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Place value System (view source)

Revision as of 20:56, 4 August 2021

12,317 bytes added ,  20:56, 4 August 2021
→‎Order of Numbers (Ascending and Descending)
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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”.  
 
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”.  
−
{| class="wikitable" style="float: right; margin-left: 100px;
+
{| class="wikitable" style="float: right; margin-left: 50px;"
 
|+So we get the number 10,
 
|+So we get the number 10,
 
|[[File:Number knowledge - Sanskrit Number 1.PNG|frameless|35x35px]][[File:Number knowledge - Sanskrit Number 0.PNG|frameless|27x27px]]
 
|[[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]]
 
|[[File:Place value system - marble.png|frameless|26x26px]]
 
|}
 
|}
 +
 
{| class="wikitable"  
 
{| class="wikitable"  
 
|Tens
 
|Tens
Line 200: Line 201:  
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.   
 
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.   
   −
Number 14 has 1 Ten and 4 Ones and Number 32 has ________ Tens and _______ Ones
+
Number 32 has ________ Tens and _______ Ones and Number 14 has ______ Ten and ______ Ones
 +
{| class="wikitable" style="float: right; margin-left: 10px;"
 +
| style="height:40px; width: 100px;" |Tens
 +
| style="height:40px; width: 50px;" |Ones
 +
|-
 +
| style="height:40px; width: 100px;" |[[File:Number knowledge - Sanskrit Number 3.PNG|frameless|35x35px]]
 +
| style="height:40px; width: 50px;" |[[File:Number knowledge - Sanskrit Number 2.PNG|frameless|35x35px]]
 +
|- style="height:40px; width: 100px;"
 +
|[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
|[[File:Place value system - marble.png|frameless|26x26px]]
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
|}
 +
{| class="wikitable"
 +
| style="height:40px; width: 50px;" |Tens
 +
| style="height:40px; width: 50px;" |Ones
 +
|- style="height:40px; width: 50px;"
 +
|[[File:Number knowledge - Sanskrit Number 1.PNG|frameless|35x35px]]
 +
|[[File:Number knowledge - Sanskrit Number 4.PNG|frameless|35x35px]]
 +
|- style="height:40px; width: 50px;"
 +
|[[File:Place value system - marble.png|frameless|26x26px]]
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]]
   −
== Activity: Make a number ==
+
[[File:Place value system - marble.png|frameless|26x26px]]
   −
== Activity: Partition a number ==
+
[[File:Place value system - marble.png|frameless|26x26px]]
 +
 
 +
[[File:Place value system - marble.png|frameless|26x26px]]
 +
|[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
[[File:Place value system - marble.png|frameless|26x26px]] [[File:Place value system - marble.png|frameless|26x26px]]
 +
|}
 +
=== Activity: Make a number ===
 +
Number Exercise: Identifying places in a number.
 +
{| class="wikitable"
 +
!Tens Place
 +
!Units Place
 +
!Write the number
 +
|-
 +
|[[File:Place value system - Caps.png|frameless|200x200px]]
 +
|[[File:Place value system - Cap.png|frameless|100x100px]]
 +
|31
 +
|-
 +
|[[File:Place value system - Fishes 5.png|frameless|200x200px]]
 +
|[[File:Place value system - Fishes 5.png|frameless|180x180px]]
 +
|55
 +
|-
 +
|[[File:Place value system - Balloons 4.png|frameless|160x160px]]
 +
|[[File:Place value system - Balloons 2.png|frameless|90x90px]]
 +
|
 +
|-
 +
|[[File:Place value system - Twigs 6.png|frameless|200x200px]]
 +
|[[File:Place value system - Twig 1.png|frameless|80x80px]]
 +
|
 +
|-
 +
|[[File:Place value system - Banana 1.png|frameless|250x250px]]
 +
|[[File:Place value system - Banana 2.png|frameless|96x96px]]
 +
|
 +
|-
 +
|
 +
|[[File:Place value system - Marbles 4.png|frameless|190x190px]]
 +
|
 +
|-
 +
|[[File:Place value system - Pencils 3.png|frameless|100x100px]]
 +
|[[File:Place value system - Pencils 8.png|frameless|160x160px]]
 +
|
 +
|-
 +
|[[File:Place value system - Chicks-01.png|frameless|180x180px]]
 +
|
 +
|
 +
|-
 +
|[[File:Place value system - Cup 1.png|frameless|64x64px]]
 +
|[[File:Place value system - Cups 5.png|frameless|190x190px]]
 +
|
 +
|-
 +
|
 +
|[[File:Place value system - Saucers 9.png|frameless|190x190px]]
 +
|
 +
|}
   −
== Activity: Finding the place-value ==
+
=== Activity: Partition a number ===
 +
Number Exercise – Partition a two-digit number into individual places
 +
{| class="wikitable"
 +
!Color Tens place green
 +
!Color the units place red
 +
!Number
 +
|-
 +
|[[File:Place value system - Caps green.png|frameless|180x180px]]
 +
|[[File:Place value system - Caps red.png|frameless|180x180px]]
 +
|54
 +
|-
 +
|[[File:Place value system - Fish green.png|frameless|180x180px]]
 +
|[[File:Place value system - Fish red.png|frameless|180x180px]]
 +
|56
 +
|-
 +
|[[File:Place value system - Oranges outline 1.png|frameless|200x200px]]
 +
|[[File:Place value system - Oranges outline 2.png|frameless|180x180px]]
 +
|49
 +
|-
 +
|[[File:Place value system - Match sticks 1.png|frameless|200x200px]]
 +
|[[File:Place value system - Match sticks 2.png|frameless|220x220px]]
 +
|81
 +
|-
 +
|[[File:Place value system - Banana outline 1.png|frameless|200x200px]]
 +
|[[File:Place value system - Banana outline 2.png|frameless|200x200px]]
 +
|95
 +
|-
 +
|
 +
|[[File:Place value system - Marbles outline.png|frameless|200x200px]]
 +
|07
 +
|}
 +
{| class="wikitable"
 +
!Color Tens place green
 +
!Color the units place red
 +
!Number
 +
|-
 +
|[[File:Place value system - Book colouring-01.png|frameless|180x250px]]
 +
|[[File:Place value system - Book colouring-02.png|frameless|200x200px]]
 +
|38
 +
|-
 +
|[[File:Place value system - Ducks outline.png|frameless|220x220px]]
 +
|
 +
|10
 +
|-
 +
|[[File:Place value system - Bottles colouring 1.png|frameless|200x200px]]
 +
|[[File:Place value system - Bottles colouring 2.png|frameless|200x200px]]
 +
|26
 +
|-
 +
|
 +
|[[File:Place value system - Spoons outline.png|frameless|200x200px]]
 +
|02
 +
|}
 +
 
 +
=== Activity: Finding the place-value ===
 +
Number Exercise – Identify the ones and tens place of a number.
 +
{| class="wikitable"
 +
| colspan="4" |What is in the ones place in each number?
 +
|-
 +
|26
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |6
 +
|}
 +
|31
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |1
 +
|}
 +
|10
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|53
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|-
 +
|65
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|12
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|44
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|39
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|-
 +
|20
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|7
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|88
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|74
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|-
 +
| colspan="4" |What is in the tens place in each number?
 +
|-
 +
|40
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |4
 +
|}
 +
|96
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |9
 +
|}
 +
|18
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|63
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|-
 +
|9
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|47
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|59
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|75
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|-
 +
|25
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|11
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|5
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|33
 +
{| class="wikitable"
 +
| style="height:30px; width:30px;" |
 +
|}
 +
|-
 +
| colspan="4" |Circle all numbers having  zero in the ones place
 +
 
 +
25         68       90        56        92        30        29       41
 +
|-
 +
| colspan="4" |Circle the numbers having 5  in the tens place
 +
 
 +
52       95       30        59       18       5        91       85
 +
|}
    
== Numbers have a value ==
 
== Numbers have a value ==
 +
Numbers – Are they more or less?
 +
{| class="wikitable"
 +
|[[File:Place value system - tree.png|frameless|200x200px]]
 +
| rowspan="2" style="height:200px; width:200px;" |'''Remember, we studied last year that,'''
 +
 +
'''Trees have more leaves'''
 +
 +
'''                   And a plant has less leaves.'''
 +
|[[File:Place value system - plant.jpg|frameless|253x253px]]
 +
|-
 +
| style="height:120px; width:200px;" |Can we count the number of leaves of a Tree?
 +
'''Too Many to Count!!!!'''
 +
| style="height:120px; width:200px;" |Can we count the number of leaves of a plant?
 +
'''Yes, there are a few.'''
 +
|}
 +
 +
{| class="wikitable"
 +
|[[File:Place value system - Moon and stars outline.png|left|frameless|208x208px]]
 +
 +
Color what is more in yellow.
 +
 +
Moon: _________________
   −
== Activity: Farm Fresh ==
+
Stars: ________________
 +
|Which animal has more feathers?
 +
Color it in blue.
   −
== Numbers have a value ==
+
[[File:Place value system - Ostrich outline.jpg|frameless|168x168px]] [[File:Place value system - Peacock outline.png|frameless|165x165px]]
 +
|-
 +
|[[File:Place value system - Wickets.png|left|frameless|121x121px]][[File:Place value system - Ball outline.png|frameless|70x70px]]
 +
 
 +
Wickets: ______________
 +
 
 +
Ball: _______________
 +
 
 +
Color what is less in red.
 +
|Which animal has more legs? Tick one.
 +
[[File:Place value system - ladybug.png|frameless|82x82px]]      [[File:Place value system - centipede.png|frameless|180x180px]]
 +
 
 +
|}
 +
 
 +
=== Activity: Farm Fresh ===
 +
Number Exercise – Count and Compare Numbers
 +
 
 +
Count and write the number. Tick whichever is more.
 +
 
 +
[[File:Place value system - Farm Activity.PNG|frameless|594x594px]]
 +
 
 +
=== Numbers - More or Less (By 1s, 2s, 5s) ===
 +
Write the numbers in sequence. By how many more or less are the numbers in the boxes.
 +
 
 +
[[File:Place value system - Catterpillar 1.png|frameless]]  [[File:Place value system - Catterpillar 2.png|frameless]]
 +
 
 +
[[File:Place value system - Number Flowers 1.png|frameless|270x270px]]    [[File:Place value system - Number Flowers 2.png|frameless|286x286px]]
 +
 
 +
[[File:Place value system - Steps.png|frameless]]
 +
 
 +
=== Activity: Find the counting pattern ===
 +
Number Exercise: Counting by 2s, 3s and 5s
 +
 
 +
Find or write the given skip counting pattern.
 +
 
 +
[[File:Place value system - Number in Shapes 5.png|frameless|500x500px]]
 +
 
 +
[[File:Place value system - Number in Shapes 4.png|frameless|500x500px]]
 +
 
 +
[[File:Place value system - Number in Shapes 2.png|frameless|500x500px]]
 +
 
 +
[[File:Place value system - Number in Shapes 1.png|frameless|500x500px]]
   −
== Numbers - More or Less (By 2s) ==
+
[[File:Place value system - Number in Shapes 3.png|frameless|500x500px]]
    
== Ascending and Descending Order of Numbers ==
 
== Ascending and Descending Order of Numbers ==
−
We have seen that numbers have value based on the place in which they are present. Many times, we come across smallest and greatest of a given set of numbers in our activities.  
+
[[File:Place value system - Ganesha outline 1.png|right|frameless|475x475px]]
 +
We have seen that numbers have value based on the place in which they are present. Many times, we come across smallest and greatest of a given set of numbers in our activities.
    
For example, would you like to eat more or less of your favourite dish? Would you like to drink more or less of a cough medicine?
 
For example, would you like to eat more or less of your favourite dish? Would you like to drink more or less of a cough medicine?
   −
Ganesha likes to have more modakas. Help Ganesha choose the order of plates.          
+
Ganesha likes to have more modakas. Help Ganesha choose the order of plates and colour the picture.  
 +
 
 +
There are 6 plates having following number of modakas.
 +
 
 +
[[File:Place_value_system_-_modaka_2.png|frameless|150x150px]] [[File:Place_value_system_-_modaka_1.png|frameless|150x150px]] [[File:Place_value_system_-_modaka_5.png|frameless|150x150px]]
 +
 
 +
[[File:Place_value_system_-_modaka_6.png|frameless|150x150px]]  [[File:Place_value_system_-_modaka_4.png|frameless|150x150px]]  [[File:Place_value_system_-_modaka_3.png|frameless|150x150px]]   
 +
 
 +
[[File:Place value system - ascending numbers.PNG|center|frameless|380x380px]]
 +
Ganesha says  <blockquote>“hmm…  give me the plates having a smaller number of modakas first”. </blockquote>So, how do you choose the order? Find a plate with the smallest number of modakas, then next smaller number and so on…. 
 +
[[File:Place value system - ascending numbers 2.PNG|center|frameless|460x460px]]
 +
<big>'''Ascending Order - numbers increasing in value from smallest to largest'''</big>
 +
[[File:Place value system - Bhima (2).jpg|right|frameless|266x266px]]
 +
Consider Bhima, who eats lots of food. He was also a great cook. He would say, <blockquote>“hmm…  give me the plates having greatest number of modakas first”. </blockquote>Now, how do you choose serve him? You should find a plate with the greatest number of modakas first.
 +
[[File:Place value system - descending numbers.PNG|center|frameless|450x450px]]
 +
'''<big>Descending Order – numbers decreasing in value from largest to smallest.</big>'''
    
== Place-value of Three-Digit Numbers ==
 
== Place-value of Three-Digit Numbers ==
Line 269: Line 619:  
[[File:Child playing football.jpg|thumb|Show Harish's moves on the football field.]]
 
[[File:Child playing football.jpg|thumb|Show Harish's moves on the football field.]]
 
Harish was playing football in his school. He made the following moves with the ball in the field. Count and write the numbers in the squares where the arrow starts and ends. Count according to the spaces moved forward or backwards.    
 
Harish was playing football in his school. He made the following moves with the ball in the field. Count and write the numbers in the squares where the arrow starts and ends. Count according to the spaces moved forward or backwards.    
−
 
+
[[File:Number_table_-_Harish.png|center|frameless|400x400px]]
−
[[File:Number table - Harish.png|frameless|250x250px]]
   
# He moved forward by 5 boxes from ______________ to ____________
 
# He moved forward by 5 boxes from ______________ to ____________
 
# He moved forward by 10 boxes from ____________ to _____________
 
# He moved forward by 10 boxes from ____________ to _____________
Line 280: Line 629:  
Number Exercise – Identify the ones, and tens place of a number.
 
Number Exercise – Identify the ones, and tens place of a number.
   −
[[File:Finding Place-value.PNG|frameless|400x400px]]
+
[[File:Finding Place-value.PNG|frameless|500x500px]]
    
== Activities and Exercises ==
 
== Activities and Exercises ==
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