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CBSE Questions for Class 6 Maths Integers Quiz 4 - MCQExams.com
CBSE
Class 6 Maths
Integers
Quiz 4
Check whether the following statement is true or false.
Zero is greater than every negative integer.
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True
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False
Explanation
It is True.
Because in the number line all the negative numbers lie on the left side of the zero, so they are smaller than zero.
Zero is neither positive nor negative.
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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.
$$\bullet$$
Zero is neither a negative integer nor a positive integer.
$$\therefore$$ $$\textbf{The given statement is True}$$
State whether the following statements are true (T) or false (F):
If $$x$$ is a negative integer, then $$-x$$ is a positive integer.
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True
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False
Explanation
If $$x$$ is a negative integer, then $$-x$$ is a positive integer. True
Difference of two negative integers cannot be a positive
integer
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True
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False
Explanation
False
Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then
going 500 m back.
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True
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False
Explanation
True
Case I - when he travels towards east
$$(500-200) m=300 m$$
Case II- when he travels towards west
$$(200-500) m=-300 m$$
State whether the following statement is true or false:
$$0$$ has no predecessor in integers
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True
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False
Explanation
$$0$$ has no predecessor in integers: False
As $$0$$ has $$-1$$ as its predecessor.
State whether the following statement is true or false:
$$0$$ is the successor of $$-1$$ in integers
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True
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False
Explanation
$$0$$ is the successor of $$-1$$ in integers: True
Calculate:
$$-12-(-7)$$
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$$5$$
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$$-5$$
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$$15$$
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$$-19$$
Explanation
$$ -12 - (-7) $$
$$ = -12 + 7 = -5$$
State true or false:
The opposite of zero is zero.
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True
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False
Explanation
True
As $$-0=0$$
State true or false:
Every negative integer is smaller than $$0$$.
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True
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False
Explanation
A negative integer is
a whole number that has a value less than zero
.
Hence they all lie on the left of 0 on a number line.
'$$0$$' is greater than every positive integer
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True
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False
Explanation
'$$0$$' is on left of every positive integer, when represented on number line.
So, it is smaller than every positive integer.
Hence, the given statement is false.
"Rajanikant had loss of Rs.$$238$$ ."
This is represented by
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$$+238\%$$
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$$-238\%$$
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$$+238$$
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$$-238$$
Explanation
Loss of $$238$$. From the reference level, loss $$= -$$ve and profit is $$= +$$ve.
Therefore loss of 238$$=-238$$
The temperature at the foot of a mountain is $$+5^{\circ}$$C. It fell down by $$10^{\circ}$$C at the top of the mountain. The temperature
recorded on the top is:
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$$+15^{\circ}$$C
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$$-15^{\circ}$$C
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$$+5^{\circ}$$C
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$$-5^{\circ}$$C
Explanation
It is given that the temperature at the foot of a mountain is $$+5^0$$C and it fell down by
$$10^0$$C
at the top of the mountain which can be represented as $$-10^0$$C.
Adding both to find the temperature recorded on the top as follows:
$$(+5)+(-10)=5-10=-5$$
Hence,
the temperature recorded on the top is
$$-5^0$$C
.
Integer used to represent $$30$$ km towards the right:
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$$30$$ km left
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$$-30$$ km
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$$+30$$ km
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$$0$$
Explanation
The integer used to represent $$30$$ km towards the west is $$ +30 $$ km
Hence, the answer is $$+30$$ km.
Choose the correct statement from following:
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$$8,58,68,788 > 8,58,78,688 > 8,58,88,687$$
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$$8,58,78,688 > 8,58,68,788 > 8,58,88,687$$
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$$8,58,68,788 > 8,58,88,687 > 8,58,78,688$$
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$$8,58,88,687 > 8,58,78,688 > 8,58,68,788$$
Explanation
Clearly the first $$3-$$digits of each number are same.
So, let us compare rest of the remaining $$5-$$digits of each number.
For option $$\text{A}$$, we have
$$68788,78688,88687$$
Clearly, $$88687>78688>68788$$
So, option $$\text{A}$$ is wrong.
Now, check for option $$\text{D}$$
We have, $$88687, 78688, 68788$$
Clearly, $$88687>78688>68788$$$$
So, option $$\text{D}$$ is correct.
Evaluate:
$$-123-(-23)$$
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$$146$$
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$$-146$$
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$$100$$
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$$-100$$
Explanation
Given that
We have to find the value of given expression
$$-123-(-23)$$
we know that $$(-) \times (-) = +$$
and
$$(+) \times (-) = -$$
$$=-123+23$$
$$=-100$$
So option $$D $$ is correct
The identity elements with respect to addition in integers is
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$$1$$
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$$-1$$
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$$0$$
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none
Explanation
Any mathematical object that ,when applied by an operation ,such as addition and multiplication ,to another mathematical object ,such as numbers , leaves the another object unchanged is called an identity object.
The identity element with respect to addition in integers is '$$0$$'.
"Varsha dug the soil $$200$$ m deep." Represent this situation using
integer.
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$$100$$
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$$-100$$
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$$200$$
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$$-200$$
Explanation
The positive integers are represented as by the sign $$(+)$$ in front of the each $$'n'$$ integer. The set of positive integers may be denoted by $$Z^+$$. Positive integers are:
$$Z^+ = {1, 2, 3, 4, 5, .....}$$
The negative integers are the collection of real numbers with negative sign $$(-)$$ in front of the standard numerals and are always less than zero. The set of negative integers is represented by $$Z^−$$. Negative integers are written as:
$$Z^− = {...., -5, -4, -3, -2, -1}$$
Moreover, shallow represents the positive sign $$(+)$$ and deep represents the negative sign $$(-)$$.
Hence, the statement "Varsha dug the soil $$200$$ m deep." represents the negative sign that is $$-200$$.
Obtain the following:
$$(+138) + (-234)$$
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$$60$$
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$$372$$
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$$96$$
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$$-96$$
Explanation
Write given integers in addition expression and we get:
$$(+138) + (-234)$$
Subtract smaller integer $$138$$ from bigger integer $$234$$ as follows:
$$234-138=96$$
Since, the bigger integer $$234$$ is a negative integer, so the result should also be negative that is $$-96$$
Hence, $$138-234=-96$$.
Find:
$$(+22) + (-16)$$
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$$-6$$
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$$6$$
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$$5$$
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$$-5$$
Explanation
Write given integers in addition expression and we get:
$$(+22) + (-16)$$
Subtract smaller integer $$16$$ from bigger integer $$22$$ as follows:
$$22-16=6$$
Since, the bigger integer $$22$$ is a positive integer, so the result should also be positive that is $$+6$$ or $$6$$.
Hence, $$-16+22=6$$
Evaluate:
$$(+5)+(-6)= ?$$
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$$-1$$
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$$1$$
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$$2$$
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$$-2$$
Explanation
Write given integers in addition expression and we get:
$$(+5) + (-6)$$
Subtract smaller integer $$5$$ from bigger integer $$6$$ as follows:
$$6-5=1$$
Since, the bigger integer $$-6$$ is a negative integer, so the result should also be negative that is $$-1$$
Hence, $$+5-6=-1$$.
The coordinate of $$3^{rd}$$ alphabet on left of $$C$$ is
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$$-3$$
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$$3$$
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$$0$$
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$$1$$
Explanation
$$3$$rd alphabet to the left of $$C$$ is O.
O lies on $$0$$ on number line. Hence, its coordinate is $$0$$.
State whether the following statement is true or false:
Every integer is a whole number.
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True
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False
Explanation
This statement is false because the set of integers is represented as Z $$= { -2, -1, 0, 1, 2...}$$ and the set of whole numbers is W $$= {0, 1, 2, 3...}.$$ We see that the negative integers are not the elements of the whole numbers set. For example, $$-2$$ is an integer but not a whole number.
$$\therefore$$ we conclude that every whole number is an integer but every integer is not a whole number.
Evaluate:
$$-675-(25)$$
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$$0$$
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$$100$$
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$$700$$
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$$-700$$
Explanation
The given expression $$-675-(25)$$ can be solved as follows:
$$(-675) + (-25)=-675-25=-1(675+25)=-700$$
Hence, $$-675-(25)=-700$$.
In which of the following pairs of integers, the first integer is not on the left of the other integer on the number line?
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$$(-1, 10)$$
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$$(-3, -5)$$
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$$(-5, -3)$$
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$$(-6, 0)$$
Explanation
We have to find the first integer which is right of the second integer.
(a)
$$-1$$ lies on the left of $$10$$
$$\therefore$$ $$\bf{-1 < 10}$$
(b)
$$-3$$ lies on the right of $$-5$$
$$\therefore$$ $$\bf{-3 > -5}$$
(c)
$$-3$$ lies on the right of $$-5$$
$$\therefore$$ $$\bf{-5 < -3}$$
(d)
$$0$$ lies on the right of $$-6$$
$$\therefore$$ $$\bf{-6 < 0}$$
$$\textbf{From all the four options, -3 is not on the left of -5}$$.
$$\therefore$$ $$\textbf{Option (B) is correct}$$.
Which situation is best represented by the integer $$-12$$?
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The length of curtains is increased by $$12$$ inches
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The price of petrol is reduced by Rs. $$12$$
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The size of picture is enlarged by $$12$$ percent
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The temperature rises by $${12}^{o}C$$
Explanation
Let increase in the petrol be represented by $$+$$ and decrease in the petrol be represented by $$-$$.
Situation in option (a), (c), (d) represents $$+12$$
SItuation in option (b) represents $$-12$$
Answer B
The integer $$5$$ units to the right of $$0$$ on the number line is:
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$$+5$$
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$$-5$$
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$$+4$$
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$$-4$$
Explanation
On the number line identify zero and move 5 units towards the right.
We will reach $$+5$$
$$\therefore$$ $$\textbf{Option (a) is correct}$$.
State whether the following statement istrue (T) or false (F):
The successor of $$ -29 $$ is $$ 30 $$.
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True
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False
Explanation
$$ 30 $$ is the successor of $$ -29 $$.-False
Correct
$$ -28 $$ is the successor of $$ -29 $$.
Which of the following option is not true with respect to given number line?
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$$B$$ is greater than $$-10$$
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$$A$$ is greater than $$0$$
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$$A$$ is greater than $$B$$
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$$B$$ is greater than $$0$$
Explanation
We have,
$$A=8$$ and $$B=-4$$
The numbers on the number line increase on moving from left to right on the number line. The point $$B$$ is left to the number $$0$$, so $$B$$ is less than $$0.$$.
$$A. \,-4 > -10 \Rightarrow B > -10$$ True
$$B$$ is right to $$-10$$. So, $$B$$ is greater.
$$B.\, 8>0 \Rightarrow A > 0$$ True
$$A$$ is right to $$0$$. So, $$A$$ is greater.
$$C. A > -4 \Rightarrow A > B$$ True
$$A$$ is right to $$B$$. So, $$A$$ is greater.
$$D. \, As \,-4<0 \Rightarrow B < 0$$.
So, $$B> 0$$ is false.
$$0$$ is right to $$B$$. So, $$0$$ is greater.
Which of the following statements is CORRECT?
Statement-$$1$$: When a positive integer and a negative integer are added, we always get a negative integer.
Statement-$$2$$: When two negative integers are added, we get a positive integer.
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Only Statement-$$1$$
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Only Statement-$$2$$
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Both Statement-$$1$$ and Statement-$$2$$
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Neither Statement-$$1$$ nor Statement-$$2$$
Explanation
When a positive integer and a negative integer are added, we can get a positive or negative integer.
Therefore, statement $$1$$ is false.
Fro example: $$-4+3=-1$$ or $$4+(-3)=1$$
And when two negative integers are added, we get a negative integer.
$$\therefore$$ Statement $$2$$ is false.
For example: $$-3+(-4)=-7$$
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