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

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

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:

Add:

Find the additive inverse of

(i) -57

(ii) 183

(iii) 0

(iv) -1001

(v) 2054

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)}

1. 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)

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

1. Which of the following is a true statement?

(a) -4 > -3

(b) -4 < -3

(c) -4 and -3 are non-comparable

2 less than -3 is

(a) -1

(b) 1

(c) -5

(d) 5

4 more than -5 is

(a) 9

(b) -9

(c) -1

(d) 1

2 less than -7 is

(a) -9

(b) -5

(c) 5

(d) None of these

7 + (-3) =?

(a) 4

(b) 10

(c) -10

(d) None of these

(-37) + 6 =?

(a) -43

(b) -31

(c) 31

(d) None of these

49 + (-27) =?

(a) -73

(b) 73

(c) 22

(d) None of these

The successor of -18 is

(a) -19

(b) 17

(c) -17

(d) 19

The predecessor of -16 is

(a) -15

(b) -17

(c) 15

(d) 17

The additive inverse of -5 is

(a) 5

(b) 0

(c) -4

(d) -6

-12 – (-5) = ?

(a) -17

(b) -7

(c) 7

(d) None of these

5 – (-8) = ?

(a) 3

(b) 13

(c) -3

(d) None of these