Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

Students can Download Maths Chapter 1 Number System Intext Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

Exercise 1.1
(Try These Text book Page No. 2)

Question 1.
Observe the following and write the fraction of the shaded portion and mention in decimal form also.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 1
Solution:
(i) Total parts = 8
Shaded parts = 4
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 2

(ii)
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 3

(iii)
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 5

Question 2.
Represent the following fractions in decimal form by converting denominator into ten or powers of 10.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 4
Solution:
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 6

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

Question 3.
Give any two life situations where we use decimal numbers.
Solution:
(i) Measuring weight of gold.
(ii) Weighing our height

(Try These Text book Page No. 3)

Question 1.
Represent the following decimal numbers pictorially.
(i) 5 ones and 3 tenths
(ii) 6 tenths
(iii) 7 ones and 9 tenths
(iv) 6 ones and 4 tenths
(v) Seven tenths
Solution:
(i) 5 ones and 3 tenths
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 21
(ii) 6 tenths
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 8
(iii) 7 ones and 9 tenths
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 9
(iv) 6 ones and 4 tenths
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 10
(v) Seven tenths
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 11

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

(Try These Text book Page No. 5 & 6)

Question 1.
Express the following decimal numbers in an expanded form and place value grid form.
(i) 56.78
(ii) 123.32
(iii) 354.56
Solution:
(i) 56.78
(a) Expanded form
56.78 = 5 × 101 + 6 × 100 + 7 × 10-1 + 8 × 10-2

(b) Place value grid
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 12

(ii) 123.32
(a) Expanded form
123.32 = 1 × 102 + 2 × 101 + 3 × 100 + 3 × 10-1 +2 × 10-2

(b) Place value grid
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 13

(iii) 354.56
(a) Expande form
354.56 = 3 × 102 + 5 × 101 + 4 × 100+ 5 × 10-1 + 6 × 10-2

(b) Place value grid
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 14

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

Question 2.
Express the following measurements in terms of metre and in decimal form. One is done for you.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 22
Solution:
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 16

Question 3.
Write the following numbers in the place value grid and find the place value of the underlined digits.
(i) 36.37
(ii) 267.06
(iii) 0.23
(iv) 27.69
(v) 53.27
Solution:
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 17
(i) Place value of 3 in 36.37 is Tenths.
(ii) Place value of 6 in 267.06 is Hundredths.
(iii) Place value of 2 in 0.23 is Tenths.
(iv) Place value of 9 in 27.69 is Hundredths.
(v) Place value of 2 in 53.27 is Tenths.

Exercise 1.2

(Try These Text book Page No. 10)

Question 1.
Convert the following fractions into the decimal numbers.
(i) \(\frac { 16 }{ 1000 } \)
(ii) \(\frac { 638 }{ 10 } \)
(iii) \(\frac { 1 }{ 20 } \)
(iv) \(\frac { 3 }{ 50 } \)
Solution:
(i) \(\frac { 16 }{ 1000 } \) = 0.016
(ii) \(\frac { 638 }{ 10 } \) = 63.8
(iii) \(\frac { 1 }{ 20 } \) = \(\frac{1 \times 5}{20 \times 5}\) = \(\frac { 5 }{ 100 } \) = 0.05
(iv) \(\frac { 3 }{ 50 } \) = \(\frac{3 \times 2}{50 \times 2}\) = \(\frac { 6 }{ 100 } \) = 0.06

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

Question 2.
Write the fraction for each of the following:
(i) 6 hundreds + 3 tens + 3 ones + 6 hundredths + 3 thousandths.
(ii) 3 thousands + 3 hundreds + 4 tens + 9 ones + 6 tenths.
Solution:
(i) 6 hundreds + 3 tens + 3 ones + 6 hundreds + 3 thousandths.
= 6 × 100 + 3 × 10 + 3 × 1 + 0 × \(\frac { 1 }{ 10 } \) + 6 × \(\frac { 1 }{ 100 } \) + 3 × \(\frac { 1 }{ 1000 } \)
= 600 + 30 + 3 + 0 + \(\frac { 6 }{ 100 } \) + \(\frac { 3 }{ 1000 } \)
= 633 + 0.06 + 0.003
= 633.063

(ii) 3 thousands + 3 hundreds + 4 tens + 9 ones + 6 tenths.
= 3 × 1000 + 3 × 100 + 4 × 10 + 9 × 1 + 6 × \(\frac { 1 }{ 10 } \)
= 3000 + 300 + 40 + 9 + \(\frac { 6 }{ 10 } \)
= 3349 + 0.6
= 3349.6

Question 3.
Convert the following decimals into fractions.
(i) 0.0005
(ii) 6.24
Solution:
(i) 0.0005 = \(\frac { 5 }{ 10000 } \) = \(\frac{5 \div 5}{10000 \div 5}\) = \(\frac { 1 }{ 2000 } \)
(ii) 6.24 = \(\frac { 624 }{ 100 } \) = \(\frac{624 \div 4}{100 \div 4}\) = \(\frac { 156 }{ 25 } \)

Exercise 1.4

(Try These Text book Page No. 22)

Question 1.
Mark the following decimal numbers on the number line.
(i) 0.3
(ii) 1.7
(iii) 2.3
Solution:
(i) 0.3
We know that 0.3 is more than 0, but less than 1.
There are 3 tenths in it. Divide the unit lenght between O and 1 on the number line
into 10 equal parts and take 3 parts, which represent 0.3.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 18

(ii) 1.7
We know that 1.7 is more than 1, but less than 2.
There are one ones and 7 tenths in it. Divide the unit length between 1 and 2 on the number line into 10 equal parts and take 7 parts which represents 1.7 = 1 + 0.7
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 19

(iii) We know that 2.3 is more than 2 and less than 3.
There are 2 ones and 3 tenths in it. Divide the unit length between 2 and 3 into 10 equal parts and take 3 parts, which represents 2.3 = 2 + 0.3
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions 20

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 1 Number System Intext Questions

Question 2.
Identify any two decimal numbers between 2 and 3.
Solution:
2.5 and 2.9

Question 3.
Write any decimal number which is greater than 1 and less than 2.
Solution:
1.7, 1.9, 1.6, ………………..

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