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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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
Answer:

(i) 100
(ii) -7
(iii) left
(iv) 11
(v) 0

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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
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
Answer:

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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
Answer:

(i) -3
(ii) -2

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

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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
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
Answer:

(i) <
(ii) <
(iii) >
(iv) =
(v) >

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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
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
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, -888Objective 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
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
Answer:

(a) 20

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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
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
Answer:

(c) -2

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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
Answer:

(b) 0

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Q.1Write two different real-life situations that represent the integer -3.v
Answer:

(i) A sapling planted at a depth of 3m
(ii) Sheela lost ₹ 3 on selling an apple.

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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
Answer:

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

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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
Answer:

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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
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
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. (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
Answer:

(i) – 10°C
(ii) – 5°C
(iii) -20°C
(iv) -15°C

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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
Answer:

S < Q < 0 < R < P

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