#### Chapters

## Chapter 3: Integers

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

#### Choose the correct alternative:

Every integer less than 0 has the sign ______.

+

–

×

÷

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

+ 5

– 5

+ 4

– 4

The predecessor of the integer –1 is ______.

0

2

–2

1

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

1

2

3

0

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

10

3

4

5

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

–10

–11

–15

–14

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

–10

–11

–15

–14

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

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)

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

0

–3

–1

–2

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

0

1

2

3

The successor of the predecessor of – 50 is ______.

– 48

– 49

– 50

– 51

The additive inverse of a negative integer ______.

is always negative

is always positive

is the same integer

zero

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

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

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

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:

The smallest natural number is zero.

True

False

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

True

False

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

True

False

The successor of the integer 1 is 0.

True

False

Every positive integer is larger than every negative integer.

True

False

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

True

False

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

True

False

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

True

False

All whole numbers are integers

True

False

All integers are whole numbers.

True

False

Since 5 > 3, therefore –5 > –3

True

False

Zero is less than every positive integer.

True

False

Zero is larger than every negative integer.

True

False

Zero is neither positive nor negative.

True

False

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

True

False

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

True

False

The smallest integer is 0.

True

False

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

True

False

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

True

False

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

True

False

The sum of two negative integers is a positive integer.

True

False

The sum of three different integers can never be zero.

True

False

#### Fill in the blank:

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

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

The additive inverse of 14 is ______.

The additive inverse of –1 is ______.

The additive inverse of 0 is ______.

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

(–11) + (–2) + (–1) = ______.

______ + (–11) + 111 = 130

(–80) + 0 + (–90) = ______.

______ – 3456 = –8910

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

(–11) + (–15) ______ 11 + 15

(–71) + (+9) ______ (–81) + (–9)

0 ______ 1

–60 ______ 50

–10 ______ –11

–101 ______ –102

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

0 ______ –2

1 + 2 + 3 ______ (–1) + (–2) + (–3)

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

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 |

Compute the following:

30 + (–25) + (–10)

Compute the following:

(–20) + (–5)

Compute the following:

70 + (–20) + (–30)

Compute the following:

–50 + (–60) + 50

Compute the following:

1 + (–2) + (– 3) + (– 4)

Compute the following:

0 + (– 5) + (– 2)

Compute the following:

0 – (–6) – (+6)

Compute the following:

0 – 2 – (–2)

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

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

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

Sea level

Write the opposite of the following:

Decrease in size

Write the opposite of the following:

Failure

Write the opposite of the following:

Profit of Rs.10

Write the opposite of the following:

1000 A.D.

Write the opposite of the following:

Rise in water level

Write the opposite of the following:

60 km south

Write the opposite of the following:

10 m above the danger mark of river Ganga

Write the opposite of the following:

20 m below the danger mark of the river Brahmaputra

Write the opposite of the following:

Winning by a margin of 2000 votes

Write the opposite of the following:

Depositing Rs.100 in the Bank account

Write the opposite of the following:

20°C rise in temperature

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?

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

Write the integer which is its own additive inverse.

Write six distinct integers whose sum is 7.

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

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

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

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

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

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

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

Observe the following:

1 + 2 – 3 + 4 + 5 – 6 – 7 + 8 – 9 = –5

Change one ‘–’ sign as ‘+’ sign to get the sum 9.

Arrange the following integers in the ascending order:

–2, 1, 0, –3, +4, –5

Arrange the following integers in the descending order:

–3, 0, –1, –4, –3, –6

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

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

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

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

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

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

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

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

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

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

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

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

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

## Chapter 3: Integers

## 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.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

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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