In-Text Questions (Try These Text Book Page No. 26,29,31) - Chapter 2 Integers Term 3 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

In-Text Questions
(Try These Text Book Page No. 26)

Question $1 .$
Read the following numbers orally.
(i) $+24$
(ii) $-13$
(iii) $-9$
(iv) 8
Solution:
(i) $+24$ is read as ' plus 24' or 'positive 24'
(ii) $-13$ is read as 'minus 13 ' or 'negative 13 '
(iii) $-9$ is read as 'minus 9 ' or ' negative 9 '
(iv) 8 is read as 'plus 8 ' or 'positive 8 ' or simply ' 8 '

Question $2 .$
Draw a number line and mark the following integers.
(i) 0
(ii) $-6$
(iii) 5
(iv) $-8$

Solution:

Question $3 .$
Are all natural numbers integers?
Solution:
Yes, all natural numbers are positive integers

Question $4 .$
Which part of the integers are not whole numbers?
Solution:
The numbers $0,1,2,3$, are whole numbers. Therefore negative part of the integers are not whole numbers.

Question 5 .
How many units should you move to the left of 3 to reach $-4$.
Solution:
From 3, we should move 7 units to the left to reach $-4$.

(Try These Text Book Page No. 29)
Question $1 .$
Find the opposite of the following numbers:
(i) 55
(ii) $-300$
(iii) $+5080$
(iv) $-2500$
(v) 0
Solution:
For every positive integer, there is a corresponding negative integer as its opposite number and vice versa

Question $2 .$
Represent the following situations as integers.
i) A loss of ₹ 2000
ii) $2018 \mathrm{CE}(\mathrm{AD})$
iii) Fishes found at $60 \mathrm{~m}$ below the sea level
iv) $18^{\circ} \mathrm{C}$ below $0^{\circ} \mathrm{C}$
v) Gaining 13 points
vi) A jet plane at a height of $2500 \mathrm{~m}$
Solution:
(i) Since loss is negative, a loss of $\mathrm{t} 2000$ is denoted as - ₹ 2000
(ii) Here CE (AD) can be considered as a positive number. Hence CE (AD) 2018 can be represented as $+2018$.
(iii) Below sea level is represented as $-60 \mathrm{~m}$.
(iv) $18^{\circ} \mathrm{C}$ below $0^{\circ} \mathrm{C}$ is represented as $-18^{\circ} \mathrm{C}$
(v) Gaining 13 points can be represented as $+13$
(vi) Height of $2500 \mathrm{~m}$ is represented as $+2500 \mathrm{~m}$.
 

Question $3 .$
Suppose in a building, there are 2 basement floors. If the ground floor is denoted as zero, how can we represent the basement floors?
Solution:
If the ground floor is denoted as 0 , basement floors are represented as $-1$ and $-2$.
 

(Try This Textbook Page No. 31)
Question $1 .$
For two numbers, say 3 and 5, we know that $5>3 .$ Will there be a change in the inequality if both the numbers have negative sign before them?
Solution:
We know that $5>3$
But when we change the sign of both the numbers we get $-5$ and $-3$.
Here $-5$ is 2 units to the left of- 3 and so $-5<3$.
$\therefore$ The inequality changes when the signs of both the numbers are changed.

Question $2 .$
Which is smaller $-3$ or $-5 ?$ Why?
Solution:
Comparing the numbers from the number line.
$-5$ is 2 units to the left of $-3$ and so $-5$ is smaller than $-3$. i.e. $-5<-3$
 

Question $3 .$
Which is greater 7 or $-4$ ? Why?

Solution:
7 is a positive integer and lies to the right of $0 .-4$ is a negative integer and lies to the left of 0 $\therefore 7>-4$

Question $4 .$
Which is the greatest negative integer?

Solution:
$-1$ is the greatest negative integer.
 

Question $5 .$
Which is the smallest positive integer?

Solution:
$+1$ is the smallest positive integer.