### Math - Class 4 - Indian and International Place Value Chart/ Indian and International Place Value System/ Indian and International Number System- Key Points/Notes/Worksheets/Explanation/Lesson/Practice Questions

**Tags:**Free Worksheet PDF on Indian and International place value chart, Lesson on Indian and International place value chart for class IV, International place value chart for class 4, Comparison, Place value of a number, Face value, Expanded notation, Indian and International system free downloadable worksheets PDF and practice page for fourth grade, Quiz on Indian and International system, place value lesson, Indian System of Numeration for 4rth standard, You Tube Video on Indian and International Place Value Chart, Indian Number System, Place value teaching, Place value example, How to find place value and face value of a number, Indian numbering system, Indian place value system. Write the number name according to the Indian place value chart. Write the number name according to the International place value chart. Write in numerals. Write the face value and place value of the underline digit in each of the following. Write the place value of both 6s in number 26, 57,116. Find the sum of the place values. Find the difference of the place value.__Indian and International Place Value Chart____Indian Place Value Chart__Place value tells us the value of each digit in a numeral based on its position. A place value chart helps us to recognize large numbers. We read place value chart from left to right. In Indian system we start grouping the number from right in group of 3 and further in group of 2.The place value chart have been separated into groups called periods i.e. ones, thousands, lakhs and crores.

- Let’s read this number according to Indian
Place Value Chart.

3, 56,245 – Three lakh fifty six thousand two hundred forty five

1, 23, 50,005- One crore twenty three lakh fifty thousand five

__International Place Value Chart__The place value that is used in many countries of the world is called International Place Value Chart. To understand the place value of each digit, we put the number in place value chart so that we can identify each digit. In 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.

- Let’s read this number according to
International Place Value Chart.

37,987,450 – Thirty seven million nine hundred eighty seven thousand four hundred fifty

100,000,150- One hundred million one hundred fifty

__Let’s compare the two number systems__- From above comparison we observe that

100 thousands = 1 lakh

1 million = 10 lakhs

10 millions = 1 crore

100 millions= 10 crores

__Place Value and Face Value__Place value of the digit is the product of the face value of the digit and the value of its place whereas face value of a digit is the digit itself.

- Let’s find the face value and place value
of 6 in 6, 45,100

Face Value is digit itself so face value of 6 in 6, 45,100 is ‘6’

Place Value of the digit is product of the face value of the digit and the value of its place so, place value of 6 in 6,45,100 is 6 x 1,00,000 = 6,00,000 (6 Lakh)

__Expanded Notation__In expanded form, we expand each digit of a number to its place value.

Let’s see expanded notation of the number 29,123

This can be expanded in three different ways:

· 2 ten thousands +9 thousands + 1 hundred + 2 tens + 3 ones

· (2 x 10,000) + (9 x 1,000) + (1 x 100) + (2 x 10) + (3 x 1)

· 20000 + 9000 + 100 + 20 + 3

Standard form of 60000+4000+40+6 is 64,046

- Let’s read this number according to Indian
Place Value Chart.
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