Teachers Eligibility Test - Paper 2
Class – VI Mathematics
NUMBER SYSTEM
Successor:
When 1 is added to a number we get its
Successor.
E.g.:
The
Successor of 2453 is ------------.
Answer:
2454
Predecessor:
When 1 is subtracted from a number we get its
Predecessor.
E.g.:
The
Predecessor of 7469 is ------------.
Answer:
7468
Formation of large numbers:
|
Greatest number |
Add |
Equals |
Smallest number |
Number Name |
|
Greatest
1 digit number 9 |
+
1 |
= |
Smallest
2 digit number 10 |
Ten |
|
Greatest
2 digit number 99 |
+
1 |
= |
Smallest
3 digit number 100 |
Hundred |
|
Greatest
3 digit number 999
|
+
1 |
= |
Smallest
4 digit number |
Thousand |
|
Greatest
4 digit number |
+
1 |
= |
Smallest
5 digit number 10000 |
Ten
Thousand |
|
Greatest
5 digit number |
+
1 |
= |
Smallest
6 digit number |
Lakh |
|
Greatest
6 digit number |
+
1 |
= |
Smallest
7 digit number |
Ten
Lakh |
|
Greatest
7 digit number 9999999
|
+
1 |
= |
Smallest
8 digit number 10000000 |
Crore |
Place value chart:
|
TC |
C |
TL |
L |
T Th |
Th |
H |
T |
O |
|
Ten
Crores |
Crores |
Ten
Lakh |
Lakhs |
Ten
Thousands |
Thousands |
Hundreds |
Tens |
Ones |
Try to read the
number 359468421. Is it difficult? Yes. It is not easy. But by using the
indicators or the periods, it is easy to read and write 359468421 as under.
|
Periods |
Crores |
Lakhs |
Thousands |
Ones |
|||||
|
Place Value |
TC |
C |
TL |
L |
TTh |
Th |
H |
T |
O |
|
Number |
3 |
5 |
9 |
4 |
6 |
8 |
4 |
2 |
1 |
|
Number Name |
Thirty five crore ninety
four lakh sixty eight thousand four hundred twenty one. |
||||||||
Example: 1
How many thousands are there in 1
lakh?
Solution:
|
Place value |
L |
T Th |
Th |
H |
T |
O |
|
1 Lakh |
1 |
0 |
0 |
0 |
0 |
0 |
|
1 Thousand |
|
|
1 |
0 |
0 |
0 |
Lakh is 2 places
to the left of thousand.
So, it is 10 ×
10 = 100 times thousand.
Hence, 1 lakh = 100
thousand.
Example: 2
Read and expand
the number 50000
Number: 50,000
Expanded form: 5
× 10000
Read as : Fifty Thousand
Example: 3
Read and expand
the number 676097
Number : 676097
Expanded form: 6
× 100000 + 7 × 10000 + 6 × 1000 + 0 × 100 + 9 × 10 + 7 × 1
Read as : Six Lakh Seventy Six Thousand
Ninety Seven
Place Value of digits in Large Numbers:
Every digit of a
number has a place value which gives the value of the digit.
Finding the
place value of all the digits in 9847056
v The Place value
of 6 is 6 × 1 = 6 (Six)
v The Place value
of 5 is 5 × 10 = 50 (Fifty)
v The Place value
of 0 is 0 × 100 = 0 (Zero)
v The Place value
of 7 is 7 × 1000 = 7000 (Seven Thousand)
v The
Place value of 4 is 4 × 10000 = 40000 (Forty Thousand)
v The Place value
of 8 is 8 × 100000 = 800000 (Eight Lakh)
v The Place value
of 9 is 9 × 1000000 = 9000000 (Ninety Lakh)
Hence, the number 9847056
is read as Ninety Eight Lakh Forty Seven Thousand Fifty Six.
Use of commas and Comparison of Number Systems
v In our Indian
System of Numeration, we use commas from the right. The first comma comes
before Hundreds place (3 digits from the right). The second comma comes before
Ten Thousands place (5 digits from the right). The third comma comes before Ten
Lakh place (7 digits from the right) and represents Crore.
v In the
International System of Numeration, we use Ones, Tens, Hundreds, Thousands, Ten
Thousands, Hundred Thousands, Millions and Billions. Commas are used to mark
Thousands, Millions and Billions.
v We
can easily understand both the Indian and the International Number Systems from
the following table.
|
Indian Number System |
International Number System |
||||||
|
Period |
Name |
Numeral |
Name |
Numeral |
Period |
||
|
Ones |
One |
1 |
One |
1 |
Ones |
||
|
Ten |
10 |
Ten |
10 |
Ones |
|||
|
Hundred |
100 |
Hundred |
100 |
||||
|
Thousands |
Thousand |
1,000 |
Thousand |
1,000 |
Thousands |
||
|
Ten thousand |
10,000 |
Ten thousand |
10,000 |
||||
|
Lakhs |
Lakh |
1,00,000 |
Hundred thousand |
100,000 |
|||
|
Ten Lakh |
10,00,000 |
Million |
1,000,000 |
Millions |
|||
|
Crores |
Crore |
1,00,00,000 |
Ten Million |
10,000,000 |
|||
|
Ten crore |
10,00,00,000 |
Hundred Million |
100,000,000 |
||||
|
Hundred crore |
100,00,00,000 |
Billion |
1,000,000,000 |
Billions |
|||
|
Thousand crore |
1000,00,00,000 |
Ten Billion |
10,000,000,000 |
||||
With the help of the
above table, we can read the number 57340000 as 5,73,40,000 (five crore seventy
three lakh forty thousand) in the Indian System and as 57,340,000 (fifty seven
million, three hundred forty thousand) in the International System.
Example: 4
The distance between the Sun and the Earth is about 92900000 miles. Read
and write the number in the Indian and the International System by using commas.
Solution:
Indian System
|
Crores |
Ten lakhs |
Lakhs |
Ten thousands |
Thousands |
Hundreds |
Tens |
Ones |
|
9 |
2 |
9 |
0 |
0 |
0 |
0 |
0 |
i.e.,
9,29,00,000
This is read as Nine
Crore Twenty Nine Lakh.
International System
|
Ten Millions |
Millions |
Hundred thousands |
Ten thousands |
Thousands |
Hundreds |
Tens |
Ones |
|
9 |
2 |
9 |
0 |
0 |
0 |
0 |
0 |
i.e., 92,900,000
This is read as Ninety
Two Million Nine Hundred Thousand.
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