International Place Value System - PowerPoint Presentation

1. International Place Value System

2. Place Value ChartIn Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart, and then write the numbers in the usual and the standard form. Place Value Chart For Indian SystemHere, the Indian System of place value chart is given belowPlace Value Chart For Indian SystemCroresLakhsThousandsOnesTen CroresCroresTen LakhsLakhTen ThousandsThousandHundredsTensOnes(TC)  (C)(TL)(L)(TTh)(Th)(H)(T)(O)(10, 00,00,000)(1, 00,00,000)(10,00,000)(1,00,000)(10,000)(1,000)(100)(10)(1)

3. Place Value Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it as one’s position. After units, it comes tens, hundreds, thousands, ten thousand, hundred thousands and so on. Let us understand with the help of an example, say 3147286, and see below the place value of each digit.

4. Place Value Chart For International SystemIn International  system we start grouping the number from right in group of 3, called period and we put comma or space after each period to make the number easily readable.Place Value Chart For International SystemMillionsThousandsOnesHundred- Millions(HM)(100, 000,000)Ten-Millions(TM)(10, 000,000)Millions(1,000,000)Hundred -Thousands (HTh)100,000)Ten- Thousands (TTh)(10,000)Thousands (Th)(1000)Hundreds (H)(100)Tens(T)(10)Ones(O) (1)

5. Comparison Between Indian and International SystemIn both the systems,  5-digit numbers are read in the same way. Here, we will have a look at the comparison of how to read the numbers in both the Indian and International system.International system of numeration is used worldwide.  No. of. DigitsIndian SystemInternational System6-Digit Numbers             1 Lakh           100 Thousand7-Digit Numbers             10 Lakhs       1 Million8-Digit Numbers         1 Crore     10 Million9-Digit Numbers       10 Crores         100 Million

6. Example 1:Question - Write the number 27349811 in the International place value system. Also, write it with commas and in words.Solution - With commas – 27,349,811In words – Twenty-seven million three hundred forty-nine thousand eight hundred eleven.T.MMH.ThT.ThThHTO27349811

7. Exmple 2 When each digit of a given number is written with its place value, we get the expanded form of the number.Example: 341,697,832We can expand any given number in three ways:3 hundred million + 4 ten million + 1 million + 6 hundred thousand + 9 ten thousand + 7 thousand + 8 hundred + 3 ten + 2 oneOr3 x 100,000,000 + 4 x 10,000,000 + 1 x 1,000,000 + 6 x 100,000 + 9 x 10,000 + 7 x 1,000 + 8 x 100 + 3 x 10 + 2 x 1Or300,000,000 + 40,000,000 + 1,000,000 + 600,000 + 90,000 + 7,000 + 800 + 30 + 2

8. WorksheetQuestion 1 - Write each number in expanded notation.1) 6,165,253 =2) 7,719,685 =3) 5,647,992 =4) 8,186,903 =5) 2,470,732 =

9. WorksheetQuestion 2 - Write Each Number in Standard Form.(4 x 1,000,000) + (7 x 100,000) + (1 x 10,000) + (8 x 1,000) + (1 x 100) + (6 x 10) + (7 x 1)(4 x 1,000,000) + (0 x 100,000) + (6 x 10,000) + (8 x 1,000) + (7 x 100) + (3 x 10) + (9 x 1)(1 x 1,000,000) + (3 x 100,000) + (8 x 10,000) + (7 x 1,000) + (0 x 100) + (5 x 10) + (7 x 1)(8 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + (1 x 1,000) + (0 x 100) + (8 x 10) + (8 x 1)(4 x 1,000,000) + (9 x 100,000) + (2 x 10,000) + (6 x 1,000) +(1 x 100) + (3 x 10) + (0 x 1)

10. Thank you Sushma Malviya