In Text Questions Try These (Text Book No. 1,3,5,6,10,22 - Chapter 1 Number Systems Term 2 7th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

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On April 24, 2024, 11:35 AM

Text Questions : Chapter 1 Number Systems Term 2 Class 7th std Maths Guide Samacheer Kalvi Solutions
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.

Solution:
(i) Total parts $=8$
Shaded parts $=4$
Fraction of the shaded portion $=\frac{4}{8}$
Decimal form of $\frac{4}{8}$ is $0.5$
(ii)
Total parts $=10$
Shaded parts = 3
Fraction of the shaded portion $=\frac{3}{10}$
Decimal form of $\frac{3}{10}$ is $0.3$

(iii)
Total parts $=10$
Shaded parts $=5$
Fraction of the shaded portion $=\frac{5}{10}$
Decimal form of $\frac{5}{10}$ is $0.5$

Question 2.

Represent the following fractions in decimal form by converting denominator into ten or powers of 10.

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

(ii) 6 tenths

(iii) 7 ones and 9 tenths

(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
$56.78=5 \times 10^{1}+6 \times 10^{0}+7 \times 10^{-1}+8 \times 10^{-2}$
(b) Place value grid

(ii) $123.32$
(a) Expanded form
$123.32=1 \times 10^{2}+2 \times 10^{1}+3 \times 10^{0}+3 \times 10^{-1}+2 \times 10^{-2}$
(b) Place value grid

(iii) $354.56$
(a) Expanded form
$354.56=3 \times 10^{2}+5 \times 10^{1}+4 \times 10^{0}+5 \times 10^{-1}+6 \times 10^{-2}$
(b) Place value grid

Question 2.

Express the following measurements in terms of metre and in decimal form. One is done for you.

Solution:

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:

(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) $\frac{3}{50}=\frac{3 \times 2}{50 \times 2}=\frac{6}{100}=0.06$

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. $=6 \times 100+3 \times 10+3 \times 1+0 \times \frac{1}{10}+6 \times \frac{1}{100}+3 \times \frac{1}{1000}$ $=600+30+3+0+\frac{6}{100}+\frac{3}{1000}$
$=633+0.06+0.003$
$=633.063$
(ii) 3 thousands $+3$ hundreds $+4$ tens $+9$ ones $+6$ tenths. $=3 \times 1000+3 \times 100+4 \times 10+9 \times 1+6 \times \frac{1}{10}$ $=3000+300+40+9+\frac{6}{10}$
$=3349+0.6$
$=3349.6$

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 $\mathrm{O}$ and 1 on the number line into 10 equal parts and take 3 parts, which represent $0.3$.

(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 $1.7=1+0.7$
$1.7$

(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 $2.3=2+0.3$

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:
$1.7,1.9,1.6$