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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 2 Integers Ex 2.1

Question 1.

Fill in the blanks:

(i) The potable water available at 100 m below the ground level is denoted as ……… m.

(ii) A swimmer dives to a depth of 7 feet from the ground into the swimming pool. The integer that represents this, is ……… feet.

(iii) -46 is to the ……….. of -35 on the number line.

(iv) There are ……… integers from -5 to +5 (both inclusive)

(v) …….. is an integer which is neither positive nor negative.

Solution:

(i) 100

(ii) -7

(iii) left

(iv) 11

(v) 0

Question 2.

Say True or False

(i) Each of the integers -18, 6, -12, 0 is greater than -20.

(ii) -1 is to the right of 0.

(iii) -10 and 10 are at equal distance from 1.

(iv) All negative integers are greater than zero.

(v) All whole numbers are integers.

Solution:

(i) True

(ii) False

(iii) False

(iv) False

(v) True

Question 3.

Mark the numbers 4, -3, 6, -1 and -5 on the number line.

Solution:

Question 4.

On the number line, which number is

(i) 4 units to the right of -7?

(ii) 5 units to the left of 3?

Solution:

(i) -3

(ii) -2

Question 5.

Find the opposite of the following numbers.

(i) 44

(ii) -19

(iii) 0

(iv) -312

(v) 789

Solution:

(i) Opposite of 44 is – 44

(ii) Opposite of-19 is + 19 or 19

(iii) Opposite of 0 is 0

(iv) Opposite of-312 is + 312 or 312

(v) Opposite of 789 is – 789.

Question 6.

If 15 km east of a place is denoted as +15 km, What is the integer that represents 15 km west of it?

Solution:

Opposite of east is west.

∴ If 15 km east is + 15 km, then 15 km west is – 15 km.

Question 7.

From the following number lines, identify the correct and the wrong representations with reason.

Solution:

(i) Wrong, Integers are not continuously marked

(ii) Correct, Integers are correctly marked.

(iii) Wrong, Integer -2 is marked wrongly.

(iv) Correct, Integers are marked at equal distance.

(v) Wrong, negative integers marked wrongly.

Question 8.

Write all the integers between the given numbers.

(i) 7 and 10

(ii) -5 and 4

(iii) -3 and 3

(iv) -5 and 0

Solution:

(i) 8, 9

(ii) -4, -3, -2, -1, 0, 1, 2, 3

(iii) -2, -1, 0, 1, 2

(iv) -4, -3, -2, -1

Question 9.

Put the appropriate signs as <, > or = in the blank.

(i) -7 ___ 8

(ii) -8 ___ -7

(iii) -999 ___ -1000

(iv) 0 ___ -200

Solution:

(i) <

(ii) <

(iii) >

(iv) =

(v) >

Question 10.

Arrange the following integers in ascending order.

(i) -11, 12, -13, 14, -15, 16, -17, 18, -19, -20

(ii) -28, 6, -5, -40, 8, 0, 12, -1, 4, 22

(iii) -100, 10, -1000, 100, 0, -1, 1000, 1, -10

Solution:

(i) -11, 12, -13, 14, -15, 16, -17, 18, -19, -20

- First separating the positive integers 12, 14, 16, 18 and the negative integers -11,-13,-15,-17,-19,-20.
- Then arranging the positive integers in ascending order we get 12, 14, 16, 18 and negative integers in ascending order as -20, -19, -17, -15, -13, -11 4
- Now the ascending order : -20, -19, -17, -15, -13, -11, 12, 14, 16, 18.

(ii) -28, 6, -5, -40, 8, 0, 12, -1, 4, 22

- Positive integers are 6, 8, 12, 4, 22 Negative integers are -28, -5, -40, -1
- Arranging the positive integers in ascending order we get 4, 6, 8, 12, 22 and the negative integers in ascending order -40, -28, -5, -1
- The number 0 is neither positive nor negative and stands in the middle.
- In ascending order : -40, -28, -5, -1, 0, 4, 6, 8,12, 22

(iii) -100, 10, -1000, 100, 0, -1, 1000, 1, -10

- Separating positive integers 10, 100, 1000, 1 and negative integers -100, -1000, -1, -10.
- Now the positive integers in ascending order 1,10,100,1000 and the negative integers in ascending order. -1000, -100, -10, -1
- Also ‘0’ stand in the middle as its is neither positive nor negative.
- ∴ The numbers in ascending order: -1000, -100, -10, -1, 0, 1, 10, 100, 1000.

Question 11.

Arrange the following integers in descending order.

(i) 14, 27, 15, -14, -9, 0, 11, -17

(ii) -99, -120, 65, -46, 78, 400, -600

(iii) 111, -222, 333, -444, 555, -666, 777, -888

Solution:

(i) 27, 15, 14, 11, 0, -9, -14, -17

(ii) 400, 78, 65, -46, -99, -120, -600

(iii) 777, 555, 333, 111, -222, -444, -666, -888

Objective Type Questions

Question 12.

There are ……… positive integers from -5 to 6.

(a) 5

(b) 6

(c) 7

(d) 11

Solution:

(c) 7

Question 13.

The opposite of 20 units to the left of 0 is

(a) 20

(b) 0

(c) -20

(d) 40

Solution:

(a) 20

Question 14.

One unit to the right of -7 is

(a) +1

(b) -8

(c) -7

(d) -6

Solution:

(d) -6

Question 15.

3 units to the left of 1 is

(a) -4

(b) -3

(c) -2

(d) 3

Solution:

(c) -2

Question 16.

The number which determines marking the position of any number to its opposite on a number line is

(a) -1

(b) 0

(c) 1

(d) 10

Solution:

(b) 0