In Text Questions Try These (Text Book Page No. 1, 6, 7, 9,13,15) - Chapter 1 Number Systems Term 3 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 3 Class 7th std Maths Guide Samacheer Kalvi Solutions
Exercise $1.1$
Try These (Text book Page No. 1)
Question 1.
Represent the fraction $\frac{1}{4}$ in decimal form
Solution:
$\frac{1}{4}=\frac{1 \times 25}{4 \times 25}=\frac{25}{100}=0.25$

Question $2 .$
What is the place value of 5 in $63.257$.
Solution:
Place value of 5 in $63.257$ is 5 hundredths (Hundreth place)

Question $3 .$
Identify the digit in the tenth place of $75.036$.
Solution:
0

Question $4 .$
Express the decimal number $3.75$ as a fraction.
Solution:
$3.75=\frac{375}{100}=\frac{15}{4}$
 

Question $5 .$
Write the decimal number for the fraction $5 \frac{1}{5}$
Solution:
$5 \frac{1}{5}=\frac{26}{5}=\frac{26 \times 2}{5 \times 2}=\frac{52}{10}=5.2$

Question 6 .
Identify the biggest number : $0.567$ and $0.576$.
Solution:
Comparing the digits of $0.567$ and $0.576$ from left to right, we have the tenths place same comparing the hundredths place $7>6$.
$\Rightarrow 0.576>0.567$

Question 7.
Compare $3.30$ and $3.03$ and identify the smaller number.
Solution:
The whole number is equal in both the numbers.
Now comparing the tenths place we have $3>0$
$\Rightarrow 3.03<3.30$ Smaller number is $3.03$

Question 8 .
Put the appropriate sign $(<,>,=) .2 .57[] 2.570$
Solution:
$2.57[=] 2.570$
Question $9 .$
Arrange the following decimal numbers in ascending order.
$5.14,5.41,1.54,1.45,4.15,4.51$.
Solution:
Comparing the numbers from left to right. Ascending order : $1.45,1.54,4.15,4.51,5.14,5.41$
 

Exercise $1.2$
Try These (Text book Page No. 6)
Question 1.
Find the following using grid models:
(i) $0.83+0.04$
(ii) $0.35-0.09$
Solution:
(i) $0.83+0.04$
$0.83=\frac{83}{100}$ and $0.04=\frac{4}{100}$

Shading the regions
$0.83$ and $0.04$
The sum is the total shaded region.
$\mathrm{S}=0.83+0.04=0.87$
(ii) $0.35-0.09$
$0.35=\frac{35}{100} \text { and } 0.09=\frac{9}{100}$

Shading the regions $0.35$ by shading 35 boxes out of 100 . Striking off 9 boxes out of 35 shaded boxes to subtract $0.09$ from $0.35$.
The left over shaded boxes represent the required value.
$\therefore 0.35-0.09=0.26$

Try These (Text book Page No. 7)
Question $1 .$
Using the area models solve the following
(i) $1.2+3.5$
(ii) $3.5-2.3$
Solution:
(i) $1.2+3.5$

Here $1.2$ is represented in blue colour and $3.5$ is represented in Green colour. Sum of $1.2$ and $3.5$ is $4.7$.
(ii) $3.5-2.3$
3.5 - $2.3$

Representing $3.5$ using 3
Representing $3.5$ using 3 squares and 5 rectangular strips. Crossing out 2 squares from 3 squares and 3 rectangular strips from 5 to get the difference. So $3.5-2.3=1.2$.

Try These (Text book Page No. 9)
Question 1.
Complete the magic square in such a way that rows, columns and diagonals give the same sum $1.5$.

Exercise $1.3$
Think (Text book Page No. 13)
Question 1.
How are the products $2.1 \times 3.2$ and $21 \times 32$ alike? How are they different.
Solution:
$2.1 \times 3.2=6.72$ and $21 \times 32=672$.
In both the cases the digits ambers are the same. But the place value differs.
 

Try These (Text book Page No. 13)
Question $1 .$
Shade the grid to multiply $0.3 \times 0.6$.

Solution:

3 rows of Yellow represent $0.3,6$ columns of Red colour represent $0.6$ Double shaded 18 squares of orange colour
represent. $\therefore 0.3 \times 0.6=0.18$
$\therefore 0.3 \times 0.6=0.18$
 

Question 2.
Use the area model to multiply

Solution:

Here each row contains 1 whole and 2 tenths. Each column contains 2 wholes and 5 tenths. The entire area model represents 2 wholes 9 tenths and 10 hundredths ( $=1$ tenths). So $1.2 \times 2.5=3$.
 

Try These (Text book Page No. 14)
Question $1 .$
Complete the following table

Solution:

Try These (Text book Page No. 15)
Question $1 .$
Find:
$1.9 .13 \times 10$
2. $9.13 \times 100$
3. $9.13 \times 1000$
Solution:
1. $9.13 \times 10=91.3$
2. $9.13 \times 100=913$
$3.9 .13 \times 1000=9130$