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451.

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

Answer»

(i) -(B) (ii) -(E) (iii) -(B) (iv) -(A) (v) -(B)

452.

Fill in the blanks using <, = or >.1 + 2 + 3 ____ (-1) + (-2) + (-3)

Answer»

>

1 + 2 + 3 = 6

(-1) + (-2) + (-3) = -1 – 2 – 3 = -6

And 6 > -6

453.

Fill in the blanks using <, = or >.0 ____ 1

Answer»

1

0 < 1

454.

Fill in the blanks using &lt;, = or &gt;.(-71) + (+9) ____ (-81) + (-9)

Answer»

>

(-71) + (9) = -71 + 9 = -62

(-81) + (-9) = -81 – 9 = -90 and -62 > -90

455.

Fill in the blanks using &lt;, = or &gt; :(–11) + (–15) _______ 11 + 15

Answer»

(–11) + (–15) < 11 + 15

456.

In questions 50 to 58, fill in the blanks using &lt;, = or &gt; : 50. (–11) + (–15) _______ 11 + 15 51. (–71) + (+9) _______ (–81) + (–9) 52. 0 _______ 1 53. –60 _______ 50 54. –10 _______ –11 55. –101 _______ –102 56. (–2) + (–5) + (–6) _______ (–3) + (–4) + (–6) 57. 0 _______ –2 58. 1 + 2 + 3 _______ (–1) + (–2) + (–3)

Answer»

50. < 

51. > 

52. < 

53. < 

54. > 

55. > 

56. = 

57. > 

58. >

457.

Fill in the blanks to make the statements true:(-11) + (-2) + (-1) = ____ .

Answer»

-14

(-11) + (-2) + (-1) 

= -11 – 2 -1 

= -14

458.

Fill in the blanks using &lt;, = or &gt;.(-11)+ (-15) ____ 11 + 15

Answer»

(-11) + (-15) = -11 – 15 = -26

11 + 15 = 26 and -26 < 26

459.

In a game, two balls are given on selecting a blue card and three balls are gained on selecting a red card. Sheetal has 27 balls with her. During game she gets 9 blue cards continuously. How much balls, she have remaining?

Answer»

Number of balls with Sheetal = 27

She gets 9 blue cards continuously

so she has to give 9 x 2 = 18 balls

∴ Number of remaining balls

= 27 – 18

= 9 balls.

So, sheetal has remaining balls = 9.

460.

Calculate : (+ 63) ÷ (- 9)

Answer»

(+ 63) ÷ (- 9) 

We know, a ÷ (- b) = – (a ÷ b) 

= 63 ÷ (-9) 

= – (63 ÷ 9) 

= – 7

461.

Additive inverse of 0 is(A) 1(B) 0(C) 4(D) -1

Answer»

Additive inverse of 0 is 0.

462.

Fill in the blanks to make the statements true:_______ –3456 = –8910 

Answer»

-5454 –3456 = –8910 

463.

Fill in the blanks to make the statements true:____ + (-11) + 111 = 130

Answer»

30

____ + (-11) + 111 = 130

____ - 11 + 111 = 130

____ + 100 = 130

____ = 130 - 100

____ = 30

464.

Fill in the blanks to make the statements true:_______ + (–11) + 111 = 130

Answer»

30 + (–11) + 111 = 130

465.

Find product by using appropriate property:(i) 26 x (- 48) + (-48) x (-56)(ii) 8 x (78) x (-125)(iii) 9 x (50 – 2)(iv) 999 x 45

Answer»

(i) 26 x (-48) + (-48) x (-56)

= (48) x 26 + (-48) x (-56)
= (-48) x [26 + (-56)]
= ( 48) x [26 – 56] = 48 x (-30)
= 1440

(ii) 8 x 78 x (-125)

= [8 x (-125)] x 78 

= -1000 x 78

= -78000

(iii) 9 x (50 – 2)

= 9 x 50 – 9 x 2 

= 450 – 18

= 432

(iv) 999 x 45

= (1000 – 1) x 45

= 1000 x 45 – 45 

= 45000 – 45

= 44955

466.

Solve the following division following :(i) (-35) ÷ 7(ii) 15 ÷ (-3)(iii) – 25 ÷ (- 25)(iv) 25 ÷ (-1)(v) 0 ÷ (-3)(vi) 15 ÷ [1(-2) +1](vii) (-6) + 3 [(-2) + 1]

Answer»

(i) (-35) ÷ 7 = -5
(ii) 15 ÷ (-3) = -5
(iii) – 25 ÷ (-25) = 1
(iv) 25 ÷ (-1) = -25
(v) 0 ÷ (3) = 0
(vi) 15 ÷ [(-2) +1] = 15 ÷ (-1) = -15
(vii) [(6) + 3] ÷ [(-2) +1]= (-3) ÷ (-1)= 3

467.

Find the product of the following :(i) (-3) x 4(ii) (-1) x 24(iii) (-30) x (-24)(iv) (-214) x 0(V) (-15) x (-7) x 6(vi) (-5) x (-7) x (-4)(vii) (-3) x (-2) x (-1) x (-5)

Answer»

(i) (-3) x 4 = – 12

(ii) (-1) x 24 – 24

(iii) (-30) x (- 24) = 720

(iv) (214) x 0 = 0

(v) (-15) x (7) x 6 = 105 x 6 = 630

(vi) (- 5) = (-7) x (- 4) = 35 x (- 4) = -140

(vii) (-3) x (-2) x (-1) x (5) = [(-3) x (-2)] [(-1) x (-5)] = 6 x 5 = 30

468.

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

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

-2100 + (-2001) - (-5308)

-2100 - 2001 + 5308

-4101 + 5308

1207
469.

Value of (-3) x [2 + (-1)] will be(A) – 1(B) – 2(C) – 3(D) 0

Answer»

(C) – 3

(-3) x [2 + (-1)]

= -3 x [2 - 1]

= -3 x 1

= -3

470.

Calculate : (- 49) ÷ (-7 )

Answer»

(- 49) ÷ (-7) 

We know, (- a) ÷ (- b) = a ÷ b 

= (- 49) ÷ (- 7) 

= 49 ÷ 7 

= 7

471.

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

Answer»

Let the required integer be x.

According to question,

x + (-42) = 30

⇒ x – 42 = 30

⇒ x = 30 + 42 = 72

472.

Fill in the blanks to make the statements true:(-80) + 0 + (-90) = .........

Answer»

-170

(-80) + 0 + (-90) 

= -80 + 0 – 90 

= -170

473.

Fill in the blanks to make the statements true:(–80) + 0 + (–90) = _______

Answer»

(–80) + 0 + (–90) = -170

474.

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

Answer»

49 – (–40) – (–3) + 69

49 + 40 + 3 + 69

161

475.

What is the solution of [-8) + 3| ÷ (-2) +1] ?

Answer»

[(- 8) + 3] [(-2) + 1] 

= [ 8 + 3] ÷ [-2 + 1]

= -5 ÷ (-1) 

= 5

476.

Predecessor of whole number 0 will be(A) -1(B) -2(C) 1(D) none of these

Answer»

(D) none of these

477.

What will be the product of 5 negative numbers?(A) Negative(B) Positive(C) 0(D) None of these

Answer»

(A) Negative

478.

Write any five negative integers.

Answer»

-1, -2, -3, -4, -5, -6,

479.

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

Answer»

Let the required integer be x.

According to question,

x + (-90) = -80

⇒ x – 90 = – 80 

⇒ x = -80 + 90 = 10

480.

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

Answer»

We have,

49 – (-40) – (-3) + 69

= 49 + 40 + 3 + 69 

= 161

481.

Fill up the blank(i) 5) + (- 8) = (- 8) + (……)(ii) -53 + …… = -53(iii) 17 + …… = 0(iv) [13 + (-12)] + (……) = 13 + [(- 12) + (-7)](v) (-4) + [15 + (-3)] = [-4 + 15] + ……

Answer»

(i) (-5), (ii) 0, (iii) (-17), (iv) (-7), (v) (-3)

482.

Find the value of 8 x (6 – 3)

Answer»

8 x (6 – 3) 

= 8 x 3 

= 24

483.

If a is an integer then value of a + 0 will be(A) a(B) 0(C) 1(D) undefined

Answer»

(D) undefined

484.

If we are at 8 on the number line, in which direction should we move to reach the integer (a) –5 (b) 11 (c) 0?

Answer»

(a) Left 

(b) Right 

(c) Left

485.

True/False(i) If a positive integer is added then move in right side.(ii) If a negative integer is subtracted then move in left side.(iii) An integers a is multiplied with 0 then product is a.(iv) (-6) ÷ (-2) = (-2) ÷ (-6)(v) (-1) x (-1) x (-1) x (-1) = -1

Answer»

(i) True
(ii) True
(iii) False
(iv) False
(v) False

486.

If we are at 8 on the number line, in which direction should we move to reach the integer(a) -5(b) 11(c) 0

Answer»

(a) If we are at 8 on the number line, then to reach the integer -5, we must move towards the left on the number line.

(b) If we are at 8 on the number line, then to reach the integer 11, we must move towards the right on the number line.

(c) If we are at 8 on the number line, then to reach the integer 0, we must move towards the left on the number line.

487.

Fill in the blanks to make the statement true.(–a) + b = b + Additive inverse of __________.

Answer»

a:

(–a) + b = b + (-a)

(–a) + b = b + Additive inverse of (a)

488.

On the number line, if we move to left the value of the number …………….. A) Increases B) Decreases C) No change D) None of these

Answer»

B) Decreases

489.

The additive inverse of 1 is A) 1 B) 0 C) -1D) 2

Answer»

Correct option is  C) -1

490.

Fill in the blanks:1) Additive inverse of – 2 isa) -12) On the number line which is to the left of ‘0’is ………………b) -23) Biggest negative integer is ……………..c) 24) Greatest integer of -2, -10, -8, -100d) 15) The value of 2-(-2) + (-4) =e) 0

Answer»
1) Additive inverse of – 2 isc) 2
2) On the number line which is to the left of ‘0’is ………………a) -1
3) Biggest negative integer is ……………..d) 1
4) Greatest integer of -2, -10, -8, -100b) -2
5) The value of 2-(-2) + (-4) =e) 0
491.

Additive inverse of(-a) is ……………..

Answer»

Correct Answer is  a

492.

Fill in the blanks.(i) The potable water available at 100 m below the ground level is denoted as ______ m.Hint: Below ground level – negative; ground level – 0; above ground level – positive.(ii) A swimmer dives to a depth of 7 feet from the ground into the swimming pool. The integer that represents this, is ______ feet.Hint: Below ground level – negative numbers.(iii) -46 is to the _____ of -35 on the number line.Hint: -46 &lt;-35(iv) There are _____ integers from -5 to +5 (both inclusive).(v) ______ is an integer which is neither positive nor negative.

Answer»

(i) -100

(ii) -7

(iii) Left

(iv) 11

(v) 0

493.

The sum of two integers one of which is positive and the other is negative, then the sum may be either ……………. or ……………..

Answer»

positive, negative (or) zero

494.

Find the opposite of the following numbers.(i) 44(ii) -19(iii) 0(iv) -312(v) 789

Answer»

(i) Opposite of 44 is – 44

(ii) Opposite of-19 is + 19 or 19

(iii) Opposite of 0 is 0

(iv) Opposite of-312 is + 312 or 312

(v) Opposite of 789 is – 789.

495.

The statement “When an integer is added to itself, the sum is greater than the integer” is(A) always true(B) never true(C) true only when the integer is positive(D) true for non-negative integers

Answer»

(C) true only when the integer is positive

For example : 

Consider the positive integer 5 = 5 + 5 = 10

In positive integer the sum is greater than the integer.

But in negative integer -4 = -4 + (-4)

= – 4 – 4

= – 8

In negative integer the sum is less than the integer.

496.

State whether the statements are True or False.Difference of two negative integers cannot be a positive integer.

Answer»

False

E.g.: -2 – (-5) = -2 + 5 = 3 (positive integer)

497.

If 15 km east of a place is denoted as + 15 km, what is the integer that represents 15 km west of it?

Answer»

Opposite of east is west.

∴ If 15 km east is + 15 km, then 15 km west is – 15 km.

498.

The integer with negative sign (–) is always less than (A) 0 (B) –3 (C) –1 (D) –2

Answer»

The correct option is (A) 0.

499.

When a negative integer is subtracted from another negative integer, the sign of the result(A) is always negative (B) is always positive(C) is never negative (D) depends on the numerical value of the integers

Answer»

(D) depends on the numerical value of the integers

For example: 

(i) – 4 – (-3) = -4 + 3

= – 1

(ii) – 6 – (-9) = – 6 + 9

= 3

500.

The integer with negative sign (–) is always less than(A) 0 (B) –3 (C) –1 (D) –2

Answer»

(A) 0

Negative integers are always comes left to the 0, so negative integers always less than 0.