Additional Questions - Chapter 2 - Integers - Term 3 - 6th Maths Guide Samacheer Kalvi Solutions

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Additional Questions
Additional Questions and Problems
Question $1 .$
Write all the integers between $-5$ and 10 .
Solution:
On the number line, the number increases as we move to right and decreases as we move to the left $\therefore-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9$.

Question $2 .$
Write the opposite of each of the following
a) Profit of ₹ 500
b) Deposit of ₹ 2000
c) $50 \mathrm{~km}$ towards south
Solution:
The opposite of each are
a) loss of ₹ 500
b) withdrawal of $₹ 2000$
c) $50 \mathrm{~km}$ towards North.

Question $3 .$
Write the succeeding number of the following

Solution:

We know that one more than the given number is its successor

Question 4.

Write the preceding number of the following

Solution:

We know that one more than the given number is its successor

Question $5 .$
Write the following numbers with appropriate signs.
a) $100 \mathrm{~m}$ below sea level
b) $25^{\circ} \mathrm{C}$ above $0^{\circ} \mathrm{C}$
c) Any 3 numbers less than 0
Solution:
a) $-100 \mathrm{~m}$
b) $+25^{\circ} \mathrm{C}$
c) $-1,-2,-3$

Question 6 .
Mark $-4,-6,-2$ and 3 on the number line
Solution:

Question $7 .$
Draw a number line and answer the following.
a) Which number will we reach, if we move 4 numbers to the right of-2?
b) Which number will we reach, if we move 5 numbers to the left of 1 ?
c) If we are at $-8$ on the number line, in which direction should we move to reach $-13$ ?
d) If we are at $-6$ on the number line in which direction should we move to reach $-1$ ?
Solution:

(a) 2
(b) $-4$
(c) left
(d) right

Question $8 .$
a) Write four negative integers greater than $-15 ?$
b) Write four negative integers less than $-5 ?$
Solution:
a) $-11,-10,-5,-1$,
b) $-7,-15,-18,-20$

Question $9 .$
Compare the following using $<$ or $>$
i) $0 \square-5$
ii) $-1 \square-15$
iii) $-10 \square 2$

Solution:

Question 10 .
Represent the following as integers
a) A deposit of rupees two thousand
b) An aeroplane is flying at a height of three thousand metres above the ground.
Solution:
a) $+₹ 2000$
b) $+3000 \mathrm{~m}$