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CBSE Questions for Class 6 Maths Whole Numbers Quiz 4 - MCQExams.com
CBSE
Class 6 Maths
Whole Numbers
Quiz 4
If $$a$$ and $$b$$ are any two whole numbers, then $$a + b = b + a$$.
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0%
True
0%
False
Explanation
True, as adding two whole number will always result in a whole number and it follows commutative law.
$$e.g\ 0+3=3, 3+0=3$$
$$5+3=8,3+5=8$$
Every whole number $$+ 0 =$$ The whole number itself.
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0%
True
0%
False
Explanation
True.
Commutativity and associativity are properties of natural numbers and whole numbers both.
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0%
True
0%
False
Explanation
True.
Every whole number $$\times 1 =$$ The whole number itself.
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0%
True
0%
False
Explanation
True.
Find the product of greatest $$3$$-digit number and greatest $$2$$-digit number?
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$$98900$$
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$$98901$$
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$$98902$$
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$$98903$$
Which of the following is correct representation of $$ 2 + 3 = 5$$ on number line?
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0%
0%
0%
0%
None of these
Explanation
As can be evident from the image going $$3$$ steps after $$2$$ yields $$5$$, which is similar in analogy to $$(2+3=5)$$
Which of the following is the correct representation of $$4$$ in a straight line?
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0%
A
0%
B
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C
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D
Explanation
As we can see that only D has 4 dots thus representing no. 4.
The value of
$$116 \times 50$$ (using any numerical short cut)
is
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$$5700$$
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$$5800$$
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$$5900$$
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none of these
Which of the three whole numbers that can be represented as triangles using dots are
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$$2, 4, 6$$
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$$3, 6, 7$$
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$$4, 6, 9$$
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$$3, 6, 10$$
Evaluate following using any shortcut:
$$84 \times 9$$
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$$754$$
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$$755$$
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$$756$$
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none of these
Find the missing term:
$$736 \times 99 = 736 \times ? - 736 \times 1$$
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0%
100
0%
101
0%
102
0%
103
Obtain the following:
$$96 \times 250$$
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$$22000$$
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$$24000$$
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$$26000$$
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$$28000$$
If, A: Every whole number is a natural number
R : 0 is not a natural number.
Then which of the following statement is true?
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A is false and R is the correct explanation of A.
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A is true and R is the correct explanation of A.
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A is true and R is false.
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Both A and R are true.
Explanation
The set of whole numbers is $${0,1,2,3,......}$$ where $$0$$ is the least whole number.
The set of natural numbers is $${1,2,3,......}$$.
From the above statements, we conclude that every natural number is a whole number but every whole number is not a natural number because $$0$$ is not a natural number.
Therefore,
$$0$$ is not a natural number and this proves that
every whole number is not a natural number
.
Hence, the statement A is false and R is the correct explanation of A.
(38 + 83) + 38 = 38 + (83 + 38) is an example of ........... property.
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Commutative
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Associative
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Closure
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Distributive
Associative property is used between ...........
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Two numbers
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Three numbers
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Four numbers
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Ten numbers
Closure property is satisfied in whole numbers w.r.t. to ......... and ......... .
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addition and subtraction
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addition and division
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addition and multiplication
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multiplication and division.
Explanation
Closure property for addition :
If $$a$$ and $$b$$ are two whole numbers and their sum is $$c$$, i.e. $$a + b = c$$, then $$c$$ is will always a whole number.
For any two whole numbers $$a$$ and $$b$$, $$(a + b)$$ is also a whole number. For example:
$$3 + 4 = 7$$ which is also a whole number.
But $$3 - 4 = -1$$
which is not a whole number.
So, the property of closure for subtraction is not always true.
Closure property for multiplication :
If $$a$$ and $$b$$ are whole numbers then their multiplication is also a whole number.
For any two whole numbers $$a$$ and $$b$$, $$(a\times b)$$ is also a whole number.
For example:
$$30\times 7 = 210$$ which is also a whole number.
But property of closure is not always true for division. For example:
$$45\div 0 =$$ not defined
As division with zero is not possible.
Hence, closure property is satisfied in whole numbers w.r.t. to addition and multiplication.
Which of the following satisfies closure property?
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$$3+4=7$$
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$$5+6=11$$
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$$10+2=12$$
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all of these
Explanation
For any two whole numbers a and b, (a + b) is also a whole number. This is called the
Closure-Property
of Addition.
$$3$$ and $$4$$ are whole numbers
$$3+4=7$$
$$7$$ is also whole number.
Similarly, it is true for all whole numbers.
Thus the answer is all of these.
If $$a$$ & $$b$$ are two whole numbers then commutative law is applicable to subtraction if and only if
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0%
$$a = b$$
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a $$\displaystyle \neq $$ b
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$$a > b$$
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$$a < b$$
Explanation
If $$a = b$$ then $$a - b = 0$$ and $$b - a = 0$$
so $$a - b = b - a$$
Hence commutative law holds good
Simplify using distributive property:
$$(126\times 33) + (126\times 67)$$ is
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0%
$$1,260$$
0%
$$12,600$$
0%
$$1,26,000$$
0%
$$1,000$$
Explanation
The Distributive Property is easy to remember if you recall that "multiplication distributes over addition".
Formally, they write this property as $$"a(b + c) = ab + ac".$$
$$(126\times 33) + (126\times 67)$$
$$= 126 \times (33 + 67)$$ ($$\because$$ distributive property)
$$= 126\times 100$$
$$= 12,600$$
Which of the following statements is correct?
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Subtraction is commutative for integers.
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Division is associative for rational numbers.
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Multiplication is not associative for whole numbers.
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Addition is closed for natural numbers.
Which of the following statements is not true?
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Both addition and multiplication are associative for whole numbers.
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Zero is the identity for multiplication of whole numbers.
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Addition and multiplication both are commutative for whole numbers.
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Multiplication is distributive over addition for whole numbers.
Explanation
In the option B,
Zero is not the identity for multiplication of whole numbers.
$$1$$ is the multiplicative identity of whole numbers
$$\therefore$$ $$\textbf{Option B is not true}$$.
Simplify using distributive property:
$$24\times 3 + 7\times 24$$
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0%
$$240$$
0%
$$72$$
0%
$$24$$
0%
$$108$$
Explanation
The Distributive Property is easy to remember if you recall that "multiplication distributes over addition".
Formally, they write this property as $$"a(b + c) = ab + ac".$$
The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping.
For multiplication, the rule is $$"a(bc) = (ab)c"$$
$$24\times 3 + 7\times 24$$
$$= (24\times 3) + (24\times 7)$$ ($$\because$$ commutative property)
$$= 24\times (3 + 7)$$ ($$\because$$ distributive property)
$$= 24\times 10$$
$$= 240$$.
If $$a$$ and $$b$$ are two whole numbers, then commutative law is applicable to subtraction if and only if ________.
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$$a = b$$
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$$a\neq b$$
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$$a > b$$
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$$a < b$$
How many whole numbers are there between 25 and 82?
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56
0%
57
0%
59
0%
58
$$8989900$$ is the successor of
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0%
$$8989899$$
0%
$$8989901$$
0%
$$8989999$$
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$$none\ of\ these$$
Explanation
$$8989900 - 1 = 8989899$$
The natural number 1 has no predecessor.
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0%
True
0%
False
Explanation
$$\textbf{Step 1: Take the predecessor of number 1 .}$$
$$ \text{Predecessor of }$$ $$1= 1-1=0.$$
$$\Rightarrow \text{But zero is not a natural number.}$$
$$\Rightarrow \text{So, Natural number 1 has no predecessor.}$$
$$\textbf{Hence, the statement is true.}$$
State whether the following statement is True or False.
The whole number $$0$$ has no predecessor.
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0%
True
0%
False
Explanation
True, predecessor of $$0$$ is
$$0-1=-1$$, which is not a whole number.
Hence
whole number
$$0$$
0
has no predecessor.
If $$(31 + 15) + x = 31 + (15 + 23)$$, then by using associativity of addition $$x= $$
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0%
$$46$$
0%
$$38$$
0%
$$23$$
0%
$$69$$
Explanation
Given,
$$(31+15)+x=31+(15+23)$$
or, $$31+(15+x)=31+(15+23)$$ [ Using associativity of addition]
Now comparing both sides we get,
$$15+x=15+23$$
or, $$x=23$$.
If $$ x + 12 = 12 + 7$$, then by commutatively of addition, we get$$ x=? $$
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0%
12
0%
7
0%
19
0%
5
Explanation
Given,
$$x + 12 = 12 + 7$$
$$a +b = b + a$$ ....... commutative property of addition
So,
$$x + 12 = 7 + 12$$
On comparing
$$x = 7$$
Which one of the following is not a natural number?
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0%
$$1$$
0%
$$10$$
0%
$$0$$
0%
$$20$$
Explanation
The natural numbers are all the integers which are greater than or equal to $$1$$.
Hence, $$0$$ is not a natural number.
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