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.
Indian Place Value Chart
- 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.
Example:
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.
Example:
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
Lets Compare the two Systems
- 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 of a digit is the 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.
Example:
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
Practice Sums
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Q1 |
Write the number name according to the Indian place value chart |
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a. b. c. d. e. f. |
2,79,68,234 - _____________________________________ 44,23,400 - _____________________________________ 99,99,999 - _____________________________________ 1,00,06,002 - _____________________________________ 55,55,720 - _____________________________________ 1,71,00,197 - _____________________________________ |
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Q2 |
Write the number name according to the International place value chart. |
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a. b. c. d. e. f. |
500,500 -____________________________________ 112,400 -____________________________________ 7,077,777 -____________________________________ 500,000 -____________________________________ 3,999,634 -____________________________________ 4,780,004 -____________________________________
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Q3 |
Write in numerals. |
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a. b. c. d. e. |
Two lakh fifty three thousand two hundred thirty _________ Fifty two lakh twenty thousand two ___________ Thirty five million two hundred thirty four thousand two hundred ____________ Seventy million five hundred thousand one hundred two ____ Three lakh fifteen thousand nine ___________ |
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Q4 |
Write the face value and place value of the underline digit in each of the following. |
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Numeral |
Face Value |
Place Value
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67,542 |
_________________ |
_________________ |
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2,43,612 |
_________________ |
_________________ |
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4,800,400 |
_________________ |
_________________ |
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26,77,129 |
_________________ |
_________________ |
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Q5 |
Write the place value of both 6s in number 26, 57,116. _______________________ ______________________ |
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Q6 |
Find the sum of the place values of 4 in each of the following. |
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48,124 |
_________________________________________ |
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41,404 |
_________________________________________ |
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45,499 |
_________________________________________ |
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Q7. |
Find the difference of the place values of 5 in each of the following. |
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5,335 |
_________________________________________ |
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15,005 |
_________________________________________ |
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65,050 |
_________________________________________ |
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Q8. |
Fill in the blanks |
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a. 100 thousand = _______ lakh |
d. ____thousand = 1 ten thousand |
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b. ____ hundreds = 1 thousand |
e. ____ lakhs = 1 million |
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c. 100 ones = 1 _________ |
f. 50 millions = ______ crores |
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Q9 |
Write in standard form. |
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a. b. c. d. e. |
8 lakhs + 0 ten thousands + 5 thousands + 1 hundred = _____________ 5 ten thousands + 3 thousands + 3 ones = _____________ 3,00,000 + 2,000 + 100 + 20 = _____________ (5 x 1,00,000) + (5 x 100) + 1 = _____________ 40,000 + 2,000 + 600 + 30 + 7 = _____________ |
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Q10 |
Write in expanded form. |
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a. b. c. d. e. |
28,457 = ______________________________________ 5,20,754 = ______________________________________ 8,26,444 = ______________________________________ 33,211 = ______________________________________ 805,566 = ______________________________________ |
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Q3 |
Fill in the blanks. |
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a. b. c. d. e. |
30,000+5,000+300+20+1 = __________________ 4,00,000+4,000+300+10 = __________________ 80,000+60+1 = __________________ 56,782 = __ ten thousand+__ thousands+__ hundreds+__ tens+__ ones 29,536 = 2x_________ + 9x________ + 5x_____ + 3x____ + 6x__ |
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Q11 |
Write the number. |
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a. 10 lakhs = _______________ |
b. 600 thousands = _____________ |