Term 3 · Class 6 Maths · Chapter 2

Samacheer Class 6 Maths - Integers

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Chapter-wise textbook exercise answers for Integers with validation-aware solutions.

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Book Back Questions 24
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1Book Back Questions24 questions
Q.1Fill 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.v
Solution

(i) 100
(ii) -7
(iii) left
(iv) 11
(v) 0
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

Answer:

(i) 100
(ii) -7
(iii) left
(iv) 11
(v) 0
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

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Q.2Say 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.v
Solution

(i) True
(ii) False
(iii) False
(iv) False
(v) True

Answer:

(i) True
(ii) False
(iii) False
(iv) False
(v) True

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

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1 1

Answer:

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1 1

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Q.4On the number line, which number is (i) 4 units to the right of -7? (ii) 5 units to the left of 3?v
Solution

(i) -3
(ii) -2
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

Answer:

(i) -3
(ii) -2
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

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Q.5Find the opposite of the following numbers. (i) 44 (ii) -19 (iii) 0 (iv) -312 (v) 789v
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.

Answer:

(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.

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Q.6If 15 km east of a place is denoted as +15 km, What is the integer that represents 15 km west of it?v
Solution

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

Answer:

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

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Q.7From the following number lines, identify the correct and the wrong representations with reason. Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1 2v
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.
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

Answer:

(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.
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

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Q.8Write all the integers between the given numbers. (i) 7 and 10 (ii) -5 and 4 (iii) -3 and 3 (iv) -5 and 0v
Solution

(i) 8, 9
(ii) -4, -3, -2, -1, 0, 1, 2, 3
(iii) -2, -1, 0, 1, 2
(iv) -4, -3, -2, -1

Answer:

(i) 8, 9
(ii) -4, -3, -2, -1, 0, 1, 2, 3
(iii) -2, -1, 0, 1, 2
(iv) -4, -3, -2, -1

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Q.9Put the appropriate signs as <, > or = in the blank. (i) -7 ___ 8 (ii) -8 ___ -7 (iii) -999 ___ -1000 (iv) 0 ___ -200v
Solution

(i) <
(ii) <
(iii) >
(iv) =
(v) >
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

Answer:

(i) <
(ii) <
(iii) >
(iv) =
(v) >
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

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Q.10Arrange 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, -10v
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.

Answer:

(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.

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Q.11Arrange 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, -888v
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
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1
Objective Type Questions

Answer:

(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
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1
Objective Type Questions

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Q.12There are ……… positive integers from -5 to 6.v
  1. A. 5
  2. B. 6
  3. C. 7
  4. D. 11
Solution

(c) 7

Answer:

(c) 7

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Q.13The opposite of 20 units to the left of 0 isv
  1. A. 20
  2. B. 0
  3. C. -20
  4. D. 40
Solution

(a) 20
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

Answer:

(a) 20
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

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Q.14One unit to the right of -7 isv
  1. A. +1
  2. B. -8
  3. C. -7
  4. D. -6
Solution

(d) -6

Answer:

(d) -6

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Q.153 units to the left of 1 isv
  1. A. -4
  2. B. -3
  3. C. -2
  4. D. 3
Solution

(c) -2
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

Answer:

(c) -2
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.1

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Q.16The number which determines marking the position of any number to its opposite on a number line isv
  1. A. -1
  2. B. 0
  3. C. 1
  4. D. 10
Solution

(b) 0
Posted in Class 6 on January 23, 2024 January 24, 2025
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Answer:

(b) 0
Posted in Class 6 on January 23, 2024 January 24, 2025
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Q.1Write two different real-life situations that represent the integer -3.v
Solution

(i) A sapling planted at a depth of 3m
(ii) Sheela lost ₹ 3 on selling an apple.
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2

Answer:

(i) A sapling planted at a depth of 3m
(ii) Sheela lost ₹ 3 on selling an apple.
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2

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Q.2Mark the following numbers on a number line. (i) All integers which are greater than -7 but less than 7. (ii) The opposite of 3. (iii) 5 units to the left of -1.v
Solution

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 1

Answer:

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 1

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Q.3Construct a number line that shows the depth of 10 feet from the ground level and its opposite.v
Solution

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 2

Answer:

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 2

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Q.4identify the integers and mark on the number line that are at a distance of 8 units from – 6.v
Solution

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 3
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2

Answer:

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 3
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2

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Q.7Find the integers that are 4 units to the left of 0 and 2 units to the right of -3?v
Solution

-4, -1
Challenge Problems

Answer:

-4, -1
Challenge Problems

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Q.8Is there the smallest and the largest number in the set of integers? Give reason.v
Solution

No, we cannot find the smallest (-) and largest (+) number in the set of integers, as the numbers on the number line extend on both sides without an end.

Answer:

No, we cannot find the smallest (-) and largest (+) number in the set of integers, as the numbers on the number line extend on both sides without an end.

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Q.9Look at the Celsius Thermometer and answer the following questions. Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2 6 (i) What is the temperature that is shown in the Thermometer? (ii) Where will you mark the temperature 5°C below 0° C in the Thermometer? (iii) What will be the temperature, if 10° C is reduced from the temperature shown in the Thermometer? (iv) Mark the opposite of 15° C in the Thermometer.v
Solution

(i) – 10°C
(ii) – 5°C
(iii) -20°C
(iv) -15°C
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2

Answer:

(i) – 10°C
(ii) – 5°C
(iii) -20°C
(iv) -15°C
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 2 Integers Ex 2.2

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Q.10P, Q, R, and S are four different integers on a number line. From the following clues, find these integers and write them in ascending order. (i) S is the least of the given integers. (ii) R is the smallest positive integer. (iii) The integers P and S are at the same distance from 0. (iv) Q is 2 units to the left of integer R.v
Solution

S < Q < 0 < R < P

Answer:

S < Q < 0 < R < P

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