In Text Questions Try These (Text Book Page No. 19,21,22) - Chapter 1 Number Systems Term 3 7th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Exercise $1.4$
Try These (Text book Page No. 19)
Question.

Solution:

Try These (Text book Page No. 19)
Question $1 .$
Divide the following
(i) $17.237 \div 10$
(ii) $17.237 \div 100$
(iii) $17.237 \div 1000$
Solution:
(i) $17.237 \div 10$
$\begin{aligned}
&=\frac{17237}{1000} \times \frac{1}{10} \\
&=\frac{17237}{1000} \\
&=1.7237
\end{aligned}$
(ii) $17.237 \div 100$
$\begin{aligned}
&\text { (ii) } 17.237 \div 100 \\
&=\frac{17237}{1000} \times \frac{1}{100} \\
&=\frac{17237}{100000} \\
&=0.17237
\end{aligned}$
(iii) $17.237 \div 1000$
$\begin{aligned}
&=\frac{17237}{1000} \times \frac{1}{1000} \\
&=\frac{17237}{1000000} \\
&=0.017237
\end{aligned}$
 

Try These (Text book Page No. 21)
Question 1.
Find the value of the following:
(i) $46.2 \div 3=$ ?
(ii) $71.6 \div 4=$ ?
(iii) $23.24 \div 2=$ ?
(iv) $127.35 \div 9=$ ?
(v) $47.201 \div 7=$ ?
Solution:
(i) $46.2 \div 3$
$=\frac{462}{10} \times \frac{1}{3}$

\begin{aligned}
&=\frac{1}{10} \times \frac{462}{3} \\
&=\frac{1}{10} \times 15.4 \\
&=\frac{154}{10} \\
&=15.4
\end{aligned}

\begin{aligned}
&\text { (ii) } 71.6 \div 4 \\
&=\frac{716}{10} \times \frac{1}{4} \\
&=\frac{1}{10} \times \frac{716}{4} \\
&=\frac{1}{10} \times 179 \\
&=17.9
\end{aligned}

(iii) $23.24 \div 2$
$\begin{aligned}
&=\frac{2324}{100} \times \frac{1}{2} \\
&=\frac{2324}{2} \times \frac{1}{100} \\
&=1162 \times \frac{1}{100} \\
&=\frac{1162}{100} \\
&=11.62 \\
&\text { (iv) } 127.35 \div 9 \\
&=\frac{12735}{100} \times \frac{1}{9} \\
&=\frac{12735}{9} \times \frac{1}{100} \\
&=1415 \times \frac{1}{100} \\
&=\frac{1415}{100}
\end{aligned}$
$=14.15$

\begin{aligned}
&\text { (v) } 47.201 \div 7 \\
&=\frac{47201}{1000} \times \frac{1}{7} \\
&=\frac{47201}{7} \times \frac{1}{1000} \\
&=6743 \times \frac{1}{1000} \\
&=\frac{6743}{1000} \\
&=6.743
\end{aligned}

Try These (Text book Page No. 22)
Question 1.
Divide the following
(i) $\frac{9.25}{0.25}$
(ii) $\frac{8.6}{4.3}$
(iii) $\frac{44.1}{0.21}$
(iv) $\frac{9.6}{1.2}$
Solution:
(i) $\frac{9.25}{0.25}$
$\frac{9.25}{0.25}=\frac{\left(\frac{925}{100}\right)}{\left(\frac{25}{100}\right)}=\frac{925}{100} \times \frac{100}{25}=\frac{925}{25}=37$
(ii) $\frac{8.6}{4.3}$
$\frac{8.6}{4.3}=\frac{\left(\frac{86}{10}\right)}{\left(\frac{43}{10}\right)}=\frac{86}{10} \times \frac{10}{43}=\frac{86}{43}=2$
(iii) $\frac{44.1}{0.21}$
$\frac{44.1}{0.21}=\frac{\left(\frac{441}{10}\right)}{\left(\frac{21}{100}\right)}=\frac{441}{10} \times \frac{100}{21}=21 \times 10=210$
(iv) $\frac{9.6}{1.2}$
$\frac{9.6}{1.2}=\frac{\left(\frac{96}{10}\right)}{\left(\frac{12}{10}\right)}=\frac{96}{10} \times \frac{10}{12}=8$

Think (Text book Page No. 22)
Question 1.
The price of a tablet strip containing 30 tablets is $22.63$ Then how will you find the price of each tablet?
Solution:
Price of 30 tablets $=₹ 22.63=₹ \frac{2263}{100}$
$\therefore$ Price of 1 tablet
$\begin{aligned}
&\frac{\left(\frac{2263}{100}\right)}{30}=\frac{\left(\frac{2263}{100}\right)}{\left(\frac{30}{1}\right)} \\
&=\frac{2263}{100} \times \frac{1}{30} \\
&=\frac{2263}{30} \times \frac{1}{100} \\
&=\frac{2263}{3} \times \frac{1}{1000} \\
&=754.33 \times \frac{1}{1000} \\
&=\frac{754.33}{1000}
\end{aligned}$
$=0.75433$
Price of each tablet is ₹ $0.7543$