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In place worth chart, the digits are grouped within the threes in a giant
quantity. The quantity is learn from left to proper as ………. billion ……….
million ……….. hundreds ……….. ones.
The place worth chart of the Worldwide System is given beneath:
100,000 = 100 thousand
1,000,000 = 1 million
10,000,000 = 10 thousands and thousands
100,000,000 = 100 thousands and thousands
Entire numbers will be represented on the place-value chart.
The numbers 702845 and 360400295 are represented on the place-value chart.
We are able to increase these numbers as:
702845 = 7 × 100000 + 2 × 1000 + 8 × 100 + 4 × 10 + 5 × 1
360400295 = 3 × 100000000 + 6 × 10000000 + 4 × 100000 + 2 × 100 + 9 × 10 + 5 × 1
In 702845:
Place worth of seven is 7 × 100000 = 700000 and the place is hundred thousand.
Place worth of two is 2 × 1000 = 2000 and the place is hundreds.
Place worth of 8 is 8 × 100 = 800 and the place is tons of.
Place worth of 4 is 4 × 10 = 40 and the place is tens.
Place worth of 5 is 5 × 1 = 5 and the place is ones.
In 360400295:
Place worth of three is 3 × 100000000 = 300000000 and the place is hundred million.
Place worth of 6 is 6 × 10000000 = 60000000 and the place is ten million.
Place worth of 4 is 4 × 100000 = 400000 and the place is hundred thousand.
Place worth of two is 2 × 100 = 200 and the place is hundred.
Place worth of 9 is 9 × 10 = 90 and the place is tens.
Place worth of 5 is 5 × 1 = 5 and the place is ones.
Notice:
The place worth of digit 0 at anywhere is 0.
Let’s learn the numbers by observing the place worth chart;
218705 – The quantity is learn as 218 hundreds 705.
It’s written as 218,705 (utilizing comma).
42156 – The quantity is learn as 42 hundreds 156.
It’s written as 42,156 (utilizing comma).
25374821 – The quantity is learn as 25 million 374 hundreds 821.
It’s written as 25,374,821 (utilizing comma).
Indian Place-Worth Chart
We all know that within the Indian place-value chart, we transfer from proper
to left. Every place-value represents 10 instances the place-value to its speedy
proper. The next place-value chart reveals 9 locations. Ranging from the
proper the 9 locations are grouped into 4 durations particularly ones, hundreds,
lakhs and crores. Every interval is separated by a comma.
To learn a big quantity we are saying, the identify for the quantity adopted by the identify of the interval from left to proper. To jot down a big quantity from phrase kind to the usual kind we substitute digits comparable to the quantity for every interval from left to proper. We use commas instead of durations names.
When a interval comprises zero, we don’t identify that interval within the phrase kind.
With the rise within the variety of digits, the place worth chart extends to the left. The place worth chart displaying the primary six locations within the numeration system is given beneath.
Notice: The worth of a spot within the place worth chart is 10 instances the worth of the place subsequent to its proper.
|
10 ones 10 tens 10 Tons of 10 thousand 10 ten hundreds |
= 1 ten = 1 hundred = 100 ones = 1 thousand = 100 tens = 1 ten thousand = 1 lakh = 100 hundreds |
Index kind
|
10 100 1000 10000 100000 |
= 10 × 10 = 10 × 10 × 10 = 10 × 10 × 10 × 10 = 10 × 10 × 10 × 10 × 10 |
= 10(^{1}) (ten energy 1) = 10(^{2}) (ten energy 2) = 10(^{3}) (ten energy 3) = 10(^{4}) (ten energy 4) = 10(^{5}) (ten energy 5) |
The facility signifies the variety of instances 10 is multiplied and therefore the variety of zeroes current within the quantity.
|
1 lakh 10 lakhs 10 10(^{0}) |
= 10(^{5}) = 10(^{5}) × 10 = 10(^{6}) = 1000000 = 10(^{1}) = 1 |
Any quantity elevate to the facility of zero is 1.
For instance,
|
50(^{0}) 19(^{0}) 100(^{0}) |
= 1 = 1 = 1 |
Solved Examples on Indian Place-Worth Chart:
1. Insert commas and categorical the next numbers in
figures.
Seventy-four crore, three lakhs, forty-one thousand 600 4.
Answer:
Ranging from left we enter the digits from crores, lakhs,
hundreds and ones within the following place-value chart.
Thus, the above quantity is learn as 33,03,41,504
2. Write the quantity 6,51,90,949 in phrases.
Answer:
We enter the digits within the places-value chart ranging from
proper to left.
The quantity is written as six crore, fifty-one lakh, ninety
thousand, 9 hundred forty-nine.
Notice:
A spot that has zero in the usual type of a quantity is
not represented in its phrase kind.
3. Write the quantity names for the next numerals.
(i) 24382
(ii) 89431
(iii) 65428
(iv) 56467
(v) 36009
(vi) 11007
(vii) 24725
(viii) 19391
4. Write the numerals for the next quantity names:
(i) Seventy 5 thousand 5 hundred and forty 4.
(ii) Eighty two thousand 5 hundred and 13.
(iii) Seventy thousand 5 hundred and ten
(iv) Eighty 9 thousand 300 and twenty 4
(v) Ninety thousand 600 and twenty 5
5. Fill within the blanks:
(i) …………… tons of = 1 thousand
(ii) 1 ten thousand = …………… hundreds
(iii) …………… hundreds = 1 lakh
(ii) 100 tens = …………… thousand
6. Write the numerals of:
(i) Seventy
9 lakhs, ninety six thousand 4 hundred and 9.
(ii) Fifteen
million, eight hundred and sixty 4 thousand, 200 thirty 9.
(iii) Twenty
4 million, 300 and fifty seven thousand, 100 and forty
eight.
(iv) Ninety
9 lakhs ninety 9 thousand 9 hundred and ninety 9.
(v) Fifty six
million.
Durations
To learn giant numbers with out problem, we group the locations
into durations within the place worth chart as proven beneath.
The first three locations (1st, 2nd and third) from the suitable make the ‘ones’
interval.
The subsequent two place (4th and 5th) make
the ‘hundreds’ interval.
The 6th and seventh locations from the suitable
make the ‘lakhs’ interval.
We put a comma to separate tons of from hundreds and
hundreds from lakhs.
Whereas studying the numeral all of the digits in the identical interval
are learn collectively and the identify of the interval (besides those) is learn alongside
with them.
For Examples:
We learn 6314829 as sixty three lakhs, fourteen hundreds,
eight hundred and twenty 9.
7,53,610 → Seven lakhs, fifty three hundreds, 600 and
ten.
11,54,897 → Eleven lakhs, fifty 4 hundreds, eight hundred
and ninety seven.
The biggest 6-digit quantity is 999999 (9 lakhs ninety 9
thousand 9 hundred and ninety 9)
9,99,999
+ 1
10,00,000 → The smallest 7-digit quantity is learn as ten lakhs.
The
largest 7-digit quantity is 9999999 (ninety 9 lakhs ninety 9 thousand 9
hundred and ninety 9.
9999999
+ 1
10000000 → The smallest
8-digit quantity is learn as one crore.
Summarization:
To learn and write giant, numbers we use the next Indian place-value chart :
Within the place-value chart given on the earlier web page, the six locations are grouped into durations.
The primary three locations from the suitable finish are grouped beneath ‘ones interval‘.
The subsequent two locations are grouped beneath ‘hundreds interval‘ and
The final one place is grouped beneath ‘lakhs interval‘.
To learn giant numbers, we use the durations.
Observe the next place-value chart by which the digits of the numbers: 63158, 39846, 251034, 193056 and 100000 are organized.
Whereas studying a quantity, all of the digits in the identical interval are learn collectively and the identify of the interval (besides those) is learn together with them.
Whereas writing a quantity, we put a comma after each interval to separate the durations. This helps us to learn the quantity simply.
Notice: We by no means write the plural for the durations. It’s not 4 lakhs, it’s 4 lakh. It’s not forty hundreds, it’s forty thousand.
The prolonged type of the place worth chart is proven beneath. This method of studying and writing numbers is called the INDIAN SYSTEM.
The place worth chart given above is called THE INDIAN PLACE VALUE CHART.
There’s yet one more type of place worth chart which is
adopted by a lot of the international locations. It is called THE INTERNATIONAL SYSTEM or
BRITISH SYSTEM.
On this system the digits in a quantity are separated into
teams of three known as durations.
The primary interval from the suitable is named ‘ones’ interval, the following
interval is named ‘hundreds’ interval and the third
interval is named the ‘thousands and thousands’ interval. On this
system additionally, all of the digits in the identical interval are learn collectively and the identify
of the interval (besides those) is learn together with them.
The place worth chart given beneath is called THE
INTERNATIONAL PLACE VALUE CHART.
For instance:
(i) 396,453,421 learn as ‘300 and ninety six
million, 4 hundred and fifty three thousand, 4 hundred and twenty one’.
(ii) 523,468,215 learn as ‘5 hundred and twenty three
million, 4 hundred and sixty eight thousand, 200 and fifteen’.
(iii) 876,523,140 learn as ‘eight hundred and seventy six
million, 5 hundred and twenty three thousand, 100 and forty’.
Index Type:
|
1 lakh 10 lakhs 1 crore 10 crores |
= 100 thousand = 1 million = 10 million = 100 million |
= 10(^{5}) = 10(^{6}) = 10(^{7}) = 10(^{8}) |
Associated Idea
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