# NCERT solutions for Mathematics Exemplar Class 6 chapter 3 - Integers [Latest edition]

#### Chapters ## Chapter 3: Integers

Exercise
Exercise [Pages 45 - 51]

### NCERT solutions for Mathematics Exemplar Class 6 Chapter 3 Integers Exercise [Pages 45 - 51]

#### Choose the correct alternative:

Exercise | Q 1 | Page 45

Every integer less than 0 has the sign ______.

• +

• ×

• ÷

Exercise | Q 2 | Page 45

The integer ‘5 units to the right of 0 on the number line’ is ______.

• + 5

• – 5

• + 4

• – 4

Exercise | Q 3 | Page 45

The predecessor of the integer –1 is ______.

• 0

• 2

• –2

• 1

Exercise | Q 4 | Page 45

Number of integers lying between –1 and 1 is ______.

• 1

• 2

• 3

• 0

Exercise | Q 5 | Page 45

Number of whole numbers lying between –5 and 5 is ______.

• 10

• 3

• 4

• 5

Exercise | Q 6 | Page 45

The greatest integer lying between –10 and –15 is ______.

• –10

• –11

• –15

• –14

Exercise | Q 7 | Page 46

The least integer lying between –10 and –15 is ______.

• –10

• –11

• –15

• –14

Exercise | Q 8 | Page 46

On the number line, the integer 5 is located ______.

• To the left of 0

• To the right of 0

• To the left of 1

• To the left of –2

Exercise | Q 9 | Page 46

In which of the following pairs of integers, the first integer is not on the left of the other integer on the number line?

• (–1, 10)

• (–3, –5)

• (–5, –3)

• (–6, 0)

Exercise | Q 10 | Page 46

The integer with negative sign (–) is always less than ______.

• 0

• –3

• –1

• –2

Exercise | Q 11 | Page 46

An integer with positive sign (+) is always greater than ______.

• 0

• 1

• 2

• 3

Exercise | Q 12 | Page 46

The successor of the predecessor of – 50 is ______.

• – 48

• – 49

• – 50

• – 51

Exercise | Q 13 | Page 46

The additive inverse of a negative integer ______.

• is always negative

• is always positive

• is the same integer

• zero

Exercise | Q 14 | Page 46

Amulya and Amar visited two places A and B respectively in Kashmir and recorded the minimum temperatures on a particular day as –4°C at A and –1°C at B. Which of the following statement is true?

• A is cooler than B

• B is cooler than A

• There is a difference of 2°C in the temperature

• The temperature at A is 4°C higher than that at B

Exercise | Q 15 | Page 46

When a negative integer is subtracted from another negative integer, the sign of the result ______.

• is always negative

• is always positive

• is never negative

• depends on the numerical value of the integers

Exercise | Q 16 | Page 47

The statement “When an integer is added to itself, the sum is greater than the integer” is ______.

• Always true

• Never true

• True only when the integer is positive

• True for non-negative integers

Exercise | Q 17 | Page 47

Which of the following shows the maximum rise in temperature?

• 0°C to 10°C

• –4°C to 8°C

• –15°C to –8°C

• –7°C to 0°C

#### State whether the following statement is True or False:

Exercise | Q 18 | Page 47

The smallest natural number is zero.

• True

• False

Exercise | Q 19 | Page 47

Zero is not an integer as it is neither positive nor negative.

• True

• False

Exercise | Q 20 | Page 47

The sum of all the integers between –5 and –1 is –6.

• True

• False

Exercise | Q 21 | Page 47

The successor of the integer 1 is 0.

• True

• False

Exercise | Q 22 | Page 47

Every positive integer is larger than every negative integer.

• True

• False

Exercise | Q 23 | Page 47

The sum of any two negative integers is always greater than both the integers.

• True

• False

Exercise | Q 24 | Page 47

The sum of any two negative integers is always smaller than both the integers.

• True

• False

Exercise | Q 25 | Page 47

The sum of any two positive integers is greater than both the integers.

• True

• False

Exercise | Q 26 | Page 47

All whole numbers are integers

• True

• False

Exercise | Q 27 | Page 47

All integers are whole numbers.

• True

• False

Exercise | Q 28 | Page 47

Since 5 > 3, therefore –5 > –3

• True

• False

Exercise | Q 29 | Page 47

Zero is less than every positive integer.

• True

• False

Exercise | Q 30 | Page 47

Zero is larger than every negative integer.

• True

• False

Exercise | Q 31 | Page 47

Zero is neither positive nor negative.

• True

• False

Exercise | Q 32 | Page 47

On the number line, an integer on the right of a given integer is always larger than the integer.

• True

• False

Exercise | Q 33 | Page 48

–2 is to the left of –5 on the number line.

• True

• False

Exercise | Q 34 | Page 48

The smallest integer is 0.

• True

• False

Exercise | Q 35 | Page 48

6 and – 6 are at the same distance from 0 on the number line.

• True

• False

Exercise | Q 36 | Page 48

The difference between an integer and its additive inverse is always even.

• True

• False

Exercise | Q 37 | Page 48

The sum of an integer and its additive inverse is always zero.

• True

• False

Exercise | Q 38 | Page 48

The sum of two negative integers is a positive integer.

• True

• False

Exercise | Q 39 | Page 48

The sum of three different integers can never be zero.

• True

• False

#### Fill in the blank:

Exercise | Q 40 | Page 48

On the number line, –15 is to the ______ of zero.

Exercise | Q 41 | Page 48

On the number line, 10 is to the ______ of zero.

Exercise | Q 42 | Page 48

The additive inverse of 14 is ______.

Exercise | Q 43 | Page 48

The additive inverse of –1 is ______.

Exercise | Q 44 | Page 48

The additive inverse of 0 is ______.

Exercise | Q 45 | Page 48

The number of integers lying between –5 and 5 is ______.

Exercise | Q 46 | Page 48

(–11) + (–2) + (–1) = ______.

Exercise | Q 47 | Page 48

______ + (–11) + 111 = 130

Exercise | Q 48 | Page 48

(–80) + 0 + (–90) = ______.

Exercise | Q 49 | Page 48

______ – 3456 = –8910

#### Fill in the blanks using <, = or >:

Exercise | Q 50 | Page 48

(–11) + (–15) ______ 11 + 15

Exercise | Q 51 | Page 48

(–71) + (+9) ______ (–81) + (–9)

Exercise | Q 52 | Page 48

0 ______ 1

Exercise | Q 53 | Page 48

–60 ______ 50

Exercise | Q 54 | Page 48

–10 ______ –11

Exercise | Q 55 | Page 48

–101 ______ –102

Exercise | Q 56 | Page 48

(–2) + (–5) + (–6) ______ (–3) + (–4) + (–6)

Exercise | Q 57 | Page 48

0 ______ –2

Exercise | Q 58 | Page 48

1 + 2 + 3 ______ (–1) + (–2) + (–3)

#### Match the items of Column I with that of Column II:

Exercise | Q 59 | Page 49
 Column I Column II (i) The additive inverse of +2 (A) 0 (ii) The greatest negative integer (B) –2 (iii) The greatest negative even integer (C) 2 (iv) The smallest integer greater than every negative integer (D) 1 (v) Sum of predecessor and successor of –1 (E) –1
Exercise | Q 60.(a) | Page 49

Compute the following:

30 + (–25) + (–10)

Exercise | Q 60.(b) | Page 49

Compute the following:

(–20) + (–5)

Exercise | Q 60.(c) | Page 49

Compute the following:

70 + (–20) + (–30)

Exercise | Q 60.(d) | Page 49

Compute the following:

–50 + (–60) + 50

Exercise | Q 60.(e) | Page 49

Compute the following:

1 + (–2) + (– 3) + (– 4)

Exercise | Q 60.(f) | Page 49

Compute the following:

0 + (– 5) + (– 2)

Exercise | Q 60.(g) | Page 49

Compute the following:

0 – (–6) – (+6)

Exercise | Q 60.(h) | Page 49

Compute the following:

0 – 2 – (–2)

Exercise | Q 61.(a) | Page 49

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, write the following using integers with the appropriate signs:

200 m above sea level

Exercise | Q 61.(b) | Page 49

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, write the following using integers with the appropriate signs:

100 m below sea level

Exercise | Q 61.(c) | Page 49

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, write the following using integers with the appropriate signs:

10 m above sea level

Exercise | Q 61.(d) | Page 49

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, write the following using integers with the appropriate signs:

Sea level

Exercise | Q 62.(a) | Page 49

Write the opposite of the following:

Decrease in size

Exercise | Q 62.(b) | Page 49

Write the opposite of the following:

Failure

Exercise | Q 62.(c) | Page 49

Write the opposite of the following:

Profit of Rs.10

Exercise | Q 62.(d) | Page 49

Write the opposite of the following:

1000 A.D.

Exercise | Q 62.(e) | Page 49

Write the opposite of the following:

Rise in water level

Exercise | Q 62.(f) | Page 49

Write the opposite of the following:

60 km south

Exercise | Q 62.(g) | Page 49

Write the opposite of the following:

10 m above the danger mark of river Ganga

Exercise | Q 62.(h) | Page 49

Write the opposite of the following:

20 m below the danger mark of the river Brahmaputra

Exercise | Q 62.(i) | Page 49

Write the opposite of the following:

Winning by a margin of 2000 votes

Exercise | Q 62.(j) | Page 49

Write the opposite of the following:

Depositing Rs.100 in the Bank account

Exercise | Q 62.(k) | Page 49

Write the opposite of the following:

20°C rise in temperature

Exercise | Q 63 | Page 49

Temperature of a place at 12:00 noon was +5°C. Temperature increased by 3°C in first hour and decreased by 1°C in the second hour. What was the temperature at 2:00 pm?

Exercise | Q 64 | Page 50

Write the digits 0, 1, 2, 3, ..., 9 in this order and insert ‘+’ or ‘–’ between them to get the result 3.

Exercise | Q 65 | Page 50

Write the integer which is its own additive inverse.

Exercise | Q 66 | Page 50

Write six distinct integers whose sum is 7.

Exercise | Q 67 | Page 50

Write the integer which is 4 more than its additive inverse.

Exercise | Q 68 | Page 50

Write the integer which is 2 less than its additive inverse.

Exercise | Q 69 | Page 50

Write two integers whose sum is less than both the integers.

Exercise | Q 70 | Page 50

Write two distinct integers whose sum is equal to one of the integers.

Exercise | Q 71.(a) | Page 50

Using number line, how do you compare two negative integers?

Exercise | Q 71.(b) | Page 50

Using number line, how do you compare two positive integers?

Exercise | Q 71.(c) | Page 50

Using number line, how do you compare one positive and one negative integer?

Exercise | Q 72 | Page 50

Observe the following:
1 + 2 – 3 + 4 + 5 – 6 – 7 + 8 – 9 = –5
Change one ‘–’ sign as ‘+’ sign to get the sum 9.

Exercise | Q 73 | Page 50

Arrange the following integers in the ascending order:

–2, 1, 0, –3, +4, –5

Exercise | Q 74 | Page 50

Arrange the following integers in the descending order:

–3, 0, –1, –4, –3, –6

Exercise | Q 75 | Page 50

Write two integers whose sum is 6 and difference is also 6.

Exercise | Q 76 | Page 50

Write five integers which are less than –100 but greater than –150.

Exercise | Q 77 | Page 50

Write four pairs of integers which are at the same distance from 2 on the number line.

Exercise | Q 78 | Page 50

The sum of two integers is 30. If one of the integers is – 42, then find the other.

Exercise | Q 79 | Page 50

Sum of two integers is –80. If one of the integers is –90, then find the other.

Exercise | Q 80.(a) | Page 51

If we are at 8 on the number line, in which direction should we move to reach the integer –5

Exercise | Q 80.(b) | Page 51

If we are at 8 on the number line, in which direction should we move to reach the integer 11

Exercise | Q 80.(c) | Page 51

If we are at 8 on the number line, in which direction should we move to reach the integer 0?

Exercise | Q 81.(a) | Page 51

Using the number line, write the integer which is 4 more than –5

Exercise | Q 81.(b) | Page 51

Using the number line, write the integer which is 3 less than 2

Exercise | Q 81.(c) | Page 51

Using the number line, write the integer which is 2 less than –2

Exercise | Q 82 | Page 51

Find the value of 49 – (–40) – (–3) + 69

Exercise | Q 83 | Page 51

Subtract –5308 from the sum [(–2100) + (–2001)]

## Chapter 3: Integers

Exercise ## NCERT solutions for Mathematics Exemplar Class 6 chapter 3 - Integers

NCERT solutions for Mathematics Exemplar Class 6 chapter 3 (Integers) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Exemplar Class 6 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics Exemplar Class 6 chapter 3 Integers are Concept for Natural Numbers, Concept for Whole Numbers, Negative and Positive Numbers, Concept of Integers, Representation of Integers on the Number Line, Concept for Ordering of Integers, Addition of Integers, Addition of Integers on Number line, Additive Inverse, Subtraction of Integers.

Using NCERT Class 6 solutions Integers exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 6 prefer NCERT Textbook Solutions to score more in exam.

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