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Introduction to large numbers - class-VI

Description: introduction to large numbers
Number of Questions: 20
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Tags: numbers in indian and international systems maths know the numbers numbers and place value large numbers knowing our numbers number work whole numbers and operations with whole numbers place value concepts of seven and eight digit numbers numbers bigger numbers
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The number of zeroes that comes after $1$ for $10$ millions are

maths number work indian place value chart place value of digit largest and smallest numbers writing and expanding numbers

  1. $8$

  2. $7$

  3. $6$

  4. $9$

Show answer
Correct Option: B
Explanation:

Million $=1,000,000$ ($6$ zeros)
$10$   million $=10,000,000$
Hence the number of zeros after $1$ in $10$ million is $7.$

Match the following.

Column I Column II 
(i). 100 crores (P) 1 thousand
(ii) 10 lakhs (Q) 1 lakh
(iii) 100 thousands (R) 1 billion
(iv) 100 tens (S) 1 million
maths number work indian place value chart place value of digit largest and smallest numbers writing and expanding numbers

  1. (i)>(P), (ii) > (Q), (iii) > (S), (iv) > (R)

  2. (i)>(R), (ii) > (S), (iii) > (P), (iv) > (Q)

  3. (i)>(R), (ii) > (S), (iii) > (Q), (iv) > (P)

  4. (i)>(P), (ii) > (S), (iii) > (Q), (iv) > (R)

Show answer
Correct Option: C
Explanation:

(i) $100$ crores $= 1,000,000,000 = 1$ billion (R)

(ii) $10$ lakhs $= 1,000,000 =  1$ million (S)
(iii) $100$ thousands $= 1,00,000 = 1$ lakh (Q)
(iv) $100$ tens $= 1,000 = 1$ thousand (P)

A train overtakes two persons who are walking in the same direction in which the train is going at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

maths number work indian place value chart place value of digit largest and smallest numbers writing and expanding numbers

  1. 20 m

  2. 30 m

  3. 40 m

  4. 50 m

Show answer
Correct Option: D
Explanation:
Let the length of the train be x metres and speed  be y $m/s$

Speed of the first person$=2kmph$

                                          $=2\times\dfrac{5}{18}$

                                            $=\dfrac{5}{9}m/s$

Speed of the second train $=4kmph$

                                              $=4\times\dfrac{5}{18}$

                                               $=\dfrac{10}{9}m/s$

$\dfrac{x}{y-\dfrac{5}{9}}=9$

$9y-5=x$   
                                       
$90y-50=10x$...........................................(1)

                                            
$\dfrac{x}{y-\dfrac{10}{9}}=10$

$90y-100=9x$...........................................(2)

Substracting $1$ and $2$

$90y-50-90y+100=10x-9x$

$x=50$

So, the length of the train$=50m$



Express in Indian system of numeration.
Three million four hundred thirty five thousand two hundred twenty five.

maths number work indian place value chart place value of digit largest and smallest numbers writing and expanding numbers

  1. $345,225$

  2. $34,352,25$

  3. $3,43,52,25$

  4. $34,35,225$

Show answer
Correct Option: D
Explanation:

Let us convert the given number in words into numerals as follows:


Three million$=30,00,000$
Four hundred thirty five thousand$=435,000$
Two hunderd$=200$
Twenty$=20$
Five$=5$

Now, add the numerals as shown below:

$3000000+435000+200+20+5=34,35,225$

Therefore, the required number is $34,35,225$.

Hence, the Indian system of numeration is $34,35,225$.

Express in Indian number system:
$35,987,123$

maths number work indian place value chart place value of digit largest and smallest numbers writing and expanding numbers

  1. $35,987,123$

  2. $3,59,87,123$

  3. $3,987,123$

  4. $3,59,8,71,23$

Show answer
Correct Option: B
Explanation:
Let us convert the given numerals into words as follows:

$3,00,00,000=$Three crores
$59,00,000=$Fifty nine lakh
$87,000=$Eighty seven thousand
$100=$One hundred
$20=$Twenty
$3=$Three

Therefore, the number can be written in words as Three crores fifty nine lakh eighty seven thousand one hundred and twenty three.

Now, add the above numerals as shown below:

$3,00,00,000+59,00,000+87,000+100+20+3=3,59,87,123$ 
where $3$ is at one's place, $2$ is at tens place, $1$ is at hundredth place, $7$ is at thousandth place and so on. 

Hence, the Indian number system is $3,59,87,123$.

Express in Indian number system.
$4,456,765$

maths number work indian place value chart place value of digit largest and smallest numbers writing and expanding numbers

  1. Four crore forty five lakh seven hundred sixty five,

  2. Forty four lakh fifty six thousand seven hundred sixty five,

  3. Forty four crore forty five lakh seven hundred sixty five,

  4. Forty five lakh seven hundred sixty five,

Show answer
Correct Option: B
Explanation:
Let us convert the given numerals into words as follows:

$44,00,000=$Forty four lakh
$56,000=$Fifty six thousand
$700=$Seven hundred
$60=$Sixty
$5=$Five

Now, combine the numbers in words as shown below:

Fourty four lakh fifty six thousand seven hundred sixty five.

Hence, the Indian number system is fourty four lakh fifty six thousand seven hundred sixty five.

Number name for 83,07,80,120 is

maths number work indian place value chart place value of digit largest and smallest numbers

  1. eighty three crore seven thousand eighty lakh one hundred twenty

  2. eighty three crore seven lakh eighty thousand one hundred twenty

  3. eighty three crore crore seventy thousand eighty lakh one twenty

  4. none

Show answer
Correct Option: B
Explanation:

$83,07,80,120 = 83x1,00,00,000 + 07x1,00,000 +80x1,000 + 120$

So this will equal to Eighty three crore seven lakh eighty thousand one hundred twenty
So correct answer will be option B

Write in numerals:
Ninety thousand nine hundred nine.

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $90,0009$

  2. $90,879$

  3. $90,909$

  4. $90,000$

Show answer
Correct Option: C
Explanation:

Ninety thousand nine hundred nine

This written in numerals gives $90,909$ 

$9$ is at ten thousand's place, $0$ at thousand's place, $9$ at hundred's place and so on.

Write in numerals:
 Ten lakh ninety thousand nine hundred nine.

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $10,09,099$

  2. $10,90,909$

  3. $10,909$

  4. $10,09,909$

Show answer
Correct Option: B
Explanation:

Ten lakh ninety thousand nine hundred nine


In numerals it can be written as,
$10,90,909$

Read the number:
$76,987$

maths number work indian place value chart place value of digit largest and smallest numbers

  1. Seventy six thousand nine eighty seven.

  2. Seventy seven thousand nine eighty seven.

  3. Seventy six thousand nine hundred eighty seven.

  4. Seventy six thousand ninety eight hundred seven.

Show answer
Correct Option: C
Explanation:

$76,987$ reads as Seventy six thousand nine hundred eighty seven.


$7$ is at ten thousand's place, $6$ at thousand's place, $9$ at hundred's place and so on.

Read the number:
$7,88,789$

maths number work indian place value chart place value of digit largest and smallest numbers

  1. Seventy eight thousand eight hundred seven eighty nine.

  2. Seventy eight thousand eight hundred eighty nine.

  3. Seven lakh eighty eight thousand seven hundred eighty nine.

  4. Seven lakh eight hundred and eighty seven thousand eighty nine.

Show answer
Correct Option: C
Explanation:

$7$ is at lakh's place followed by $8$ at ten thousand's place, $8$ at thousand's place, $7$ at hundred's place, $8$ at ten's place and $9$ at one's place.


So $7,88,789$ is read as Seven lakh eighty eight thousand seven hundred eighty nine.

Read the number:
$88,789$

maths number work indian place value chart place value of digit largest and smallest numbers

  1. Eight thousand eight hundred seven eighty nine.

  2. Eighty eight thousand seven hundred eighty nine.

  3. Eighty eight thousand eight hundred eighty nine.

  4. Eighty eight thousand seven hundred ninety eight.

Show answer
Correct Option: B
Explanation:

$88,789$ reads as Eighty eight thousand seven hundred eighty nine


$8$ is at ten thousand's place, $8$ at thousand's place, $7$ at hundred's place and so on.

The difference between ($4$ tens $12$ tenths and $25$ hundredths) and ($3$ tens $14$ tenths and $45$ thousandths) is __.

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $10.05$

  2. $10.005$

  3. $10.5$

  4. $15.005$

Show answer
Correct Option: B
Explanation:

$4$ tens $12$ tenths and $25$ hundredths
$= 4\times 10 + \dfrac {12}{10} + \dfrac {25}{100} = 40 + 1.2 + 0.25 = 41.45$
$3$ tens $14$ tenths and $45$ thousandths
$= 3\times 10 + \dfrac {14}{10} + \dfrac {45}{1000}$
$= 30 + 1.4 + 0.045 = 31.445$
Required difference
$= 41.45 - 31.445 = 10.005$.

If number read " Ten thousand eight hundred six." Find missing digit.
$1\ \ _,806$

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $1$

  2. $10$

  3. $2$

  4. $0$

Show answer
Correct Option: D
Explanation:

Number reads Ten thousand eight hundred six.

$1$ is at ten thousand's place, $0$ at thousand's place, $8$ at hundred's place, $0$ at ten's place and $6$ at one's place.

This written in numeral is $10,806$

Missing digit is $0$ in thousands place

Number name for $90,08,00,700$ is:

maths number work indian place value chart place value of digit largest and smallest numbers

  1. ninety crore eight lakhs and seven hundred

  2. nine crore eight lakhs and seven hundred

  3. nine crore eighty lakhs and seven hundred

  4. ninety crore eighty lakhs and seven hundred

Show answer
Correct Option: A
Explanation:

90,08,00,700 = 90x1,00,00,000 + 08x1,00,000 + 700

Number name will be ninety crore eight lakh seven hundred.
So the correct answer will be option A.

Numeral for seventy crore one thousand is

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $7,01,000$

  2. $7,00,01,000$

  3. $70,00,01,000$

  4. $70,01,000$

Show answer
Correct Option: C
Explanation:

$70x1,00,00,000 + 1x1,000 = 70,00,01,000$

So correct answer will be option C

If number reads "Forty five lakh sixty one thousand two hundred thirty four"
the sum of digits in the number is

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $45$

  2. $25$

  3. $15$

  4. $65$

Show answer
Correct Option: B
Explanation:

Let us convert the given number in words into numerals as follows:


Forty five lakh$=45,00,000$
Sixty one thousand$=61,000$
Two hunderd$=200$
Thirty$=30$
Four$=4$

Now, add the numerals as shown below:

$4500000+61000+200+30+4=4561234$

Therefore, the required number is $45,61,234$.

Now let us find the sum of the digits of the number $45,61,234$:

$4+5+6+1+2+3+4=25$

Hence, the sum of the digits is $25$.

If number reads "Eleven lakh seventy thousand six hundred seven" Find missing digits.
$11,70,\ _07$

maths number work indian place value chart place value of digit largest and smallest numbers

  1. $3$

  2. $6$

  3. $2$

  4. $5$

Show answer
Correct Option: B
Explanation:

Let us convert the given number in words into numerals as follows:


Eleven lakh$=11,00,000$
Seventy thousand$=70,000$
Six hunderd$=600$
Seven$=7$

Now, add the numerals as shown below:

$1100000+70000+600+7=1170607$

Therefore, the required number is $11,70,607$.

Hence, the missing digit in $11,70,07$ is $6$.

Read the number:
$9,76,987$

maths number work indian place value chart place value of digit largest and smallest numbers

  1. Ninty lakh seventy six thousand nine hundred eighty seven.

  2. Nine lakh seventy six thousand nine hundred seventy eight.

  3. Nine lakh eighty six thousand nine hundred eighty seven.

  4. None of these

Show answer
Correct Option: A
Explanation:

$9,76,987$

 This number has $9$ at lakh's place, $7$ at ten thousand's place, and so on, and is read as

Nine lakh seventy six thousand nine hundred eighty seven

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

maths number work indian place value chart place value of digit largest and smallest numbers

  1. 16450310

  2. 160450310

  3. 164005310

  4. 16004510

Show answer
Correct Option: B
Explanation:

Numerical value will be

16x1,00,00,000+04x1,00,000+50x1,000+310=160450310
So correct answer will be option B

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