundred fifty-six.

Solution:

  1. 2,30,51,980
  2. 66,345,027
  3. 789,213,456

Question 12.
Tamil Nadu has about twenty-six thousand three hundred forty-five square kilometres of Forest land. Write the number mentioned in the statement in the Indian System.
Solution:
26,345

Question 13.
The number of employees in the Indian Railways is about 10 lakh. Write this in the International System of numeration.
Solution:
1,000,000 (One Million)

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Objective Type Questions

Question 14.
1 billion is equal to
(a) 100 crore
(b) 100 million
(c) 100 lakh
(d) 10000 lakh
Solution:
(a) 100 crore

Question 15.
The successor of 10 million is
(a) 1000001
(b) 10000001
(c) 9999999
(d) 100001
Solution:
(b) 10000001

Question 16.
The difference between successor and predecessor of 99999 is
(a) 90000
(b) 1
(c) 2
(d) 99001
Solution:
(c) 2

 Samacheer Kalvi 6th Maths Guide Term 1 Chapter 1 Set Language Ex 1.1

Question 17.
The expanded form of the number 6,70,905 is
(a) 6 × 10000 + 7 × 1000 + 9 × 100 + 5 × 1
(b) 6 × 10000 + 7 × 1000 + 0 × 100 + 9 × 100 + 0 × 10 + 5 × 1
(c) 6 × 1000000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
(d) 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
Solution:
(d) 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1