Download Document

1. INTEGERS
I. Fill in the blanks.
1.The
greatest negative integer is _____________
2.What
is the value of expression (- Z ) × (- A) _____________
3.Whole
4.The
number when multiplied by zero gives _____________
smallest positive integer is _____________
5.Write
the integer used to represent 200mtr above the sea level. _____________
6.Evaluate
7.Find
the additive inverse of 10
8.Subtract
9.30)
13-(-13)
2112 from 0
+ {(-34) + (- 82)} = (- 30) + {(-34) + (
10.345)
)} Fill in the blank to make the given statement true
(___) = 345
11.__________X
200 = 0
12._________X11
= - 121
II. Choose the correct option. (1MARK)
1.Integer
used to represent a withdrawal of Rs. 200 is
(A) depositing Rs. 200
(B) + Rs. 200
(C) - Rs. 200
2.The
(D) - 200
(A) 0
smallest positive integer is
(B) 100
(C) 1
3.The
product of three integers does not depend upon the grouping of integers and this is
(D) 9
called
(A) The associative property for multiplication
(B) Distributive property for multiplication
(C) Commutative property for multiplication
(D) None of these
4.Any
whole number when multiplied by zero gives
(A) 1
(B) 0
(C) 2
(D) None of these
5.Product
(A) +1
of two integers is -48. If one of the integers is -6 then the other is
(B) +288
(C) 0
(D) +8
6.What
is the value of expression (- x ) × (- y)
(A) - xy
(B) x × - y
(C) xy
(D) none of these
7.Which
one of the following is associative property?
(A) a + (b × c) = (a × b) + c
(B) a + (b + c) = (a + b) + c
(C) a × (b + c) = c × (a + b)
(D) none of these
8.Which
one of the following is commutative property of addition?
(A) a + b = b + a
(B) a × b = b × a
(C) a / b = b /a
(D) a - b = b - a
9.The
greatest negative integer.
(A) - 100
(B) -9
(C) -1
(D) does not exist
10.Which
one of the following options is pair of integers whose sum is (-3)?
(A) (- 1) and (- 2)
(B) 2 and 1
(C) (- 2) and 1 (D) 2 and (- 1)
11.The
reciprocal of
(A) -2/3
12.The
is
(B) -3/2
value of (-1) (-5)
(A) 120
(B) 130
(C) 3/2
(D) -3/2
(-4) (-7)
(C) 140 (D) -140
13.Which
is a commutative property in the following?
(A) (a+b)+c=a+(b+c)
(B) a (b+c) = a b+a c
(C) a (b-c) = a b-a c
(D) a+b = b+a
14.One
(A) +12
integer is greater than the other by +4. If one number is -16 then the other is
(B) 0
(C) -1
(D) -12
15.Reciprocal
of
is
(A) -
(B) 0
16.Negative
(A) negative
(C) 1
of a negative integer is
(B) zero
(D) 8
(C) positive
(D) none
17.Closure
property is observed w. r. t. ............... operations in integers.
(A) +, × (B) +, /, ×
(C) +, ×, (D) +, -, /
18.(144)/
16
(A) + 9 (B) + 11
(C) - 9
× (- 3) × (+ 4) × (- 6) =
(A) - 144
(B) - 908
(D) - 11
19.(12)
+ (- 32) =
(A) + 60
(C) + 864
(D) - 864
20.(28)
21.(5)
(A) 5
(B) - 60
(C) 0
(D) .60
+ (-8) = (-8) + (……………), fill in the blanks to make the given statement true:
(B) (-5)
(C) 8
(D) (-8)
22.In
the following which pair of integers whose sum gives a negative integer?
(A) 2, 3
(B) 3, 4
(C) -1, 3
(D) -2, 1
23.In
the following which pair of integers whose difference gives a positive integer?
(A) -1, 2
(B) -3, -1
(C) 5, 4 (D) 4, 5
24.(105)
(A) 35
25.……
(A) 1
(7) = ………
(B) -15
48 = -1
(B) -48
(C) -45
(D) 45
(C) 48
(D) none of them
26.The
product of a positive integer and a negative integer is ……..
(A) Negative
(B) Positive
(C) Both (a) and (b)
(D) None of them
27. (3) x0
(A) 3
=………….
(B) -3
(C) 0
(D) 1
28.Find
the product of 15 x(-25) + (-5) x(-6)
(A) 345
(B) -345
(C) 335
)x(-16) = …….
(A) 240
(B) -240
(D) -335
29.(15
(C) 230
(-100) = ………..
(A) -2500
(B) 2500
(D) -230
30.(25)
(C) 2400
(D) none of them
31.The
multiplicative identity for integers is
(A) 1
(B) -1
(C) 0
(D) none of them
32.Find
the integer whose product with (-1) is (-26)
(A) 23
(B) 22
(C) 26
(D) -26
33.Which
(A) -1
34.Which
(A) -25
35.(49)
(A) -7
is the greatest integer in the following?
(B) -25
(C) -50
(D) -10
is the smallest integer in the following?
(B) 25
(C) 0
(D) -10
(-7) = …………..
(B) 7
(C) 343
(D) None of them
36.[(8)
+ 7)] ÷[(-11) + 10] = ……
(A) -1
(B) 1
(C) -2
(D) 2
37.Product
of even number of negative integers is…………
(A) Negative
(B) Positive
(C) Both (a) and (b)
38.[(16) ÷2] ÷(-2)
(A) 4
39.The
A)1
= ………..
(B) -8
(C) -4
additive identify of integers is
B)0
C)-1
(D) 8
D)None of these
(D) None of them
40.Which
of the properties does not hold true for subtraction of integers
A) Closure and Community property
B) Closure and Associative property
C) Associative and Community property
D) None of these
41.Sum
A)0
of the integer and its additive inverse is always a
B)1
C)-1
D)None of these
42.a÷0=
A)0
B)a
C)not defined D) None of these
43.If
a and b are integers which of the following is not true?
A)a*b=b*a
B)a*1=a
C)a ÷b=b÷a D)a*0=0
44.8*0*37*(-37)
(A) -10952
is
(B) 0
(C) 8
(D) 10952
(B) 4
(C) 6
(D) 8
(B) -19
(C) 31
(D) -31
(C) 1
(D) None of these
45.2-2+2=?
(A) 2
46.25+(-6)
(A) 19
47.120+(-120)=?
(A) 1
48.Additive
(A) -37
(B) 140
inverse of -37 is
(B) -1/37
(C) 37
(D) 0
49.2*-3=3*-2.
A) Community property of addition (B) community property of multiplication
(C) closure property of addition
(D) closure property of multiplication
50.10*(-3)=?
(A) 30
(B) -30
51.Multiplicative
(C) 10
identity of integer is
(D) -3
(A) 0
(B) - 1
(C) 1
inverse of -2 is
(B) - 2
(C) ½
(D) None of these
52.Multiplicative
(A) 2
53. (60)
(A) -10
÷(-6)=?
(B) 10
(C) -60
Find the x value in 35*x=x*35=35
(A) 1
(B) 0
(C) 35
(D) 0
(D) - 6
54.
(D) None of these
55.Find
the x value in 2*[(-5)+x]=2*(-5)+2*10
(A) 10
(B) 1
(C) 0
(D) 5
56.(8)x(-16)=?
(A) 128
(B) -128
(C) -8
(D) -16
(A) -12
(B) 12
(C) 48
(D) -4
58.7+0=0+x=7
find the value of x
(B) 0
(C) 7
57.48÷(-4)=?
(A) -7
(D) 1
III. Solve the following problems. (2M)
1.The
sum of two integers is - 71. If one of them is - 32 ,find the other?
2.Subtract
(-128) from the sum of 55 and (-38).
3.Subtract
the sum of (- 545) and 125 from 1005.
4.Subtract
(i) 512 from 0 (ii) -35 from 70.
5.Find
the sum of:(i) -256 and 328
6.State
(ii) 2002 and -135
whether true or false
a)Sum of any two integers is always greater than their difference
b)(-26)+57≠57+(-26)
7.Evaluate
each of the following
a)-40+32
b)-7+(-9)
8.Sum
of two integers is 286.If one of the integers is 97.find the other integer.
9.Subtract
-2009 from -1009
10.Subtract
-78 from -30
IV. Solve the following problems.(3M)
1.Multiply
(i) - 25 by 11.
(ii) -15 by -12.
(iii) 0 by - 33.
2.Evaluate
(i) 14 + 7
3.Find
(i) 250
4.Find
(ii) 16 + (-8)
the additive inverse of
(ii) -150
the product.
(i) 2 4 - 6.
5.Simplify
6.Which
(iii) 0
(ii) - 5
-6
-7.
: {(-10) - (-5)} + {(-22) + (-40)}
one of the following options is correct?
(A) (- 8) + (- 4)
(C) (23 - 41 + 11)
7.Write
(iii) (-23) + (-11)
(- 8) - (- 4)
(B) (- 3) + 7- (19)
23 - 41- 11
15 - 8 + (- 9)
(D) All are correct
True or False for each of statement.
1) The smallest integer is 0.
2) -2 is greater than -5.
3) 0 is greater than -55.
4) The quotient of two negative or two positive integer is always positive.
5) The quotient of one positive and one negative integer is always negative.
8.i)
By how much does -2 exceed -6 ?
(ii) What should we subtract from -5 to get -2?
(iii) On subtraction of -4 from 0, what do we get?
9.Fill
in the Blanks.
1) (- 5) x(…...) = 5.
10.Evaluate
2) (…..) ÷55 = 0.
3) (……) ÷(-17) = - 4.
9+23-(-25)+40
11.Complete the following sequences add or subtract the same number repeatedly to obtain the next term
in the sequence. 0,-5,-10,-15,
……… ,-25,………,………
12.Complete the following sequences -108,-118,-128,………
, ……… ,-158, ……….
13.Write
a pair of negative integers which has the difference as -2
14.Write
a pair of integers which has the sum as 0
15.Find
the additive inverse of the following
A)-98
B)0
C)-6969
D)86
16.Evaluate
the each of the following
A)(-5)x(-15)
B)(-10)x5x(-3)
17.Find
8x(-2) using the number line
18.Evaluate the each of the following
1) (-47)÷(-3)
2) 85÷ (7-2)
19.Write
any of three properties of addition?
20.Write
any of three properties of multiplication?
21.Evaluate
-42-[(-30)+(50)]?
22.Evaluate
509-(-19)+(-19)+20+(-20)?
23.Subtract
the sum of 38 and 97 from 237?
24.Subtract-48
from the sum of -34 and -49?
25.Starting
from -10x5 from -10x4?
26.Evaluate
27.Find
-19x-68 using distributive property?
the product of the sum of 57 and -32 and the difference of -32 and 57?
28.Evaluate
29.Evaluate
(15+60-42)÷((-33)÷3)?
(9+16-12-3)÷((-10)?
V. Solve the following problems.(4M)
1.Write
any four properties of addition with examples.
2.Write
any four properties of multiplication with examples.
3.Evaluate
[-437-1+8]+[234-(-10)]-[15+(-17)]
4.If
a = - 5, b = -6 and c = 8 Then show that
(i) (a + b) + c = a + (b + c)
(ii) (a - b) ≠(b - a).
5.Simplify
using suitable properties
(i) (-25) x72 + (-25) x42.
(ii) 8 x13 + 8 x(-7).