NCERT Solutions Std 6 Maths Chapter 1 Knowing Our Numbers

Knowing Our Numbers

Page 2

Try These

Can you instantly find the greatest and the smallest numbers in each row?

i). 382, 4972, 18, 59785, 750.

ii). 1473, 89423, 100, 5000, 310

iii). 1834, 75284, 111, 2333, 450

iv). 2853, 7691, 9999, 12002, 124.

Question Greatest number Smallest number
382, 4972, 18, 59785, 750. 59785 18
1473, 89423, 100, 5000, 310 89423 100
1834, 75284, 111, 2333, 450 75284 111
2853, 7691, 9999, 12002, 124. 12002 124

 

Find the greatest and smallest numbers.

a). 4536, 4892, 4370, 4452

b). 15623, 15073, 15189, 15800

c). 25286, 25245, 25270, 25210

d). 6895, 23787, 24569, 24659

 

Question Greatest number Smallest number
4536, 4892, 4370, 4452 597854892 4370
15623, 15073, 15189, 15800 15800 15073
25286, 25245, 25270, 25210 25286 25210
6895, 23787, 24569, 24659 24659 6895

 

Page 3

Try These

1). Use the given digits without repetition and make the greatest and smallest 4-digit numbers.

a). 2,8,7,4                  b). 9,7,4,1                 c). 4,7,5,0

d). 1,7,6,2                  e). 5,4,0,3

Question Greatest number Smallest number
2,8,7,4                  8742 2478
9,7,4,1                 9741 1479
4,7,5,0 7540 4057
1,7,6,2                  7621 1267
5,4,0,3 5430 3045

 

 

2). Now make the greatest and the smallest 4-digit numbers by using any one digit twice.

a). 3,8,7                b). 9,0,5                 c). 0,4,9           d). 8,5,1

Question Greatest 4-digt number Smallest 4-digit number
3,8,7 8873 3378
9,0,5                 9950 5009
0,4,9           9940 4009
8,5,1 8851 1158

 

3). Make the greatest and the smallest 4-digit numbers by using any four different digits with conditions as given.

a). Digit 7 is always at one place

b). Digit 4 is always at tens place

c). Digit 9 is always at hundred place

d). Digit 1 is always at thousands place

answers:

a). Digit 7 is always at one place – 1287

b). Digit 4 is always at tens place – 2548

c). Digit 9 is always at hundreds place – 8952

d). Digit 1 is always at thousands place – 1547

 

 

4). Take two digits, say 2 and 3. Make 4-digit numbers using both the digits an equal number of times.

The numbers are 2233, 2323, 2332, 3322, 3232, 3223

Answers

Which is the greatest number?

3322

Which is the smallest number?

2233

How many different numbers can you make in all?

We can make 6 different numbers. They are 2233, 2323, 2332, 3322, 3232, 3223

 

Page 4

Stand in Proper order.

 

1). Who is the tallest?

Ramhari

2). Who is the shortest?

Dolly

a). Can you arrange them in the increasing order of their heights?

154, 158, 159, 160

b). Can you arrange them in the descending order of their heights?

160, 159, 158, 154

 

Which is to buy?

Sohan and Rita went to buy an almirah. There were many almirahs available with their price tags.

a). Can you arrange their prices in increasing order?

Rs 1788, Rs 1897, Rs 2635, Rs 2854, Rs 3975

b). Can you arrange their prices in decreasing order?

Rs 3975, Rs 2854, Rs 2635, Rs 1897, Rs 1788

 

Page 5

Try These

1). Arrange the following numbers in ascending order:

a). 847, 9754, 8320, 571              

b). 9801, 25751, 36501, 38802

Ascending order:

a). 571, 847, 8320, 9754

b). 9801, 25751, 36501, 38802,

2). Arrange the following numbers in descending order:

a). 5000, 7500, 85400, 7861         

b). 1971, 45321, 88715, 92547

Descending order:

a). 85400, 7861, 7500, 5000

b). 92547, 88715, 45321, 1971

 

Page 6 and 7

Read and expand the numbers wherever there are blanks.

Number Number Name Expansions
20000 Twenty thousand 2 X 10000
26000 Twenty six thousand 2 X 10000+ 6 X 1000
38400 Thirty eight thousand four hundred 3 X 10000 + 8 X 1000 + 4 X 100
65740 Sixty five thousand seven hundred  forty 6 X 100000 + 5 X 1000 + 7 X 100 + 4 X 10
89324 Eighty nine thousand three hundred twenty four 8 X 10000 + 9 X 1000 + 3 X 100 + 2 X 10 + 4 X 1
50000 Fifty thousand 5 X 10000
41000 Forty one thousand 4 X 10000 + 1 X 1000
47300 Forty seven thousand three hundred 4 X 10000 + 7 X 1000 + 3 X 100
57630 Fifty seven thousand six hundred and thirty 5 X 100000 + 7 X 1000 + 6 X 100 + 3 X 10
29485 Twenty nine thousand four hundred and eighty five 2 X 10000 + 9 X 1000 + 4 X 100 + 8 X 10 + 5 X 1
29085 Twenty nine thousand and eighty five 2 X 10000 + 9 X 1000 + 8 X 10 + 5 X 1
20085 Ttwenty thousand and eighty five 2 X 10000 + 8 X 10 + 5 X 1
20005 Twenty thousand and five 2 X 10000 + 5 X 1

 

Page 7

Read and expand the numbers wherever there are blanks.

Number Number Name Expansions
3,00,000 Three lakhs 3 X 100000
3, 50,000 Three lakhs fifty thousand 3 X 10000+ 5 X 10000
3,53,000 Three lakhs fifty three thousand 3 X 10000+ 5 X 10000 + 3 X 1000
4,57,928 Four lakh fifty seven thousand nine hundred twenty eight 4 X 10000+ 5 X 10000 + 7 X 1000 + 9 X 100 + 2 X 10 + 8 X 1
4,07,928 Four lakh seven thousand nine hundred twenty eight 4 X 10000 + 7 X 1000 + 9 X 100 + 2 X 10 + 8 X 1
4,00,829 Four lakh eight hundred twenty nine 4 X 10000 + 8 X 100 + 2 X 10 + 9 X 1
4,000,29 Four lakh twenty nine 4 X 10000+ 2 X 10 + 9 X 1

 

Page 8

Try These

1). What is 10 – 1 = 9

2). What is 100 – 1 = 99

3). What is 10,000 – 1 = 9999

4). What is 1,00,000 – 1 = 99999

5). What is 1,00,00,000 – 1 = 9999999

Try These

1). Give five examples where the number of things counted would be more than a 6-digit number.

2). Starting from the greatest 6-digit number, write the previous five numbers in descending order.

The greatest 6-digit number is 999999

The previous five numbers in descending order are – 999998, 999997, 999996, 999995, 999994

3). Starting from the smallest 8-digit number, write the next five numbers in ascending order and read them.

The smallest 8-digit number is 10000000

  The next five numbers in ascending order are – 10000001, 10000002, 10000003, 10000004, 10000005.

Page 11

1). Read these numbers. Write them using placement boxes and then write their expanded forms.

i). 475320                                   ii). 9847215

iii). 97645310                              iv). 30458094

Answers:

i). 475320 – four lakh seventy-five thousand three hundred twenty

L T Th Th H T O
4 7 5 3 2 0

 

Expanded form

4 X 100000 + 7 X 10000 + 5 X 1000 + 3 X 100 + 2 X 10

ii). 9847215 – Ninety eight lakh forty seven thousand two hundred fifteen      

T L L T Th Th H T O
9 8 4 7 2 1 5

Expanded form

9 X 1000000 + 8 X 100000 + 4 X 10000 + 7 X 1000 + 2 X 100 + 1 X 10 + 5 X 1

iii). 97645310  – nine crore seventy six lakh forty five thousand three hundred ten            

C T L L T Th Th H T O
9 7 6 4 5 3 1 0

Expanded form

9 X 10000000 + 7 X 1000000 +  6 X 100000 + 4 X 10000 + 5 X 1000 + 3 X 100 + 1 X 10

 iv). 30458094 – Three crore four lakh fifty eight thousand ninety four            

C T L L T Th Th H T O
3 0 4 5 8 0 9 4

Expanded form-

3 X 10000000 + 0 X 1000000 +  4 X 100000 + 5 X 10000 + 8 X 1000 + 0 X 100 + 9 X 10 + 4 X 1

a). Which is the smallest number?

475320  

b). Which is the greatest number?

97645310 

c). Arrange these numbers in ascending and descending order.

Ascending order: 475320, 9847215, 30458094, 97645310

Descending order: 97645310, 30458094, 9847215, 475320

2). Read these numbers.

i). 527864                                   ii). 95432

iii). 18950049                              iv). 70002509

Answers:

i). 527864 –

Five lakh twenty-seven thousand eight hundred sixty-four            ii). 95432

ninety-five thousand four hundred thirty-two

iii). 18950049

One crore eighty-nine lakhs fifty thousand forty-nine                           

iv). 70002509

Seven crore two thousand five hundred nine.

a). Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration.

 i). 527864        

L T Th Th H T O
5 2 7 8 6 4

Indian System: 5,27,894

International System of Numeration: 527,894

 

 

 ii). 95432        

T Th Th H T O
9 5 4 3 2

Indian System: 95,432

International System of Numeration: 95,432

iii). 18950049        

C T L L T Th Th H T O
1 8 9 5 0 0 4 9

Indian System: 1,89,50,049

International System of Numeration: 18,950,049

iv). 70002509

C T L L T Th Th H T O
7 0 0 0 2 5 0 9

Indian System: 7,00,02,509

International System of Numeration: 70,002,509

b). Arange these numbers in ascending and descending order.

 527864, 95432, 18950049, 70002509

 

Ascending order: 95432, 527864, 18950049, 70002509

Descending order: 70002509, 18950049, 527864 95432

 

Try These

1). You have the following digits 4,5,6,0,7 and 8. Using them make five numbers each with 6-digits.

a). Put commas for easy reading

b). Arrange them in ascending and descending order

2). Take the digits 4,5,6,7,8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading.

3). From the digits 3,0 and 4 make five numbers each with 6-digits. Use commas.

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