R s aggarwal solutions mathematics class 6 Solutions for Chapter 4 integers

Exercises in Chapter 4 integers Grade 6

Integers Exercise 4A

Integers Exercise 4B

Integers Exercise 4C

Integers Exercise 4D

Integers Exercise 4E

Integers Exercise 4F

Questions in Integers Exercise 4A

Write the opposite of each of the following:

(i) An increase of 8

(ii) A loss of र 7

(iii) Gaining a weight of 5 kg

(iv) 10 km above sea level

(v) 5degC below the freezing point

(vi) A deposit of र 100

(vii) Earning र 500

(viii) Going 6 km to the east

(ix) 24

(x) -34

Indicate the following using “+” or “-“sign:

(i) A gain of र 600

(ii) A loss of र 800

(iii) 7degC below the freezing point

(iv) Decrease of 9

(v) 2 km above sea level

(vi) 3 km below sea level

(vii) A Deposit of र 200

(viii) A withdrawal of र 300

Mark the following integers on a number line:

(i) -5

(ii) -2

(iii) 0

(iv) 7

(v) -13

Which number is larger in each of the following pairs?

(i) 0, -2

(ii) -3, -5

(iii) -5, 2

(iv) -16, 8

(v) -365, -913

(vi) -888, 8

Which number is smaller in each of the following pairs?

(i) 6, -7

(ii) 0, -1

(iii) -13, -27

(iv) -26, 17

(v) -317, -603

(vi) -777, 7

Write all integers between

(i) 0 and 6

(ii) -5 and 0

(iii) -3 and 3

(iv) -7 and -5

Questions in Integers Exercise 4B

Use the number line and add the following integers:

(i) 9 + (-6)

(ii) (-3) + 7

(iii) 8 + (-8)

(iv) (-1) + (-3)

(v) (-4) + (-7)

(vi) (-2) + (-8)

(vii) 3 + (-2) + (-4)

(viii) (-1) + (-2) + (-3)

(ix) 5 + (-2) + (-6)

Fill in the blanks:

(i) (-3) + (-9) =_

(ii) (-7) + (-8) = _

(iii) (-9) + 16 = _

(iv) (-13) + 25 = _

(v) 8 + (-17) =_

(vi) 2 + (-12) = _

Add:

Find the additive inverse of

(i) -57

(ii) 183

(iii) 0

(iv) -1001

(v) 2054

Questions in Integers Exercise 4C

Subtract:

(i) 18 from -34

(ii) -15 from 25

(iii) -28 from -43

(iv) 68 from -37

(v) 219 from 0

(vi) -92 from 0

(vii) -135 from -250

(viii) -2768 from -287

(ix) 6240 from -271

(x) -3012 from 6250

Subtract the sum of - 1050 and 813 from -23

Subtract the sum of -250 and 138 from the sum of 136 and -272

From the sum of 33 and -47, Subtract -84

Add -36 to the difference of -8 and -68

Simplify:

(i) {37- (-8)} + {11 – (- 30)}

(ii) {-13 – (-17)} + {-22 – (-40)}

Questions in Integers Exercise 4D

Multiply:

(i) 15 by 9

(ii) 18 by -7

(iii) 29 by -11

(iv) -18 by 13

(v) -56 by 16

(vi) 32 by -21

(vii) -57 by 0

(viii) 0 by -31

(ix) -12 by -9

(x) -746 by -8

(xi) 118 by -7

(xii) -238 by -143

Find the products:

(i) (-2) × 3 × (-4)

(ii) 2 × (-5) × (-6)

(iii) (-8) × 3 × 5

(iv) 8 × 7 × (-10)

(v) (-3) × (-7) × (-6)

(vi) (-8) × (-3) × (-9)

Use convenient groupings and find the values of

(i) 18 × (-27) × 30

(ii) (-8) × (-63) × 9

(iii) (-17) × (-23) × 41

(iv) (-51) × (-47) × (-19)

Questions in Integers Exercise 4E

Divide:

(i) 85 by -17

(ii) -72 by 18

(iii) -80 by 16

(iv) -121 by 11

(v) 108 by -12

(vi) -161 by 23

(vii) -76 by -19

(viii) -147 by -21

(ix) -639 by -71

(x) -15625 by – 125

(xi) 2067 by -1

(xii) 1765 by -1765

(xiii) 0 by -278

(xiv) 3000 by -100

Fill in the blanks:

(i) 80 ÷ (_) = -5

(ii) (-84) ÷ (_) = -7

(iii) (_) ÷ (-5) = 25

(iv) (_) ÷ 372 = 0

(v) (_) ÷ 1 = -186

(vi) (_) ÷ 17 = -2

(vii) (_) ÷ (165) = -1

(viii) (_) ÷ (-1) = 73

(ix) 1 ÷ (_) = -1

Questions in Integers Exercise 4F

Which of the following is a true statement?

(a) -4 > -3

(b) -4 < -3

2 less than -3 is

(a) -1

(b) 1

(d) 5

4 more than -5 is

(a) 9

(b) -9

(d) 1

2 less than -7 is

(a) -9

(b) -5

(d) None of these

7 + (-3) =?

(a) 4

(b) 10

(d) None of these

(-37) + 6 =?

(a) -43

(b) -31

(d) None of these

49 + (-27) =?

(a) -73

(b) 73

(d) None of these

The successor of -18 is

(a) -19

(b) 17

(d) 19

The predecessor of -16 is

(a) -15

(b) -17

(d) 17

The additive inverse of -5 is

(a) 5

(b) 0

(d) -6

-12 – (-5) = ?

(a) -17

(b) -7

(d) None of these

5 – (-8) = ?

(a) 3

(b) 13

(d) None of these

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Chapters in this book

Number System

Factors and Multiples

Whole Numbers

Integers

Fractions

Simplification

Decimals

Algebraic Expressions

Linear Equations in One Variable

Ratio, Proportion and Unitary Method.

Line Segment, Ray and Line

Parallel Lines

Angles and Their Measurement

Constructions (Using a Ruler and a pair of Compasses)

Triangles

Quadrilaterals

Circles

Three – Dimensional Shapes

Two-Dimensional Reflection Symmetry (Linear Symmetry)

Concept of Perimeter and Area

Data Handling

Pictograph

Bar Graph