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Formation of large numbers - class-V

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Place value of a digit decreases by _____ times as it moves place by place from left to right.

  1. $100$

  2. $\dfrac {1}{10}$

  3. $10$

  4. $1000$


Correct Option: B
Explanation:

chart of place value
thous hund  tens  ones
1        0         0      0

Hundred is $\dfrac{1}{10}$ less than thousand
Similarly, tens is $\dfrac{1}{10}$ less than hundred
So, the required answer is $\dfrac{1}{10}$

In 24,673 

The place value of 6 is

  1. 700

  2. 600

  3. 10

  4. 100


Correct Option: B
Explanation:

The place value of 6 here is 600.

1 lakh = ............... thousand

  1. $1000$

  2. $100$

  3. $10$

  4. $10000$


Correct Option: B
Explanation:

1 lakh $ = 100 $ thousand

Since $ 1,00,000 = 100 \times 1,000 $

Commas are inserted in a number after each

  1. place

  2. digit

  3. period

  4. none of these


Correct Option: C
Explanation:

Commas are inserted in a number after each period.
Option C is correct.

Numeral for sixteen crore four lakh fifty thousand three hundred ten is

  1. $1,64,50,310$

  2. $16,04,50,310$

  3. $16,40,05,310$

  4. $1,60,04,510$


Correct Option: B
Explanation:

Numeral for sixteen crore four lakh fifty thousand three hundred ten is 16,04,50,310
Option B is correct.

What is the place value of '7' in the number $710, 621, 684$?

  1. $700,000,000$

  2. $7$ millions

  3. $7$ tens

  4. $7$


Correct Option: A
Explanation:

Place value determines the value of a digit in a number, based on the location of the digit.
$\therefore $ place value of '7' in the number $710, 621, 684 = 700,000,000$

So, option A is correct.

Numeral for twenty lakhs twenty thousand two hundred and twenty

  1. 2,22,20,220

  2. 22,22,222

  3. 20,01,320

  4. 20,20,220


Correct Option: D
Explanation:
 Ten Lakhs  Lakhs Ten thousand  Thousands  Hundreds  Tens  Units 
 2
$\therefore$  Twenty lakhs twenty thousand two hundred and twenty $=20,20,220$

Numeral for seventy crore one thousand is

  1. $7,01,000$

  2. $7,00,01,000$

  3. $70,00,01,000$

  4. $70,01,000$


Correct Option: C
Explanation:

TC   C   TL  L  TTH  TH  H  T  U

 7     0    0   0      0    1    0  0  0

Choose the correct statement

  1. $8,58,68,788 > 8,58,78,688 > 8,58,88,687$

  2. $8,58,78,688 > 8,58,68,788 > 8,58,88,687$

  3. $8,58,68,788 > 8,58,88,687 > 8,58,78,688$

  4. $8,58,88,687 > 8,58,78,688 > 8,58,68,788$


Correct Option: D
Explanation:

As $ 8000>7000>6000$
$8,58,88,687 > 8,58,78,688 > 8,58,68,788$

Number of places in ones period is

  1. $2$

  2. $3$

  3. $4$

  4. $1$


Correct Option: B
Explanation:

(B) Ones, tens, hundreds places are in the ones period.

Place value of a digit decreases by ___________ times as it moves place by place from left to right.

  1. $10$

  2. $\displaystyle \frac{1}{100}$

  3. $100$

  4. $1$


Correct Option: A
Explanation:
Place value for hundreds place = 100
Place value for tens place  = 10
Place value for once place = 1
Place value of a digit decreases by 10 times as it moves place by place from left to right.

Ten millions comes under ________ period.

  1. crores

  2. lakhs

  3. thousands

  4. millions


Correct Option: D
Explanation:

(D) Millions, Ten millions and hundred millions comes under millions period.

The place which comes on immediate right to one million place in value chart is

  1. ten crores

  2. hundred thousands

  3. ten lakhs

  4. hundreds


Correct Option: B
Explanation:

(B) M  HTh   Th  Th

Place value of $3$ in $31005660$ is

  1. $3$ crores

  2. $30$ lakhs

  3. $3$

  4. None of the above


Correct Option: A
Explanation:
 Crores  Ten lakhs  Lakhs  Ten thousands  Thousands  Hundreds   Tens  Units
 3  1  0  0  5  6  0

$\therefore$   Place value of $3$ in $31005660$ is $3\,crores$.

$73,52,39,621$ has ____________ crores.

  1. $73$

  2. $52$

  3. $39$

  4. $5$


Correct Option: A
Explanation:

73 crores..

Place value of $6$ in $43,34,96,258$, is ___________.

  1. $6000$

  2. $60000$

  3. $600000$

  4. $6000000$


Correct Option: A
Explanation:

As 6 is in thousands place , its place value is 6000

In the product of 200 and 25, which digit is in the hundred's place ?

  1. $0$

  2. $5$

  3. $10$

  4. None of these


Correct Option: A
Explanation:

$200*25=5000$

correct option is A..

Place value of $0$ in $3402894$

  1. $0$

  2. ten thousands

  3. thousands

  4. $20,000$


Correct Option: A
Explanation:

The place value of zero (0) is always 0. It may hold any place in a number, it's value is always 0. As, in 105, 350, 42017, 90218 the place value of 0 in each number is 0. Likewise, the place value of 0 in 3402894 is 0.

So option A is the correct answer.

Place value and face value of a number is always equal at __________.

  1. One's Place

  2. Ten's place

  3. Hundred's Place

  4. None of these


Correct Option: A
Explanation:

correct option is A..

Place value of a digit increases by _________ times as it moves place by place from right to left.

  1. $1000$

  2. $\displaystyle \frac{1}{10}$

  3. $10$

  4. $100$


Correct Option: C
Explanation:

A place value chart can help us in finding and comparing the place value of the digits in numbers through millions. 


The place value of digit increases by ten times as we move left on the place value chart and decrease by ten times as we move right.

So option C is the correct answer.

Place value of a digit decreases by _______ times as it moves place by place from left to right

  1. 10

  2. $\displaystyle \frac{1}{10}$

  3. 100

  4. 1


Correct Option: B
Explanation:

From left to right  the place value of the number decreases by 1/10.

So option B is the correct answer.

The place which comes on immediate right of the hundreds place in the place value chart is

  1. thousands

  2. tens

  3. ones

  4. ten thousands


Correct Option: B
Explanation:

A place value chart helps us to recognize large numbers. 

We read the place value chart from left to right. 

In the Indian system, we start grouping the number from right in the group of 3 and further in group of 2. 

The place that comes on the immediate right of the hundreds place is the tens place then one's place.

So option B is the correct answer.

Place of $3$ in given amount is $30,25,69,214$

  1. ten crores

  2. millions

  3. $3,00,00,000$

  4. $30,00,00,000$


Correct Option: A
Explanation:

Place of 3 in 30,25,69,214 is ten crores

The number of zeroes that come after 1 for 10 crores is

  1. 6

  2. 7

  3. 8

  4. 9


Correct Option: C
Explanation:

1 crores=10,00,000
10 crores = 10,00,00,000

Which of the following statements is INCORRECT?

  1. The place value of the digit $3$ in the number $543765$ is $3000$

  2. The place value of the digit $6$ in the number $6734581$ is predecessor of $5999999$

  3. In the number $1876523$, the place value of the digit $1$ is $1000000$

  4. The place value of the digit $5$ in the number $7658321$ is successor of $49999$


Correct Option: B
Explanation:

(a) Place value of $3$ in number $27543765$ is $3000$
(b) Place value of $6$ in number $6734591$ is $6000000$ which is predecessor of $6000001$
(c) In the number $1876523$, place value of $1$ is $1000000$
(d) Place value of $5$ in $7658321$ is $50000$ which is successor of $49999$.

Hence the option B is incorrect.

Identify the place value for the underlined digit of the number below. 

$8,52\underline 3,615$

  1. Millions

  2. Thousands

  3. Hundreds

  4. Tens


Correct Option: B
Explanation:

Mlns     hth tthous thous     hund tens ones
8            5    2        3             6       1       5

So, the place value of 3 is thousands

In a two digit number, the digit at unit place is $x$ at the digit at tens place is $5$, then the new number obtained by interchanging the digits of that number is

  1. $50x+5$

  2. $10x+5$

  3. $x+50$

  4. $5x+4$


Correct Option: B
Explanation:

The digit in units place is $x$


The digit in tens place is $5$

So the number is $50+x$

If the number is reversed,

The units digit is $5$

The tens digit is $x$

So the number is $10x+5$

If y is an implicit function of x defined by ${ x }^{ 2x }-{ 2x }^{ x }coty-1=0.$ Then, $y' (1)$ is equal to

  1. $-1$

  2. $1$

  3. $\log 2$

  4. $-\log 2$


Correct Option: A
Explanation:

${ x }^{ 2x }-{ 2x }^{ x }coty-1=0.$ ...............[1]


At $x=1$; we have


$1-\cot y-1=0$

$\implies y=\dfrac{\pi}{2}$

Differentiating w.r.t $x$, we get:

$2x^{2x}(1+\ln x)-2[x^x(-cosec^2y\dfrac{dy}{dx}+\cot yx^x(1+\ln x))]=0$

At $P(1,\dfrac{\pi}{2})$, we have

$2(1+\ln 1)-2[1(-1)\dfrac{dy}{dx}| _P+0]=0$

$\implies 2+2\dfrac{dy}{dx}| _P=0$

$\implies \dfrac{dy}{dx}| _P=-1$

Hence, $y'(1)=-1$

Place value of a digit becomes ........... times as it moves place by place from left to right

  1. $10$

  2. $\dfrac {1}{10}$

  3. $100$

  4. $1$


Correct Option: B
Explanation:

As we know the number system value increases by $10$times as we from right to left.

Crore, Ten lakhs,  Lakhs, Ten thousand, Thousand, Hundred, Ten, ones
Since the value from right to left is increasing by $10$times
So that we go from left to right it will decrease by $\dfrac{1}{10}$times.

If the digit $1$ is placed after a two digit number whose ten's digit is $t$ and unit's digit is $u$, then the new number is: 

  1. $\displaystyle 10t+u+1$

  2. $\displaystyle 100t+10u+1$

  3. $\displaystyle 1000t+10u+1$

  4. $\displaystyle t+u+1$


Correct Option: B
Explanation:

Given, ten's place digit $= t$ and one's place digit $= u$
Two digit number $= 10\times$ten's place digit+one's place digit
                             $= 10t+u = tu$

If the digit 1 is placed after a two digit number, the new number is $tu1$, 
which now becomes a three digit number. 

The hundreds place digit $= t$, ten's place digit $= u$ and one's place digit $= 1$

$\therefore$ Number $=100\times$hundred's place digit + $10\times$ten's place digit + one's place digit
                   $=100t+10u+1$

So, Option B is correct.

Place value and face value are always equal for

  1. $0$

  2. $1$

  3. any digit

  4. $10$


Correct Option: A
Explanation:

Place value of a digit depends on the place of the digit in the number, while the face value is same as the digit itself. 

Hence, place value and face value are always equal for the digit $0$,
as place value of $0$ is always $0$, irrespective of its position in the number.
So, option A is correct. 

Face value of $4$ in $408,356,112$ is

  1. $400$ million

  2. $4$

  3. hundred million

  4. $0$


Correct Option: B
Explanation:

Face value of a digit is the digit itself.
So, Face value of $ 4 $ in $ 408, 356, 112 $ is $ 4 $.

If the digit $1$ is placed after a two digit number whose tens digit is $'t' $and units digit is $'u',$  the new number is:

  1. $l0t + u + 1$

  2. $100t + 10u + 1$

  3. $t + u + 1$

  4. None of these


Correct Option: B
Explanation:

Placing 1 after two digit number is the indication that,

shift the given digit towards left, so that $t$ is now hundred's digit and $u$ is now tens digit so the value becomes $100t+10u+1$
So $100t+10u+1$ is correct answer

Ten lakhs comes under ______ period

  1. crores

  2. lakhs

  3. thousands

  4. millions


Correct Option: B
Explanation:

Ten lakhs & lakhs places are in
the lakhs period

$10$ million $=$ _______ crore

  1. $10$

  2. $1$

  3. $5$

  4. $100$


Correct Option: B
Explanation:

As we know that $10$ lakh $= 1$ million.

So, $10$ million $= 10 \times 10 $ lakh which is equal to $1$ crore.
Hence, the answer is $1$.

Places according to Indian number system are:

  1. ones and tens

  2. ones, tens and hundreds

  3. ones, tens and thousands

  4. ones, thousands, hundreads and thousands


Correct Option: B
Explanation:

According to the indian number system the places of the number is 

ones,tens and hundereds.
so option A is the correct answer.

$1$ lakh $=$ __________ thousand

  1. $1000$

  2. $100$

  3. $10$

  4. $10000$


Correct Option: B
Explanation:

$1$ lakh $1,00,000= 100$ thousand. 

Hence, the answer is $100$.

Place value of $8$ in $86,93,04,600$ is:

  1. eight crores

  2. eighty crores

  3. crores

  4. eighty six crores


Correct Option: B
Explanation:
The given number is $86,93,04,600$
By using Indian number system, the value of $8$ is $80$ crores.
Hence, the answer is eighty crores.

Place value of $3$ in $712,364,962$ is:

  1. hundred thousand

  2. $300$ thousand

  3. $3$ million

  4. $3$


Correct Option: B
Explanation:

By using Indian number system, the value of $3$ is $3$ lakhs which can be also written as $300$ thousand. 

Hence, the answer is $300$ thousand.

Difference between the place values of 3 and 7 in $6,380,942$ and $5,107,289$ is ____

  1. $29,300$

  2. $273,000$

  3. $27,300$

  4. $293,000$


Correct Option: D
Explanation:

Place value of 3 is 3,00,000
Place value of 7 is $\displaystyle \frac{-7,000}{2,93,000}$

$2$ tens $6$ thousandths is:

  1. $20.6$

  2. $20.06$

  3. $210.6000$

  4. $20.006$


Correct Option: D
Explanation:

$2$ tens means 20

$6$ thousandths is 6th part of $1000$
So the total value is $20.006$

Hence, the answer is $20.006$.

Place value of a digit increases by _______ times as the digit moves from the right to the left by one place.

  1. $100$

  2. $1$

  3. $10$

  4. None


Correct Option: C
Explanation:

Place value of a digit increases by $10$ times as the digit moves from the right to the left place by one place.

Hence, the answer is $10$.

Three-sevenths = ____

  1. $ \displaystyle \frac{3}{17} $

  2. $ \displaystyle \frac{13}{7} $

  3. $ \displaystyle \frac{3}{7} $

  4. one


Correct Option: C
Explanation:

Three seventh means the 3rd part of the total seven parts

Which is equal to $\dfrac{3}{7}$
Hence, the answer is $\dfrac{3}{7}$.

Place value chart is extended on ________ side to provide place for fractions

  1. right

  2. left

  3. no

  4. none


Correct Option: A
Explanation:

Place value chart is extended on the $right$ side to provide place for fractions.

Hence, the answer is right.

$\displaystyle \frac{5}{11}$ is expressed in words as

  1. five by elevan

  2. five elevenths

  3. five minus elevan

  4. five eleven


Correct Option: B
Explanation:

The fractional part of $\dfrac{5}{11}$ can be expressed in words as

fifth part of eleven or five eleventh.

Unit's digit of the number ${36^{1001}} \times$ ${7^{1002}} \times$${13^{1003}}$ is 

  1. $1$

  2. $3$

  3. $7$

  4. $8$


Correct Option: D
Explanation:

Unit's digit of $36^{1001}$ will be $6$

$7^{1002}=(7^2)^{501}=(49^4)^{125}\times 49$
Unit's digit of $(49^4)$ is $1$. So, unit's digit of $(49^4)^{125}$ will be $1$ and thus, unit's digit of $7^{1002}$ will be $9$.
$13^{1003}=(13^2)^{501}\times 13=(169^4)^{125}\times 169\times 13$
Unit's digit of $169^4$ is $1$. So, unit's digit of $13^{1003}$ will be $7$.
Hence, unit's digit of $36^{1001}\times 7^{1002}\times 13^{1003}$ will be $8$.

$190216536$ is written with commas in Indian Number System as:

  1. $190,216,536$

  2. $1,9,0,2,1,6,5,3,6$

  3. $19,02,16,536$

  4. $1902,1,65,36$


Correct Option: C
Explanation:

By Indian Number System, the number $190216536$ can be written as

$19,02,16,536$. 
Hence, the answer is $19,02,16,536$.

The least two digit composite number is

  1. $11$

  2. $12$

  3. $10$

  4. $16$


Correct Option: C
Explanation:
We know that-If a number has more than $2$ factors then it is a composite number.
$11$ is a prime number $\because$ it has only $2$ factors
$12$ is a composite number $\because$ it has more than $2$ factors
$10$ is a composite number $\because$ it has more than $2$ factors
$16$ is a composite number $\because$ it has more than $2$ factors
$\therefore\,10,12,16$ are composite numbers.
The least composite number is $10$
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