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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.
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$$10$$m
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$$-10$$m
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$$30$$m
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$$-30$$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 $$(-20)-10 = -30 \Longrightarrow$$ $$30m$$ below sea level.
Subtract $$-134$$ from $$-38$$
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$$-96$$
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$$96$$
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$$-183$$
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$$183$$
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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$$-13,$$ $$-26$$
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$$-9,$$ $$18$$
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$$-29,$$ $$-13$$
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$$10, -100$$
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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$$0$$
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$$-1$$
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$$-1.5$$
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$$1$$
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
$$Z=\{0,\pm 1,\pm 2,\pm 3\cdots\}$$
So options $$A,B,D$$ all are integers.
And option C which is 1.5 is not an integer.
Hence option $$\textbf C$$ is correct answer.
Zero is larger than every negative integer.
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True
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False
Explanation
$$\bullet$$ Integers which lie right to zero on the number line are positive integers.
$$\bullet$$
Integers which lie left to zero on the number line are negative integers.
Thus, zero is always larger than every negative integer.
$$\therefore$$ $$\textbf{The given statement is True}$$
State true or false:
Every negative integer is less than every natural number.
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True
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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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True
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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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True
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False
Explanation
True
As all positive number are greater than all negative numbers.
State whether true or false
$$-13 > 10$$
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True
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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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True
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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 $$1.$$
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True
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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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True
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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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True
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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
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$$67$$
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$$-67$$
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$$-3$$
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$$3$$
Explanation
Now,
$$(-35)+(-32)$$
$$=-35-32$$
$$=-67$$.
State true or false:
Additive inverse of a negative integer is positive.
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True
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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.
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True
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False
$$(-29)+5$$ is equal to
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$$24$$
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$$34$$
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$$-34$$
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$$-24$$
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.
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True
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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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$$- 7 > - 5 $$
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$$- 7 < - 5 $$
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$$(- 7) + (- 5) > 0 $$
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$$(- 7)- (- 5) > 0$$
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
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$$-23$$
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$$-21$$
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$$23$$
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$$21$$
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
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$$1$$
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$$-1$$
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$$13$$
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$$-13$$
Explanation
$$-7+6=-1$$
On subtracting $$- 7$$ from $$-14$$, we get.
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$$-21$$
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$$-7$$
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$$-14$$
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$$21$$
Explanation
According to question, $$-14 -(-7)$$
$$=-14 + 7$$
$$=- 7$$
State whether true or false
Additive inverse of a negative integer is negative.
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True
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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 $$- 34$$?
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$$52$$
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$$-52$$
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$$-16$$
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$$16$$
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
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$$-80$$
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$$-78$$
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$$80$$
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$$78$$
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
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$$-98$$
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$$-100$$
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$$98$$
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$$100$$
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
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$$-17$$
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$$17$$
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$$\dfrac {1}{17}$$
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$$-\dfrac {1}{17}$$
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
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$$9$$
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$$-9$$
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$$-1$$
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$$1$$
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
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$$-19$$
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$$17$$
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$$-17$$
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$$19$$
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
$$49 + (-27) =?$$
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$$-73$$
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$$73$$
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$$22$$
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None of these
Explanation
$$(49) + (-27) $$
$$= 49 – 27$$
$$=22$$
Option $$(C)$$ is the correct answer
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