Whole Numbers Test

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Whole Numbers Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

38 + 83 = 83 + 38 is an example of:

A
Commutative property

B
Associative property

C
Closure property

D
Distributive property

Solution

Commutative property of addition: Changing the order of addends does not change the sum. For example, $$a+b=b+a$$
So according to the above definition correct answer will be Option A
Question 2
1 / -0

$$80808080$$ comes just after

A
$$80808099$$

B
$$80808081$$

C
$$80808079$$

D
none

Solution

$$80808080-1=80808079$$
Question 3
1 / -0

The smallest natural number is

A
$$0$$

B
$$1$$

C
$$2$$

D
None of these

Solution

We know that natural numbers start from $$1,\ 2,\ 3,\ ...$$

So, the smallest natural number $$=1$$
Question 4
1 / -0

The smallest whole number is

A
$$0$$

B
$$1$$

C
$$2$$

D
None of these

Solution

The Whole Numbers start from $$ 0 $$ and go on increasing.
So the Smallest Whole Number is $$0$$ .
Question 5
1 / -0

Which of the following statement is true?

A
Every whole number is a natural number

B
Every natural number is a whole number

C
'1' is the least whole number

D
None of these

Solution

Natural numbers set is $${1,2,3,......}$$
Whole numbers set is $${0,1,2,3,.....}$$
Clearly every natural number is a whole number.
Question 6
1 / -0

RHS part of the equation $$36(8+3) =$$ _______

A
$$38+11$$

B
$$(36 \times 8) \times (36 - 3)$$

C
$$(36 \times 8) + (36 \times 3)$$

D
$$(36 \times 8) + 3$$

Solution

Using distributive formula ,
We can write, $$a(b+c)=a\times b+a\times c$$

So,
$$36(8+3)=(36 \times 8) + (36 \times 3)$$

Hence, $$Op-C$$ is correct.
Question 7
1 / -0

Predecessor of natural number 1

A
0

B
2

C
10

D
Does not exist

Solution

$$\textbf{Step -1: Use definition of natural numbers and find range of natural number.}$$
$$\text{The numbers usually used for counting are called natural numbers.}$$
$$\text{They range from 1 to infinity.}$$
$$\text{For example - 1, 2, 3, 4, 5, ...etc.}$$
$$\text{Hence, 1 being the lowest number in natural numbers, its predecessor does not exist.}$$
$$\text{Since to find any predecessor of natural number we subtract that number with 1.}$$
$$\text{here we have to find predecessor of 1 $\Rightarrow$ 1-1 = 0 which is not a natural number.}$$

$$\textbf{Hence, predecessor of natural number 1 does not exist. (Option D)}$$
Question 8
1 / -0

The whole number which does not have a predecessor is

A
$$100$$

B
$$0$$

C
$$1$$

D
$$9$$

Solution

$$\textbf{Step 1: Check which of these numbers has a predecessor.}$$

$$\text{Whole numbers are 0, 1, 2, 3... and so on.}$$

$$\text{Predecessor of a number is the number that comes before it.}$$

$$\text{But since there is no whole number before 0,}$$

$$\text{the whole number which does not have a predecessor is 0.} $$

$$\textbf{Hence, Option B is correct.}$$
Question 9
1 / -0

Identify the number which when multiplied to the number $$82$$, gives the same number.

A
$$82$$

B
$$0$$

C
$$\cfrac {1}{82}$$

D
$$1$$

Solution

'$$1$$' is the only number which when multiplied to any number , gives the same number.
So correct answer will be option D
Question 10
1 / -0

The property satisfied by the division of whole numbers is

A
Closure property

B
Commutative property

C
Associative property

D
None of these

Solution

Division of whole numbers does not satisfy any of the properties.

i) Let the divisor be $$ 0 $$.

$$\Rightarrow \dfrac{a}{0}$$ is not defined for any whole number $$a$$

$$\Rightarrow \dfrac{a}{0}$$ is not a whole number

Therefore, whole numbers are not closed under division.

ii) Consider any 2 whole numbers, say, $$6$$ and $$3$$,

$$\dfrac{6}{3} = 2$$ $$\neq$$ $$\dfrac{3}{6} = 0.5$$

Therefore, division of whole numbers is not commutative

iii)Consider any 3 whole numbers, say, $$2, 4, 8$$.

$$\Rightarrow \dfrac{\dfrac{2}{4}}{8} = \dfrac{1}{16}$$ and $$\dfrac{2}{\dfrac{4}{8}} = 4$$, i.e

$$\Rightarrow \dfrac{\dfrac{2}{4}}{8} \neq \dfrac{2}{\dfrac{4}{8}}$$

Therefore, division of whole numbers is not associative.

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Whole Numbers Test - 10

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Whole Numbers Test - 10

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SHARING IS CARING

Question 1

Commutative property

Associative property

Closure property

Distributive property

Solution

Question 2

$$80808099$$

$$80808081$$

$$80808079$$

none

Solution

Question 3

$$0$$

$$1$$

$$2$$

None of these

Solution

Question 4

$$0$$

$$1$$

$$2$$

None of these

Solution

Question 5

Every whole number is a natural number

Every natural number is a whole number

'1' is the least whole number

None of these

Solution

Question 6

$$38+11$$

$$(36 \times 8) \times (36 - 3)$$

$$(36 \times 8) + (36 \times 3)$$

$$(36 \times 8) + 3$$

Solution

Question 7

0

2

10

Does not exist

Solution

Question 8

$$100$$

$$0$$

$$1$$

$$9$$

Solution

Question 9

$$82$$

$$0$$

$$\cfrac {1}{82}$$

$$1$$

Solution

Question 10

Closure property

Commutative property

Associative property

None of these

Solution

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