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CBSE Questions for Class 6 Maths Integers Quiz 5 - MCQExams.com
CBSE
Class 6 Maths
Integers
Quiz 5
A driver is
20
m below sea level. If he goes further down by
10
m, then find his new position.
Report Question
0%
10
m
0%
−
10
m
0%
30
m
0%
−
30
m
Explanation
Let the ground level indicated by the brown line be 0. Then all distances travelled in the upward direction will be +ve and all the distances travelled in the downward direction will be _ve.
From the figure, it is clear that the new position of the driver is
(
−
20
)
−
10
=
−
30
⟹
30
m
below sea level.
Subtract
−
134
from
−
38
Report Question
0%
−
96
0%
96
0%
−
183
0%
183
Explanation
As per the question :
−
38
−
(
−
134
)
=
−
38
+
134
=
96
In each of the following pairs, which pair of the integer is placed correctly according to the number line.
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0%
−
13
,
−
26
0%
−
9
,
18
0%
−
29
,
−
13
0%
10
,
−
100
Explanation
On representing on the number line
18
is on the right of
−
9
−
13
is on the right of
−
29
−
100
is on the left of
10
−
26
is on the left of
−
13
Which of the following is not an integer?
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0%
0
0%
−
1
0%
−
1.5
0%
1
Explanation
An integer is a whole number which can be positive negative or zero. the set of integers is denoted by
Z
and defined by
Z
=
{
0
,
±
1
,
±
2
,
±
3
⋯
}
So options
A
,
B
,
D
all are integers.
And option C which is 1.5 is not an integer.
Hence option
C
is correct answer.
Zero is larger than every negative integer.
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0%
True
0%
False
Explanation
∙
Integers which lie right to zero on the number line are positive integers.
∙
Integers which lie left to zero on the number line are negative integers.
Thus, zero is always larger than every negative integer.
∴
\textbf{The given statement is True}
State true or false:
Every negative integer is less than every natural number.
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0%
True
0%
False
Explanation
From the definition of negative integer we've, a number (integer) is said to be negative if
x<0
.
From the definition of positive integer we've, a number (integer) is said to be positive if
x>0
.
So it is clear that positive integers (natural numbers) are greater than negative integers.
So the given statement is true.
State true or false:
0 is the smallest positive integer.
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0%
True
0%
False
Explanation
False,
Zero is neither positive nor negative integer. Smallest positive integer is
1.
State true or false:
A positive integer is greater than its opposite.
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0%
True
0%
False
Explanation
True
As all positive number are greater than all negative numbers.
State whether true or false
-13 > 10
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0%
True
0%
False
Explanation
False: A negative number is always less than a positive number
correct equation:
-13 < 10
State whether true or false:
The sum of a negative integer and a positive integer is always a negative integer.
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0%
True
0%
False
Explanation
The given statement is false.
As, take
-2
and
3
, these are one negative and one positive integer.
Now their sum is
-2+3
=1
, which is a positive integer.
State true or false:
The successor of
-1
is
1.
Report Question
0%
True
0%
False
Explanation
Successor of
-1
is
= -1 + 1
= 1- 1
=0
0
is successor of
-1
So statement is false.
State whether true or false
-4 < 2
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0%
True
0%
False
Explanation
We know
-4<2
.
So the given statement is true.
State whether true or false
The sum of two negative integers is a positive integer.
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0%
True
0%
False
Explanation
Let us consider two integers
-3
and
-2
Sum of
-3
and
-2 = - 3 + (-2)
= -5
=
Negative integer.
Thus, we can say that the sum of two negative integers is not a positive integer.
\therefore
\textbf{The given statement is False}
(- 35) + (-32)
is equal to
Report Question
0%
67
0%
-67
0%
-3
0%
3
Explanation
Now,
(-35)+(-32)
=-35-32
=-67
.
State true or false:
Additive inverse of a negative integer is positive.
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0%
True
0%
False
Explanation
The most general form of a negative integer is
-n
for
n
being a natural number.
Now the additive inverse of the number is
-(-n)
i.e.
n
. [ Since
-n+(-(-n))=0
]
So the additive inverse of a negative integer is a positive integer.
So the given statement is true.
Eg :
Additive inverse of negative integer
-3
is
3
as
[-3+3=0]
-12
and
+12
represent on the number line the same integer.
Report Question
0%
True
0%
False
(-29)+5
is equal to
Report Question
0%
24
0%
34
0%
-34
0%
-24
Explanation
Let
(-29)+5=x
we can see that
29
has negative sign and
5
has positive sign.
So
+
and
-
will be
-
So
-29+5=-24
because
24
will have sign of
29
.
Option (D)
State whether the following statement is true or false:
Additive inverse of a positive integer is negative.
Report Question
0%
True
0%
False
Explanation
The most general form of a positive integer is
n
for
n
being a natural number.
Now the additive inverse of the number
n
is
-(n)
i.e.
-n
. [ Since
n+(-n)=0
]
So the additive inverse of a positive integer is a negative integer.
So the given statement is
True
.
Ex:-Additive inverse of positive integer
2
is
-2
as
[2+(-2)=0]
Which of the following statement is true?
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0%
- 7 > - 5
0%
- 7 < - 5
0%
(- 7) + (- 5) > 0
0%
(- 7)- (- 5) > 0
Explanation
We know that,
7>5
then
-7<-5
.
Again,
(-7)+(-5)=-7-5=-12<0
.
And,
(-7)-(-5)
=-7+5=-2<0
.
So option (B) is correct.
The successor of
- 22
is
Report Question
0%
-23
0%
-21
0%
23
0%
21
Explanation
The successor of the number
-22
is the number just after it.
And it is
=-22+1=-21
.
Answer the following using number line.
6
more than
- 7
is
Report Question
0%
1
0%
-1
0%
13
0%
-13
Explanation
-7+6=-1
On subtracting
- 7
from
-14
, we get.
Report Question
0%
-21
0%
-7
0%
-14
0%
21
Explanation
According to question,
-14 -(-7)
=-14 + 7
=- 7
State whether true or false
Additive inverse of a negative integer is negative.
Report Question
0%
True
0%
False
Explanation
The most general form of a negative integer is
-n
for
n
being a natural number.
Now the additive inverse of the number is
-(-n)
i.e.
n
. [ Since
-n+(-(-n))=0
]
So the additive inverse of a negative integer is a positive integer.
So the given statement is false.
What should be added to
18
to get
- 34
?
Report Question
0%
52
0%
-52
0%
-16
0%
16
Explanation
Let the number be
x
.
Then according to the problem we get,
x+18=-34
or
x=-34-18
or
x=-52
.
The successor of
- 79
is
Report Question
0%
-80
0%
-78
0%
80
0%
78
Explanation
The successor of
-79
is the integer just after it.
So the successor of the integer
-79
is
-79+1=-78
.
The predecessor of
- 99
is
Report Question
0%
-98
0%
-100
0%
98
0%
100
Explanation
The predecessor of
-99
is the integer just before the given number.
So the predecessor of
-99
is
-99-1=-100
.
The additive inverse of
17
is
Report Question
0%
-17
0%
17
0%
\dfrac {1}{17}
0%
-\dfrac {1}{17}
Explanation
The additive inverse of
17
is
-17
since
17+(-17)=(-17)+17=0
. Where
0
is the additive identity.
4
more than
-5
is
Report Question
0%
9
0%
-9
0%
-1
0%
1
Explanation
4
more than
-5
indicates
-5 + 4 = -1
4
more than
-5
is
-1
Option
(C)
is the correct answer
The successor of
-18
is
Report Question
0%
-19
0%
17
0%
-17
0%
19
Explanation
Since in succession we move from left to the right on the number line.
And ,
-17
lies on right side of
-18
Hence,
-17
is the successor of
-18
Option
(C)
is the correct answer
49 + (-27) =?
Report Question
0%
-73
0%
73
0%
22
0%
None of these
Explanation
(49) + (-27)
= 49 – 27
=22
Option
(C)
is the correct answer
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