# RS Aggarwal solutions for Class 6 Mathematics chapter 4 - Integers [Latest edition]

#### Chapters

Chapter 1: Number System

Chapter 2: Factors and Multiples

Chapter 3: Whole Numbers

Chapter 4: Integers

Chapter 5: Fractions

Chapter 6: Simplification

Chapter 7: Decimals

Chapter 8: Algebraic Expressions

Chapter 9: Linear Equation in One Variable

Chapter 10: Ratio, Proportion and Unitary Method

Chapter 11: Line Segment, Ray and Line

Chapter 12: Parallel Lines

Chapter 13: Angles and Their Measurement

Chapter 14: Constructions (Using Ruler and a Pair of Compasses)

Chapter 15: Polygons

Chapter 16: Triangles

Chapter 18: Circles

Chapter 19: Three-Dimensional Shapes

Chapter 20: Two-Dimensional Reflection Symmetry (Linear Symmetry)

Chapter 21: Concept of Perimeter and Area

Chapter 22: Data Handling

Chapter 23: Pictograph

Chapter 24: Bar Graph

## Chapter 4: Integers

Exercise 4AExercise 4BExercise 4CExercise 4DExercise 4EExercise 4FTest Paper 4
Exercise 4A [Pages 63 - 64]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Exercise 4A [Pages 63 - 64]

Exercise 4A | Q 1.01 | Page 63

Write the opposite of the following: An increase of 8

Exercise 4A | Q 1.02 | Page 63

Write the opposite of the following: A loss of Rs 7

Exercise 4A | Q 1.03 | Page 63

Write the opposite of the following: Gaining a weight of 5 kg

Exercise 4A | Q 1.04 | Page 63

Write the opposite of the following: 10 km above sea level

Exercise 4A | Q 1.05 | Page 63

Write the opposite of the following: 5°C below the freezing point

Exercise 4A | Q 1.06 | Page 63

Write the opposite of the following: A deposit of Rs 100

Exercise 4A | Q 1.07 | Page 63

Write the opposite of the following: Earning Rs 500

Exercise 4A | Q 1.08 | Page 63

Write the opposite of the following: Going 6m to the east

Exercise 4A | Q 1.09 | Page 63

Write the opposite of the following: 24

Exercise 4A | Q 1.1 | Page 63

Write the opposite of the following: -34

Exercise 4A | Q 2.1 | Page 63

Indicate the following using '+' or '−' sign: A gain of Rs 600

• +

• -

Exercise 4A | Q 2.2 | Page 63

Indicate the following using '+' or '−' sign: A loss of Rs 800

• +

• -

Exercise 4A | Q 2.3 | Page 63

Indicate the following using '+' or '−' sign: 7°C below the freezing point

• +

• -

Exercise 4A | Q 2.4 | Page 63

Indicate the following using '+' or '−' sign: Decrease of 9

• +

• -

Exercise 4A | Q 2.5 | Page 63

Indicate the following using '+' or '−' sign: 2 km above sea level

• +

• -

Exercise 4A | Q 2.6 | Page 63

Indicate the following using '+' or '−' sign: 3 km below sea level

• +

• -

Exercise 4A | Q 2.7 | Page 63

Indicate the following using '+' or '−' sign: A deposit of Rs 200

• +

• -

Exercise 4A | Q 2.8 | Page 63

Indicate the following using '+' or '−' sign: A withdrawal of Rs 300

• +

• -

Exercise 4A | Q 3.1 | Page 64

Mark the following integers on a number line: -5

Exercise 4A | Q 3.2 | Page 64

Mark the following integers on a number line: -2

Exercise 4A | Q 3.3 | Page 64

Mark the following integers on a number line: 0

Exercise 4A | Q 3.4 | Page 64

Mark the following integers on a number line: 7

Exercise 4A | Q 3.5 | Page 64

Mark the following integers on a number line: -13

Exercise 4A | Q 4.1 | Page 64

Which number is larger in the following pair?

• 0

• -2

Exercise 4A | Q 4.2 | Page 64

Which number is larger in the following pair?

• -3

• -5

Exercise 4A | Q 4.3 | Page 64

Which number is larger in the following pair?

• -5

• 2

Exercise 4A | Q 4.4 | Page 64

Which number is larger in the following pair?

• -16

• 8

Exercise 4A | Q 4.5 | Page 64

Which number is larger in the following pair?

• -365

• -913

Exercise 4A | Q 4.6 | Page 64

Which number is larger in the following pair?

• -888

• 8

Exercise 4A | Q 5.1 | Page 64

Which number is smaller in the following pair?

• 6

• -7

Exercise 4A | Q 5.2 | Page 64

Which number is smaller in the following pair?

• 0

• -1

Exercise 4A | Q 5.3 | Page 64

Which number is smaller in the following pair?

• -13

• -27

Exercise 4A | Q 5.4 | Page 64

Which number is smaller in the following pair?

• -26

• 17

Exercise 4A | Q 5.5 | Page 64

Which number is smaller in the following pair?

• -317

• -603

Exercise 4A | Q 5.6 | Page 64

Which number is smaller in the following pair?

• -777

• 7

Exercise 4A | Q 6.1 | Page 64

Write all integers between: 0 and 6

Exercise 4A | Q 6.2 | Page 64

Write all integers between: -5 and 0

Exercise 4A | Q 6.3 | Page 64

Write all integers between: -3 and 3

Exercise 4A | Q 6.4 | Page 64

Write all integers between: -7 and -5

Exercise 4A | Q 7.1 | Page 64

Fill in the blanks by appropriate symbol

0 ...... 7

• >

• <

Exercise 4A | Q 7.2 | Page 64

Fill in the blanks by appropriate symbol

0 ...... −3

• >

• <

Exercise 4A | Q 7.3 | Page 64

Fill in the blanks by appropriate symbol

−5 ...... −2

• >

• <

Exercise 4A | Q 7.4 | Page 64

Fill in the blanks by appropriate symbol

-15 ...... 13

• >

• <

Exercise 4A | Q 7.5 | Page 64

Fill in the blanks by appropriate symbol

−231 ...... −132

• >

• <

Exercise 4A | Q 7.6 | Page 64

Fill in the blanks by appropriate symbol

-6 ...... 6

• >

• <

Exercise 4A | Q 8.1 | Page 64

Write the following integers in the increasing order: 5, −7, −2, 0, 8

Exercise 4A | Q 8.2 | Page 64

Write the following integers in the increasing order: −23, 12, 0, −6, −100, −1

Exercise 4A | Q 8.3 | Page 64

Write the following integers in the increasing order: −17, 15, −363, −501, 165

Exercise 4A | Q 8.4 | Page 64

Write the following integers in the increasing order: 21, −106, −16, 16, 0, −2, −81

Exercise 4A | Q 9.1 | Page 64

Write the following integers in the decreasing order: 0, 7, −3, −9, −132, 36

Exercise 4A | Q 9.2 | Page 64

Write the following integers in the decreasing order: 51, −53, −8, 0, −2

Exercise 4A | Q 9.3 | Page 64

Write the following integers in the decreasing order: −71, −81, 36, 0, −5

Exercise 4A | Q 9.4 | Page 64

Write the following integers in the decreasing order: −365, −515, 102, 413, −7

Exercise 4A | Q 10.1 | Page 64

Using the number line, write the integer which is: 4 more than 6

Exercise 4A | Q 10.2 | Page 64

Using the number line, write the integer which is: 5 more than −6

Exercise 4A | Q 10.3 | Page 64

Using the number line, write the integer which is: 6 less than 2

Exercise 4A | Q 10.4 | Page 64

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

Exercise 4A | Q 11.1 | Page 64

For the following statement, write (T) for true and (F) for false:

The smallest integer is zero.

• True

• False

Exercise 4A | Q 11.2 | Page 64

For the following statement, write (T) for true and (F) for false:

Zero is not an integer.

• True

• False

Exercise 4A | Q 11.3 | Page 64

For the following statement, write (T) for true and (F) for false:

The opposite of zero is zero.

• True

• False

Exercise 4A | Q 11.4 | Page 64

For the following statement, write (T) for true and (F) for false:

−10 is greater than −6.

• True

• False

Exercise 4A | Q 11.5 | Page 64

For the following statement, write (T) for true and (F) for false:

The absolute value of an integer is always greater than the integer.

• True

• False

Exercise 4A | Q 11.6 | Page 64

For the following statement, write (T) for true and (F) for false:

0 is larger than every negative integer.

• True

• False

Exercise 4A | Q 11.7 | Page 64

For the following statement, write (T) for true and (F) for false:

Every negative integer is less than every natural number.

• True

• False

Exercise 4A | Q 11.8 | Page 64

For the following statement, write (T) for true and (F) for false:

The successor of −187 is −188.

• True

• False

Exercise 4A | Q 11.9 | Page 64

For the following statement, write (T) for true and (F) for false:

The predecessor of −215 is −214.

• True

• False

Exercise 4A | Q 12.1 | Page 64

Find the value of: |−9|

Exercise 4A | Q 12.2 | Page 64

Find the value of: |−36|

Exercise 4A | Q 12.3 | Page 64

Find the value of: |0|

Exercise 4A | Q 12.4 | Page 64

Find the value of: |15|

Exercise 4A | Q 12.5 | Page 64

Find the value of: −|−3|

Exercise 4A | Q 12.6 | Page 64

Find the value of: 7 + |−3|

Exercise 4A | Q 12.7 | Page 64

Find the value of: |7−4|

Exercise 4A | Q 12.8 | Page 64

Find the value of: 8 −|−7|

Exercise 4A | Q 13.1 | Page 64

Write five negative integers greater than −7.

Exercise 4A | Q 13.2 | Page 64

Write five negative integers less than −20.

Exercise 4B [Pages 68 - 69]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Exercise 4B [Pages 68 - 69]

Exercise 4B | Q 1.1 | Page 68

Use the number line and add the following integers: 9 + (−6)

Exercise 4B | Q 1.2 | Page 68

Use the number line and add the following integers: (−3) + 7

Exercise 4B | Q 1.3 | Page 68

Use the number line and add the following integers: 8 + (−8)

Exercise 4B | Q 1.4 | Page 68

Use the number line and add the following integers: (−1) + (−3)

Exercise 4B | Q 1.5 | Page 68

Use the number line and add the following integers: (−4) + (−7)

Exercise 4B | Q 1.6 | Page 68

Use the number line and add the following integers: (−2) + (−8)

Exercise 4B | Q 1.7 | Page 68

Use the number line and add the following integers: 3 + (−2) + (−4)

Exercise 4B | Q 1.8 | Page 68

Use the number line and add the following integers: (−1) + (−2) + (−3)

Exercise 4B | Q 1.9 | Page 68

Use the number line and add the following integers: 5 + (−2) + (−6)

Exercise 4B | Q 2.1 | Page 68

Fill in the blanks:

(−3) + (−9) = .......

Exercise 4B | Q 2.2 | Page 68

Fill in the blanks:

(−7) + (−8) = .......

Exercise 4B | Q 2.3 | Page 68

Fill in the blanks:

(−9) + 16 = .......

Exercise 4B | Q 2.4 | Page 68

Fill in the blanks:

(−13) + 25 = .......

Exercise 4B | Q 2.5 | Page 68

Fill in the blanks:

8 + (−17) = .......

Exercise 4B | Q 2.6 | Page 68

Fill in the blanks:

2 + (−12) = .......

Exercise 4B | Q 3.1 | Page 68

Exercise 4B | Q 3.2 | Page 68

Exercise 4B | Q 3.3 | Page 68

Exercise 4B | Q 3.4 | Page 68

Exercise 4B | Q 4.1 | Page 68

Exercise 4B | Q 4.2 | Page 68

Exercise 4B | Q 4.3 | Page 68

Exercise 4B | Q 4.4 | Page 68

Exercise 4B | Q 5.01 | Page 68

Find the sum of: 137 and −354

Exercise 4B | Q 5.02 | Page 68

Find the sum of: 1001 and −13

Exercise 4B | Q 5.03 | Page 68

Find the sum of: −3057 and 199

Exercise 4B | Q 5.04 | Page 68

Find the sum of: −36 and 1027

Exercise 4B | Q 5.05 | Page 68

Find the sum of: −389 and −1032

Exercise 4B | Q 5.06 | Page 68

Find the sum of: −36 and 100

Exercise 4B | Q 5.07 | Page 68

Find the sum of: 3002 and −888

Exercise 4B | Q 5.08 | Page 68

Find the sum of: −18, + 25 and −37

Exercise 4B | Q 5.09 | Page 68

Find the sum of: −312, 37 and 192

Exercise 4B | Q 5.1 | Page 68

Find the sum of: −51, −203, 36 and −28

Exercise 4B | Q 6.1 | Page 68

Find the additive inverse of: -57

Exercise 4B | Q 6.2 | Page 68

Find the additive inverse of: 183

Exercise 4B | Q 6.3 | Page 68

Find the additive inverse of: 0

Exercise 4B | Q 6.4 | Page 68

Find the additive inverse of: −1001

Exercise 4B | Q 6.5 | Page 68

Find the additive inverse of: 2054

Exercise 4B | Q 7.1 | Page 68

Write the successor of the following: 201

Exercise 4B | Q 7.2 | Page 68

Write the successor of the following: 70

Exercise 4B | Q 7.3 | Page 68

Write the successor of the following: −5

Exercise 4B | Q 7.4 | Page 68

Write the successor of the following: −99

Exercise 4B | Q 7.5 | Page 68

Write the successor of the following: −500

Exercise 4B | Q 8.1 | Page 68

Write the predecessor of the following: 120

Exercise 4B | Q 8.2 | Page 68

Write the predecessor of the following: 79

Exercise 4B | Q 8.3 | Page 68

Write the predecessor of the following: −8

Exercise 4B | Q 8.4 | Page 68

Write the predecessor of the following: −141

Exercise 4B | Q 8.5 | Page 68

Write the predecessor of the following: −300

Exercise 4B | Q 9.1 | Page 69

Simplify: (−7) + (−9) + 12 + (−16)

Exercise 4B | Q 9.2 | Page 69

Simplify: 37 + (−23) + (−65) + 9 + (−12)

Exercise 4B | Q 9.3 | Page 69

Simplify: (−145) + 79 + (−265) + (−41) + 2

Exercise 4B | Q 9.4 | Page 69

Simplify: 1056 + (−798) + (−38) + 44 + (−1)

Exercise 4B | Q 10 | Page 69

A car travelled 60 km to the north of Patna and then 90 km to the south from there. How far from Patna was the car finally?

Exercise 4B | Q 11 | Page 69

A man bought some pencils for Rs 30 and some pens for Rs 90. The next day, he again bought some pencils for Rs 25. Then, he sold all the pencils for Rs 20 and the pens for Rs 70. What was his net gain or loss?

Exercise 4B | Q 12.1 | Page 69

For the following statement write (T) for true and (F) for false:

The sum of two negative integers is always a negative integer.

• True

• False

Exercise 4B | Q 12.2 | Page 69

For the following statement write (T) for true and (F) for false:

The sum of a negative integer and a positive integer is always a negative integer.

• True

• False

Exercise 4B | Q 12.3 | Page 69

For the following statement write (T) for true and (F) for false:

The sum of an integer and its negative is zero.

• True

• False

Exercise 4B | Q 12.4 | Page 69

For the following statement write (T) for true and (F) for false:

The sum of three different integers can never be zero.

• True

• False

Exercise 4B | Q 12.5 | Page 69

For the following statement write (T) for true and (F) for false:

| −5| < |−3|

• True

• False

Exercise 4B | Q 12.6 | Page 69

For the following statement write (T) for true and (F) for false:

|8 − 5| = |8| + |−5|

• True

• False

Exercise 4B | Q 13.1 | Page 69

Find an integer a such that: a + 6 = 0

Exercise 4B | Q 13.2 | Page 69

Find an integer a such that: 5 + a = 0

Exercise 4B | Q 13.3 | Page 69

Find an integer a such that: a + (−4) = 0

Exercise 4B | Q 13.4 | Page 69

Find an integer a such that: −8 + a = 0

Exercise 4C [Pages 70 - 71]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Exercise 4C [Pages 70 - 71]

Exercise 4C | Q 1.01 | Page 70

Subtract: 18 from −34

Exercise 4C | Q 1.02 | Page 70

Subtract: −15 from 25

Exercise 4C | Q 1.03 | Page 70

Subtract: −28 from −43

Exercise 4C | Q 1.04 | Page 70

Subtract: 68 from −37

Exercise 4C | Q 1.05 | Page 70

Subtract: 219 from 0

Exercise 4C | Q 1.06 | Page 70

Subtract: −92 from 0

Exercise 4C | Q 1.07 | Page 70

Subtract: −135 from −250

Exercise 4C | Q 1.08 | Page 70

Subtract: −2768 from −287

Exercise 4C | Q 1.09 | Page 70

Subtract: 6240 from −271

Exercise 4C | Q 1.1 | Page 70

Subtract: −3012 from 6250

Exercise 4C | Q 2 | Page 70

Subtract the sum of −1050 and 813 from −23.

Exercise 4C | Q 3 | Page 70

Subtract the sum of −250 and 138 from the sum of 136 and −272.

Exercise 4C | Q 4 | Page 70

From the sum of 33 and −47, subtract −84.

Exercise 4C | Q 5 | Page 70

Add −36 to the difference of −8 and −68.

Exercise 4C | Q 6 | Page 70

Simplify: [37 − (−8)] + [11 − (−30)]

Exercise 4C | Q 6.2 | Page 70

Simplify: [−13 − (−17)] + [−22 − (−40)]

Exercise 4C | Q 7 | Page 70

Find 34 − (−72) and (−72) − 34. Are they equal?

Exercise 4C | Q 8 | Page 70

The sum of two integers is −13. If one of the numbers is 170, find the other.

Exercise 4C | Q 9 | Page 70

The sum of two integers is 65. If one of the integers is −47, find the other.

Exercise 4C | Q 10.1 | Page 70

Is the following statement true or false?

The sum of two integers is always an integer.

• True

• False

Exercise 4C | Q 10.2 | Page 70

Is the following statement true or false?

The difference of two integers is always an integer.

• True

• False

Exercise 4C | Q 10.3 | Page 70

Is the following statement true or false?

−14 > −8 − (−7)

• True

• False

Exercise 4C | Q 10.4 | Page 70

Is the following statement true or false?

−5 − 2 > −8

• True

• False

Exercise 4C | Q 10.5 | Page 70

Is the following statement true or false?

(−7) − 3 = (−3) − (−7)

• True

• False

Exercise 4C | Q 11 | Page 71

The point A is on a mountain which is 5700 metres above sea level and the point B is in a mine which is 39600 metres below sea level. Find the vertical distance between A and B.

Exercise 4C | Q 12 | Page 71

On a day in Srinagar, the temperature at 6 p.m. was 1°C but at midnight that day, it dropped to −4°C. By how many degrees Celsius did the temperature fall?

Exercise 4D [Pages 72 - 73]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Exercise 4D [Pages 72 - 73]

Exercise 4D | Q 1.01 | Page 72

Multiply: 15 by 9

Exercise 4D | Q 1.02 | Page 72

Multiply: 18 by −7

Exercise 4D | Q 1.03 | Page 72

Multiply: 29 by −11

Exercise 4D | Q 1.04 | Page 72

Multiply: –18 by 13

Exercise 4D | Q 1.05 | Page 72

Multiply: –56 by 16

Exercise 4D | Q 1.06 | Page 72

Multiply: 32 by –21

Exercise 4D | Q 1.07 | Page 72

Multiply: –57 by 0

Exercise 4D | Q 1.08 | Page 72

Multiply: 0 by –31

Exercise 4D | Q 1.09 | Page 72

Multiply: –12 by –9

Exercise 4D | Q 1.1 | Page 72

Multiply:  (–​746) by (–8)

Exercise 4D | Q 1.11 | Page 72

Multiply: 118 by −7

Exercise 4D | Q 1.12 | Page 72

Multiply: −238 by −143

Exercise 4D | Q 2.1 | Page 73

Find the product: (−2) × 3 × (−4)

Exercise 4D | Q 2.2 | Page 73

Find the product: 2 × (−5) × (−6)

Exercise 4D | Q 2.3 | Page 73

Find the product: (−8) × 3 × 5

Exercise 4D | Q 2.4 | Page 73

Find the product: 8 × 7 × (−10)

Exercise 4D | Q 2.5 | Page 73

Find the product: (−3) × (−7) × (−6)

Exercise 4D | Q 2.6 | Page 73

Find the product: (−8) × (−3) × (−9)

Exercise 4D | Q 3.1 | Page 73

Use convenient groupings and find the value of: 18 × (−27) × 30

Exercise 4D | Q 3.2 | Page 73

Use convenient groupings and find the value of: (−8) × (−63) × 9

Exercise 4D | Q 3.3 | Page 73

Use convenient groupings and find the value of: (−17) × (−23) × 41

Exercise 4D | Q 3.4 | Page 73

Use convenient groupings and find the value of:  (−51) × (−47) × (−19)

Exercise 4D | Q 4.1 | Page 73

Verify the following: 18 × [9 + (−7)] = 18 × 9 + 18 × (−7)

Exercise 4D | Q 4.2 | Page 73

Verify the following: (−13) × [(−6) + (−19)] = (−13) × (−6) + (−13) × (−19)

Exercise 4D | Q 5 | Page 73

Complete the following multiplication table:

 x -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3
Exercise 4D | Q 6.1 | Page 73

Which of the following statements are true and which are false?

The product of a positive integer and a negative integer is negative.

• True

• False

Exercise 4D | Q 6.2 | Page 73

Which of the following statements are true and which are false?

The product of two negative integers is a negative integer.

• True

• False

Exercise 4D | Q 6.3 | Page 73

Which of the following statements are true and which are false?

The product of three negative integers is a negative integer.

• True

• False

Exercise 4D | Q 6.4 | Page 73

Which of the following statements are true and which are false?

Every integer when multiplied with −1 gives its multiplicative inverse.

• True

• False

Exercise 4D | Q 7.1 | Page 73

Simplify: (−9) × 6 + (−9) × 4

Exercise 4D | Q 7.2 | Page 73

Simplify: 8 × (–12) + 7 × (–12)

Exercise 4D | Q 7.3 | Page 73

Simplify: 30 × (–22) + 30 × (14)

Exercise 4D | Q 7.4 | Page 73

Simplify: (–15) × (–14) + (–15) × (–6)

Exercise 4D | Q 7.5 | Page 73

Simplify: 43 × (–33) + 43 × (–17)

Exercise 4D | Q 7.6 | Page 73

Simplify: (–36) × (72) + (–36) × 28

Exercise 4D | Q 7.7 | Page 73

Simplify: (–27) × (–16) + (–27) × (–14)

Exercise 4E [Page 75]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Exercise 4E [Page 75]

Exercise 4E | Q 1.01 | Page 75

Divide: 85 by −17

Exercise 4E | Q 1.02 | Page 75

Divide: −72 by 18

Exercise 4E | Q 1.03 | Page 75

Divide: −80 by 16

Exercise 4E | Q 1.04 | Page 75

Divide: –121 by 11

Exercise 4E | Q 1.05 | Page 75

Divide: 108 by –12

Exercise 4E | Q 1.06 | Page 75

Divide: –161 by 23

Exercise 4E | Q 1.07 | Page 75

Divide: –76 by –19

Exercise 4E | Q 1.08 | Page 75

Divide: –147 by –21

Exercise 4E | Q 1.09 | Page 75

Divide: –639 by –71

Exercise 4E | Q 1.1 | Page 75

Divide: –15625 by –125

Exercise 4E | Q 1.11 | Page 75

Divide: 2067 by –1

Exercise 4E | Q 1.12 | Page 75

Divide: 1765 by –1765

Exercise 4E | Q 1.13 | Page 75

Divide: 0 by –278

Exercise 4E | Q 1.14 | Page 75

Divide: 3000 by –100

Exercise 4E | Q 2.1 | Page 75

Fill in the blanks:

80 ÷ (......) = −5

Exercise 4E | Q 2.2 | Page 75

Fill in the blanks:

(−84) + (......) = −7

Exercise 4E | Q 2.3 | Page 75

Fill in the blanks:

(......) ÷ (−5) = 25

Exercise 4E | Q 2.4 | Page 75

Fill in the blanks:

(......) ÷ 372 = 0

Exercise 4E | Q 2.5 | Page 75

Fill in the blanks:

(......) ÷ 1 = −186

Exercise 4E | Q 2.6 | Page 75

Fill in the blanks:

(......) ÷ 17 = −2

Exercise 4E | Q 2.7 | Page 75

Fill in the blanks:

(......) ÷ 165 = −1

Exercise 4E | Q 2.8 | Page 75

Fill in the blanks:

(......) ÷ (−1) = 73

Exercise 4E | Q 2.9 | Page 75

Fill in the blanks:

1 ÷ (......) = −1

Exercise 4E | Q 3.1 | Page 75

Write (T) for true and (F) for false for the following statement:

0 ÷ (−6) = 0

• True

• False

Exercise 4E | Q 3.2 | Page 75

Write (T) for true and (F) for false for the following statement:

(−8) ÷ 0 = 0

• True

• False

Exercise 4E | Q 3.3 | Page 75

Write (T) for true and (F) for false for the following statement:

15 ÷ (−1) = −15

• True

• False

Exercise 4E | Q 3.4 | Page 75

Write (T) for true and (F) for false for the following statement:

(−16) ÷ (−4) = −4

• True

• False

Exercise 4E | Q 3.5 | Page 75

Write (T) for true and (F) for false for the following statement:

(−7) ÷ (−1) = 7

• True

• False

Exercise 4E | Q 3.6 | Page 75

Write (T) for true and (F) for false for the following statement:

(−18) ÷ 9 = −2

• True

• False

Exercise 4E | Q 3.7 | Page 75

Write (T) for true and (F) for false for the following statement:

20 ÷ (−5) = −4

• True

• False

Exercise 4E | Q 3.8 | Page 75

Write (T) for true and (F) for false for the following statement:

(−10) ÷ 1 = −10

• True

• False

Exercise 4E | Q 3.9 | Page 75

Write (T) for true and (F) for false for the following statement:

(−1) ÷ (−1) = −1

• True

• False

Exercise 4F [Pages 75 - 76]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Exercise 4F [Pages 75 - 76]

Exercise 4F | Q 1.1 | Page 75

Which of the following is a true statement?

−4 > −3

• True

• False

Exercise 4F | Q 1.2 | Page 75

Which of the following is a true statement?

−4 < −3

• True

• False

Exercise 4F | Q 1.3 | Page 75

Which of the following is a true statement?

−4 and −3 are non-comparable

• True

• False

Exercise 4F | Q 2 | Page 75

2 less than −3 is

• -1

• 1

• -5

• 5

Exercise 4F | Q 3 | Page 76

4 more than −5 is

• 9

• -9

• -1

• 1

Exercise 4F | Q 4 | Page 76

2 less than −7 is

• -9

• -5

• 5

• none of these

Exercise 4F | Q 5 | Page 76

7 + |−3| = ?

• 4

• 10

• -10

• none of these

Exercise 4F | Q 6 | Page 76

(−42) + (−35) = ?

• -7

• 7

• -77

• none of these

Exercise 4F | Q 7 | Page 76

(−37) + 6 = ?

• -43

• -31

• 31

• none of these

Exercise 4F | Q 8 | Page 76

49 + (−27) = ?

• -73

• 73

• 22

• none of these

Exercise 4F | Q 9 | Page 76

The successor of −18 is

• -19

• 17

• -17

• 19

Exercise 4F | Q 10 | Page 76

The predecessor of −16 is

• -15

• -17

• 15

• 17

Exercise 4F | Q 11 | Page 76

The additive inverse of −5 is

• 5

• 0

• -4

• 6

Exercise 4F | Q 12 | Page 76

−12 − (−5) = ?

• -17

• -7

• 7

• none of these

Exercise 4F | Q 13 | Page 76

−5 − (−8) = ?

• 3

• 13

• -3

• none of these

Exercise 4F | Q 14 | Page 76

The sum of two integers is −25. If one of them is 30 then the other is

• 55

• 5

• -55

• none of these

Exercise 4F | Q 15 | Page 76

The sum of two integers is 20. If one of them is −5 then the other is

• 25

• -25

• 15

• none of these

Exercise 4F | Q 16 | Page 76

The sum of two integers is −13. If one of them is 8 then the other is

• -5

• -21

• 21

• none of these

Exercise 4F | Q 17 | Page 76

On subtracting −8 from 0, we get

• -8

• 8

• 0

• none of these

Exercise 4F | Q 18 | Page 76

8 + (−8) = ?

• 16

• -16

• 0

• none of these

Exercise 4F | Q 19 | Page 76

(−6) + 4 − (−3) = ?

• -5

• -1

• 1

• none of these

Exercise 4F | Q 20 | Page 76

6 − (−4) = ?

• 2

• -10

• 10

• none of these

Exercise 4F | Q 21 | Page 76

(−7) + (−9) + 12 + (−16) = ?

• -20

• 20

• -12

• none of these

Exercise 4F | Q 22 | Page 76

On subtracting 8 from −4, we get

• 4

• 12

• -12

• none of these

Exercise 4F | Q 23 | Page 76

On subtracting −9 from −6, we get

• -15

• -3

• 3

• none of these

Exercise 4F | Q 24 | Page 76

On subtracting −5 from 10, we get

• 5

• -15

• 15

• none of these

Exercise 4F | Q 25 | Page 76

(−6) × 9 = ?

• 54

• -54

• 0

• none of these

Exercise 4F | Q 26 | Page 76

(−9) × 6 + (−9) × 4 = ?

• -90

• 90

• -18

• 18

Exercise 4F | Q 27 | Page 76

36 ÷ (−9) = ?

• 4

• -4

• 0

• none of these

Test Paper 4 [Pages 78 - 79]

### RS Aggarwal solutions for Class 6 Mathematics Chapter 4 Integers Test Paper 4 [Pages 78 - 79]

Test Paper 4 | Q 1.1 | Page 78

What are integers?

Test Paper 4 | Q 1.2 | Page 78

Write all integers from −5 to 5.

Test Paper 4 | Q 2.1 | Page 78

In the pair given below, find the larger integer.

• 0

• -3

Test Paper 4 | Q 2.2 | Page 78

In the pair given below, find the larger integer.

• -4

• -6

Test Paper 4 | Q 2.3 | Page 78

In the pair given below, find the larger integer.

• -99

• 9

Test Paper 4 | Q 2.4 | Page 78

In the pair given below, find the larger integer.

• -385

• -615

Test Paper 4 | Q 3 | Page 78

Write the following integers in increasing order:

−18, 16, 0, −5, 8, −36, −1, 1

Test Paper 4 | Q 4.1 | Page 78

Find the value of: 9 − |−6|

Test Paper 4 | Q 4.2 | Page 78

Find the value of: 6 + |−4|

Test Paper 4 | Q 4.3 | Page 78

Find the value of: −8 − |−3|

Test Paper 4 | Q 5.1 | Page 78

Write four integers less than −6

Test Paper 4 | Q 5.2 | Page 78

Write four integers greater than −6.

Test Paper 4 | Q 6.1 | Page 78

Evaluate: 8 + (−16)

Test Paper 4 | Q 6.2 | Page 78

Evaluate: (−5) + (−6)

Test Paper 4 | Q 6.3 | Page 78

Evaluate: (−6) × (−8)

Test Paper 4 | Q 6.4 | Page 78

Evaluate: (−36) ÷ 6

Test Paper 4 | Q 6.5 | Page 78

Evaluate: 30 − (−50)

Test Paper 4 | Q 6.6 | Page 78

Evaluate: (–40) ÷ (–10)

Test Paper 4 | Q 6.7 | Page 78

Evaluate: 8 × (–5)

Test Paper 4 | Q 6.8 | Page 78

Evaluate: (–30) – 15

Test Paper 4 | Q 7 | Page 78

The sum of two integers is −12. If one of them is 34, find the other.

Test Paper 4 | Q 8.1 | Page 78

Simplify: (−24) × (68) + (−24) × 32

Test Paper 4 | Q 8.2 | Page 78

Simplify: (−9) × 18 − (−9) × 8

Test Paper 4 | Q 8.3 | Page 78

Simplify: (−147) ÷ (−21)

Test Paper 4 | Q 8.4 | Page 78

Simplify: 16 ÷ (−1)

Test Paper 4 | Q 9 | Page 78

The successor of −89 is

• -90

• -88

• 90

• 88

Test Paper 4 | Q 10 | Page 78

The predecessor of −99 is

• -98

• -100

• 98

• 100

Test Paper 4 | Q 11 | Page 78

• (-1)/23

• (1)/23

• 23

• -23

Test Paper 4 | Q 12 | Page 78

If (-13 + 6) ____ -25 - (-9) then the correct symbol in the place holder is

• <

• >

• =

• none of these

Test Paper 4 | Q 13 | Page 78

? + (−8) = 12

• -4

• -20

• 20

• 4

Test Paper 4 | Q 14 | Page 78

The integer which is 5 more that (−7) is

• -12

• 12

• -2

• 2

Test Paper 4 | Q 15 | Page 78

What should be added to 16 to get (−31)?

• 15

• -15

• 47

• -47

Test Paper 4 | Q 16 | Page 78

When 34 is subtracted from −36, we get

• 2

• -2

• 70

• -70

Test Paper 4 | Q 17.1 | Page 78

Fill in the blanks.

−23 − (?) = 15.

Test Paper 4 | Q 17.2 | Page 78

Fill in the blanks.

The largest negative integer is ...... .

Test Paper 4 | Q 17.3 | Page 78

Fill in the blanks.

The smallest positive integer is ...... .

Test Paper 4 | Q 17.4 | Page 78

Fill in the blanks.

(−8) + (−6) − (−3) = ...... .

Test Paper 4 | Q 17.5 | Page 78

Fill in the blanks.

The predecessor of −200 is ...... .

Test Paper 4 | Q 18.1 | Page 79

Write 'T' for true and 'F' for false for the following:

0 is neither positive nor negative.

• True

• False

Test Paper 4 | Q 18.2 | Page 79

Write 'T' for true and 'F' for false for the following:

−(−36) − 1 = − 37.

• True

• False

Test Paper 4 | Q 18.3 | Page 79

Write 'T' for true and 'F' for false for the following:

On the number line −10 lies to the right of −6.

• True

• False

Test Paper 4 | Q 18.4 | Page 79

Write 'T' for true and 'F' for false for the following:

0 is an integer.

• True

• False

Test Paper 4 | Q 18.5 | Page 79

Write 'T' for true and 'F' for false for the following:

−|−15| = −15.

• True

• False

Test Paper 4 | Q 18.6 | Page 79

Write 'T' for true and 'F' for false for the following:

|−40| + 40 = 0.

• True

• False

## Chapter 4: Integers

Exercise 4AExercise 4BExercise 4CExercise 4DExercise 4EExercise 4FTest Paper 4

## RS Aggarwal solutions for Class 6 Mathematics chapter 4 - Integers

RS Aggarwal solutions for Class 6 Mathematics chapter 4 (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 Class 6 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 6 Mathematics chapter 4 Integers are Concept of Integers, Addition of Integers, Concept for Ordering of Integers, Representation of Integers on the Number Line, Concept for Natural Numbers, Concept for Whole Numbers, Concept of Negative Numbers, Additive Inverse, Subtraction of Integers, Addition of Integers on Number line.

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