5 Thousands + 7 Thousands

Place Value Nautical chart

In identify value chart, the digits are grouped in the threes in a big number. The number is read from left to right as ………. billion ………. one thousand thousand ……….. thousands ……….. ones.

The place value nautical chart of the International System is given below:

100,000 = 100 thousand

1,000,000 = 1 meg

10,000,000 = x millions

100,000,000 = 100 millions

Whole numbers can be represented on the place-value chart.

The numbers 702845 and 360400295 are represented on the identify-value chart.

We can expand these numbers every bit:

702845 = 7 × 100000 + two × 1000 + viii × 100 + 4 × 10 + 5 × ane

360400295 = 3 × 100000000 + 6 × 10000000 + 4 × 100000 + two × 100 + ix × 10 + 5 × 1

In 702845:

Place value of 7 is 7 × 100000 = 700000 and the place is hundred thousand.

Identify value of 2 is two × g = 2000 and the place is thousands.

Place value of 8 is 8 × 100 = 800 and the place is hundreds.

Place value of iv is 4 × x = forty and the place is tens.

Place value of 5 is v × 1 = 5 and the place is ones.

In 360400295:

Place value of three is 3 × 100000000 = 300000000 and the identify is hundred meg.

Identify value of 6 is six × 10000000 = 60000000 and the place is ten million.

Place value of 4 is 4 × 100000 = 400000 and the place is hundred thousand.

Place value of two is 2 × 100 = 200 and the place is hundred.

Place value of nine is 9 × 10 = ninety and the identify is tens.

Identify value of 5 is 5 × 1 = 5 and the identify is ones.

Note:

The place value of digit 0 at any place is 0.

Let's read the numbers past observing the place value chart;

218705 – The number is read as 218 thousands 705.

It is written as 218,705 (using comma).

42156 – The number is read equally 42 thousands 156.

It is written as 42,156 (using comma).

25374821 – The number is read as 25 1000000 374 thousands 821.

Information technology is written as 25,374,821 (using comma).

Indian Place-Value Chart

We know that in the Indian place-value chart, we move from right to left. Each place-value represents ten times the place-value to its immediate correct. The post-obit place-value nautical chart shows nine places. Starting from the correct the nine places are grouped into four periods namely ones, thousands, lakhs and crores. Each period is separated by a comma.

To read a large number we say, the name for the number followed by the name of the period from left to right. To write a large number from word form to the standard form we substitute digits corresponding to the number for each period from left to right. Nosotros utilize commas in place of periods names.

When a period contains zero, nosotros do not name that period in the word form.

With the increase in the number of digits, the place value chart extends to the left. The identify value chart showing the first half-dozen places in the numeration organisation is given below.

Annotation: The value of a place in the place value chart is x times the value of the place next to its correct.

10 ones ten tens 10 Hundreds 10 thou ten ten thousands

=          ane ten =          i hundred          =     100 ones =          ane one thousand         =     100 tens =          1 ten thousand =          1 lakh                =     100 thousands

Index form

x 100 1000 10000 100000

=     10 × 10 =     10 × 10 × x =     x × 10 × x × ten =     10 × ten × x × ten × 10

=     ten\(^{1}\) (10 power 1) =     10\(^{two}\) (ten ability 2) =     10\(^{3}\) (ten power iii) =     10\(^{four}\) (10 power 4) =     10\(^{5}\) (ten power 5)

The power indicates the number of times 10 is multiplied and hence the number of zeroes present in the number.

1 lakh 10 lakhs 10 x\(^{0}\)

= 10\(^{5}\) = x\(^{5}\) × 10 = 10\(^{vi}\) = 1000000 = x\(^{1}\) = ane

Any number raise to the power of zero is 1.

For example,

fifty\(^{0}\) xix\(^{0}\) 100\(^{0}\)

=     1 =     i =     1

Solved Examples on Indian Place-Value Nautical chart:

1. Insert commas and express the following numbers in figures.

70-four crore, three lakhs, forty-one grand 6 hundred four.

Solution:

Starting from left we enter the digits from crores, lakhs, thousands and ones in the following identify-value chart.

Thus, the in a higher place number is read every bit 33,03,41,504

2. Write the number 6,51,ninety,949 in words.

Solution:

We enter the digits in the places-value chart starting from correct to left.

The number is written equally half-dozen crore, fifty-one lakh, ninety one thousand, ix hundred forty-9.

Annotation:

A place that has null in the standard class of a number is non represented in its word grade.

3. Write the number names for the following numerals.

(i) 24382

(ii) 89431

(iii) 65428

(iv) 56467

(5) 36009

(vi) 11007

(vii) 24725

(viii) 19391

4. Write the numerals for the following number names:

(i) Seventy five thou v hundred and 40 iv.

(ii) Fourscore two thousand five hundred and thirteen.

(iii) Seventy thousand five hundred and 10

(iv) Fourscore nine 1000 3 hundred and twenty four

(v) Ninety one thousand six hundred and xx five

five. Fill in the blanks:

(i) ............... hundreds = i m

(ii) i ten chiliad = ............... thousands

(three) ............... thousands = 1 lakh

(ii) 100 tens = ............... thousand

6. Write the numerals of:

(i) Seventy nine lakhs, ninety 6 grand four hundred and nine.

(two) Xv one thousand thousand, eight hundred and lx four thou, 2 hundred xxx nine.

(iii) 20 four million, three hundred and fifty seven g, one hundred and forty 8.

(iv) Ninety nine lakhs ninety ix m nine hundred and ninety 9.

(5) Fifty six million.

Periods

To read large numbers without difficulty, we group the places into periods in the place value chart as shown below.

The first iii places (1st, 2nd and 3rd) from the right brand the 'ones' period.

The next two place (4^thursday and 5^th) brand the 'thousands' period.

The half dozen^th and seven^th places from the correct make the 'lakhs' flow.

We put a comma to separate hundreds from thousands and thousands from lakhs.

While reading the numeral all the digits in the same period are read together and the name of the flow (except the ones) is read forth with them.

For Examples:

We read 6314829 as sixty three lakhs, fourteen thousands, eight hundred and twenty 9.

7,53,610     → Seven lakhs, fifty three thousands, six hundred and ten.

11,54,897   → 11 lakhs, fifty four thousands, eight hundred and ninety seven.

The largest 6-digit number is 999999 (ix lakhs xc ix thousand nine hundred and ninety ix)

     9,99,999

     + 1

 10,00,000     →    The smallest vii-digit number is read every bit ten lakhs.

The largest 7-digit number is 9999999 (90 nine lakhs ninety ix thousand nine hundred and ninety nine.

     9999999

+           1

  10000000      →    The smallest 8-digit number is read as i crore.

The extended form of the identify value nautical chart is shown beneath. This organization of reading and writing numbers is known as the INDIAN Arrangement .

The identify value chart given above is known every bit THE INDIAN Identify VALUE Nautical chart.

There is yet another class of place value chart which is followed by most of the countries. Information technology is known equally THE INTERNATIONAL Arrangement or BRITISH Organization .

In this organisation the digits in a number are separated into groups of three chosen periods.

The get-go period from the right is called 'ones' catamenia, the next catamenia is called 'thousands' period and the third period is called the 'millions' period. In this system too, all the digits in the same menses are read together and the proper noun of the flow (except the ones) is read forth with them.

The place value chart given below is known as THE INTERNATIONAL PLACE VALUE Chart .

For example:

(i) 396,453,421 read as 'iii hundred and ninety half dozen million, four hundred and fifty three thousand, four hundred and twenty ane'.

(ii) 523,468,215 read as 'five hundred and twenty three 1000000, four hundred and lx eight chiliad, two hundred and fifteen'.

(iii) 876,523,140 read every bit 'viii hundred and seventy six one thousand thousand, 5 hundred and xx three g, one hundred and forty'.

Index Form:

1 lakh 10 lakhs 1 crore 10 crores

= 100 thousand = 1 meg = 10 million = 100 million

= 10\(^{5}\) = x\(^{vi}\) = 10\(^{7}\) = 10\(^{viii}\)

Related Concept

• Germination of Numbers.
• Finding Out the Numbers
• Names of the Numbers.
  
• Numbers Showing on Fasten Abacus.
  
• 1 Digit Number on Spike Abacus.
  
• 2 Digits Number on Spike Abacus.
  
• three Digits Number on Fasten Abacus.
  
• 4 Digits Number on Spike Abacus.
  
• five Digits Number on Spike Abacus.
  
• Large Number.
• Identify Value Nautical chart.
• Place Value.
• Issues Related to Place Value.
• Expanded class of a Number.
• Standard Form.
• Comparison of Numbers.
• Example on Comparison of Numbers.
• Successor and Predecessor of a Whole Number.
  
• Arranging Numbers.
  
• Germination of Numbers with the Given Digits.
• Formation of Greatest and Smallest Numbers.
• Examples on the Formation of Greatest and the Smallest Number.
• Rounding off Numbers.

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5 Thousands + 7 Thousands,

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