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Place value System (view source)

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Welcome to Class 1 Place value System lesson plan
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{{Infobox
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| name = Ganita Education Series
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| title      = Class 1 Lesson Plans in English
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| subheader  = [[Introduction to Mathematics (English) | Lesson:1 Introduction to Mathematics]]
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| subheader2 = [[Shapes | Lesson 2: Shapes]]
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| subheader3 = [[Number Knowledge | Lesson 3: Number Knowledge]]
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| subheader4 = [[Place value System | Lesson 4: Place value System]]
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| subheader5 = [[Addition | Lesson 5: Addition]]
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| subheader6 = [[Subtraction | Lesson 6: Subtraction]]
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| subheader7 = [[Measurement | Lesson 7: Measurement]]
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| subheader8 = [[Time | Lesson 8: Time ]]
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| subheader9 = [[Whole and Parts | Lesson 9: Whole and Parts]]
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| subheader10 = [[Money | Lesson 10: Money]]}}
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== Learning Objectives ==
 
== Learning Objectives ==
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# Origin of Numerals
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# Introduction to place value up to 3 digits
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# Comparing two 2-digit numbers
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# Partitioning two- and three-digit numbers
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# Know the value of numbers
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# Ascending and descending order
    
== Origin of Numerals ==
 
== Origin of Numerals ==
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Knowledge of number skills is extremely valuable for us to perform many activities of our daily lives. We use them so often that it appears as though they have always existed. Have you ever wondered
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* When was it that man first start counting?
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* In what ways did he represent numbers?
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* Did all people all over the world count in the same way?
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Let’s try to find answers to some of these questions.
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Indeed, counting is a pretty old. The numbers we know now have been in use for a long time. But how do we know that? Information about past times is obtained in a few ways.
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* told by their elders and teachers
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* written on palm leaves
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* writings on stones found in temples or caves
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* noted in the records of ancient travellers
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Using examining such evidences our scholars and scientists have understood that the modern numbers used in the world have first existed in India. There are a few evidences which show that modern numeral systems evolved from India.
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* Vedas describe about numbers.
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* An Arabic traveller by the name '''Abu al Khwarizmi''' recorded his visit to India about 1200 years ago. He noted down in his book that Indians had a
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* well-developed number system
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* calculation methods
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* zero in their numeral system
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Now we understand how numbers and counting has been an age-old practice in India.
    
== Digits (Numbers) and Arrangement ==
 
== Digits (Numbers) and Arrangement ==
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Symbols of Numbers
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In the Indian (also called Hindu) system of writing numbers there are only ten symbols. For the numbers one to nine the symbols are called Anka (meaning “mark”). The zero symbol is called shunya (meaning “empty”). These ankas (digits) used for all calculations in the world are called “Hindu-Arabic” numbers.
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{| class="wikitable" style="background-color:#fff0f5;"
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|[[File:Number knowledge - Sanskrit Number 1.PNG|frameless|54x54px]]
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|[[File:Number knowledge - Sanskrit Number 2.PNG|frameless|50x50px]]
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|[[File:Number knowledge - Sanskrit Number 3.PNG|frameless|50x50px]]
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|[[File:Number knowledge - Sanskrit Number 4.PNG|frameless|41x41px]]
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|[[File:Number knowledge - Sanskrit Number 5.PNG|frameless|52x52px]]
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|[[File:Number knowledge - Sanskrit Number 6.PNG|frameless|46x46px]]
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|[[File:Number knowledge - Sanskrit Number 7.PNG|frameless|47x47px]]
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|[[File:Number knowledge - Sanskrit Number 8.PNG|frameless|46x46px]]
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|[[File:Number knowledge - Sanskrit Number 9.PNG|frameless|43x43px]]
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|[[File:Number knowledge - Sanskrit Number 0.PNG|frameless|37x37px]]
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|}
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As writing evolved the symbols are used to count and write from shunya to nine. They form the one-digit numbers or Units.
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{| class="wikitable"
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|[[File:Number knowledge - Sanskrit Number 0.PNG|frameless|27x27px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 1.PNG|frameless|35x35px]]
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| style="height:27px; width:27px;" |[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 2.PNG|frameless|35x35px]]
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| style="height:28px; width:28px;" |[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:28px; width:28px;" |[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 3.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 4.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 5.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 6.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 7.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 8.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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| style="height:27px; width:27px;" |
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|-
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|[[File:Number knowledge - Sanskrit Number 9.PNG|frameless|35x35px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|}
    
== Place-value of Numbers ==
 
== Place-value of Numbers ==
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Tens and More…..
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But how do we write ten after nine? When we have more than nine things to count, we start writing in a new column one place to the left of the anka. Thus, one place to the left of '''units or one-digit place''' we start a new column called the “tens”.
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{| class="wikitable" style="float: right; margin-left: 100px;
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|+So we get the number 10,
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|[[File:Number knowledge - Sanskrit Number 1.PNG|frameless|35x35px]][[File:Number knowledge - Sanskrit Number 0.PNG|frameless|27x27px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|[[File:Place value system - marble.png|frameless|26x26px]]
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|}
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{| class="wikitable"
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|Tens
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|Units
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|-
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|[[File:Number knowledge - Sanskrit Number 1.PNG|frameless|35x35px]]
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|[[File:Number knowledge - Sanskrit Number 0.PNG|frameless|27x27px]]
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|}
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Now we know that we have more things to count, so let’s keep the ten as a group in the tens column and add more digits in the units or ones’ place. 
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Number 14 has 1 Ten and 4 Ones and Number 32 has ________ Tens and _______ Ones
    
== Activity: Make a number ==
 
== Activity: Make a number ==
Retrieved from ‘https://dharmawiki.org/index.php/Special:MobileDiff/130361...131218’

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