Understanding Place Value in Numbers
Introduction to the concept of place value in numbers, covering topics such as the value of each digit, place value calculation, successors, predecessors, period division, ascending/descending order, and the importance of numbers in everyday life. Explained through examples and visuals, this educational material aims to enhance understanding of the fundamental principles of numerical representation.
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INTRODUCTION Place The value of each digit depends on its position or place in the number. Every digit has a place. For example.3,245 The place of digit 4 is tens. Place Value It is the value of a digit formed by multiplying its place and face value. For example:- 3,245 The place value of digit 4 is 40. Place value of a digit = ( Its face value) (Value of the place) Successor A number which comes after a given number is itssuccessor. Successor = The number + 1 Predecessor A number which comes before a given number is its predecessor. Place The value of each digit depends on its position or place in the number. Every digit has a place. For example.3,245 The place of digit 4 is tens. Place Value It is the value of a digit formed by multiplying its place and face value. For example. 3,245 The place value of digit 4 is 40. Place value of a digit = ( Its face value) (Value of the place) Successor A number which comes after a given number is its successor. Successor = The number + 1 Predecessor A number which comes before a given number is its predecessor. Predecessor= The number - 1 The period of ones has three places Ones, Tens and Hundreds The period of Thousand has two places-Thousands and TenThousands Ascending order Arranging the numbers from smallest to greatest. Descending order Arranging the numbers from greatest to smallest. Predecessor= The number - 1 The period of ones has three places Ones, Tens and Hundreds The period of Thousand has two places-Thousands and Ten Thousands Ascending order Arranging the numbers from smallest to greatest. Descending order Arranging the numbers from greatest to smallest.
IMPORTANCE OF NUMBERS Q 1 ) Are you able to read the calendar ? Q 2 ) Are you able to buy things from the ice-cream vendor YES / NO YES / NO
Understanding Place Value 1 ten is 10 times 1 one 1 10
Understanding Place Value 1 thousand is 10 times 1 hundred 1,000 100
Numbers are divided into periods Thousands Ones 6 ,492 Periods are separated by commas.
Place Value/Face Value Each digit in a number has a place value and a face value. In the number 4856, the digit 4 is in the thousands place value. Meaning the place value is thousands. The number you see (4) is the face value. Face value is 4 4856 Place value is thousands
PLACE VALUE Look at the place value chart Thousands ( TH ) Hundreds (H) T ens (T) Ones (O) 1000 100 1O 1 Consider the numerals 1982 and 9128 Arrange them in the place value chart. Thousands ( TH ) Hundreds (H) T ens (T) Ones (O) 1000 1 9 100 8 1 10 9 2 1 2 8 1892 9128
NUMBER NAME AND NUMERAL Number name To write a number in words e.g number name for 4129 is FOUR THOUSAND ONE HUNDRED TWENTY NINE Numeral To write a number in figures e.g numeral for eight thousand ninety nine is 8099
EXPANDEDFORM We expand a number in terms of its place value. Expanded form of a number is written in two ways ------ 5318 = 5 thousands + 3 hundreds + 1 tens+ 8 ones = 5000 + 300 + 10 + 8
SUCCESSOR AND PREDECESSOR IT IS JUST ANOTHER WAY OF SAYING WHAT COMES AFTER AND BEFORE.
Number beyond 9,99,999 We know that The largest 6 digit number is-9,99,999 Let us see what happens when we add 1 to 9,99,999 10,00,000 is read as Ten lakh. It belongs to the period lakh. *While reading the numbers, all the digits of a period and the name of the period (except one) are read together. Let us read some 7digit Numbers Let us read some 7digit Numbers 39,84,000 39,84,000- -Thirty nine Thirty nine lakh lakh eighty four thousand eighty four thousand 18,00,046 18,00,046- -Eighteen Eighteen lakh lakh forty six . forty six . 99,99,999 99,99,999- -Ninety nine Ninety nine lakh lakh ninety nine thousand nine ninety nine thousand nine hundred ninety nine. hundred ninety nine.
INDIAN Period Lakhs Thousand Ones Ten Thousand Thousa nd Place Ten Lakhs Lakhs Hundre ds Tens Ones TL L TTh Th H T O Forexample: 99,51,024 can beplaced inplacevaluechartas TL L TTh Th H T O 9 9 5 1 0 2 4
KNOW YOUR KNOWLEDGE Write the number names 39,84,000=Thirty nine lakh eighty four thousand 18,00,045=___________________. 45,67,864=___________________. 82,52,999=___________________. 99,99,999=___________________.
Introducing one crore We know that the largest 7-digit number is 99,99,999 Let us see what happens when we add 1 to 99,99,999 Now we enter to the number 1,00,00,000 1,00,00,000 is red as one crore, it belongs to the period, Crore Now let us read some 8-digit numbers. Ex- 4,00,00,000 four crore 7,57,55,941- seven crore fifty seven lakh fifty five thousand nine hundred forty one. 9,99,99,999- is the greatest eight digit number
Introducing ten crore What is the largest 8-digit Number? 9,99,99,999 What happens when we add 1 to 9,99,99,999: 10,00,00,000 The smallest 9-digit number is 10,00,00,000(ten crore). Let us remember these relationships 10 ones =1 ten 10 hundreds=1 thousand 10 ten thousands=1 lakh 10 ten lakhs=1 crore 10 tens= 1 hundred 10 thousands= 1 ten thousand 10 lakhs =1 ten lakh 10 crores =1 ten crore
Assess yourself Write the numerals using commas between periods Five crore thirty lakh sixteen thousand nineteen=5,30,16,019 Three crore one lakh forty seven thousand two hundred=_______. Nine crore nine=_____________. Six crore twenty thousand twenty=__________. Eight crore thirteen lakh five=_______________
INTERNATIONAL PLACE VALUE Perio d Million Thousand Ones Place Ten Million millio n Hundre d Thousa nd Ten Thous and Thousa nd Hundr eds Tens Ones TM M L TTh Th H T O Forexample: 96743682 can beplaced inplacevaluechartas TM M HTh TTh Th H T O 9 6 7 4 3 6 8 2
POINTS TO REMEMBER Separate the periods using comas between them. Read all the digits in the same period together and name the period along with them. Nine places of the nine digit number are group into three periods as ones, thousands and millions Some relationship 100 thousands=1 lakhs 10 lakhs = 1 million 10 millions = 1 crore
PRACTICE FILL UP THE FOLLOWING BLANKS 1)1000 = 2)9Thousands + 9hundreds = 3)Greatest 4-digit number without Repeating the digits _________ 4)The difference between the place values of digits 8 and 6 in 4682 is 5)Successor of successor of smallest 3-digit number hundreds
PRACTICE 6)When digits2,4,7,9 are arranged in descending order, which number will you get? 7)Compare the following :- 1999 1000+999 Two thousand three hundred five 2350 Greatest 3-digit number Smallest 3-digit number 3000+40+600+9 8)The predecessor of 3492 is 3649
COMPARISON OF NUMBERS In order to compare two numbers, we adopt the following rulers:- RULE 1:- The number with less digits is less than the number with more digits. RULE 2:- Suppose we have to compare two numbers having the same numbers of digits than we proceed as under Step 1- First compare the digits at the leftmost place in both the numbers. Step 2- If they are equal in value then compare the second digits from the left. Step 3- if the second digits from the left are equal then compare the third digits from the left. Step 4- continue until you come across unequal digits at the corresponding places. Clearly, the number with greater such digit is the greater of thetwo.
Eg.1 Which is greater: 24576813 or9897686? Sol.- A number with more digits is greater so, 24576813>9897686 Eg.2- which is smaller: 1003467 or987965? Sol.- A number with less digits is smaller so, 1003467<9897965 Eg.3- Arrange the following in ascendingorder: 3763214, 18340217, 984671, 3790423 Sol.- 984671<3763214<3790423<18340217 Eg.4- Arrange the following in descendingorder: 63872604, 4965328, 63890503, 5023145 Sol.- 63890503>63872604>5023145>4965328
Comparison Comparison of numbers of numbers International International place place Introducing ten Introducing ten crore crore Introducing one Introducing one crore crore Numbers beyond Numbers beyond 9,99,999 9,99,999 Numbers up to Numbers up to 99,99,99,999value 99,99,99,999value Importance of Importance of numbers numbers Introduction Introduction Indian place Indian place value chart value chart Know your Know your knowledge knowledge Place value & Place value & Face value Face value Number name Number name & numeral & numeral Expanded form Expanded form
BE A NUMBER GENIUS Thank you
