Place Value in Numbers
NUMBERS
UPTO
99
,
99
,
99
,
999
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
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
Ten
Thousands
Ascending order
–
Arranging the numbers
from
smallest
to
greatest.
Descending order
–
Arranging
the
numbers from greatest
to
smallest.
P
l
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+
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T
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-
1
The period
of
‘ones’ has three places –Ones,
Tens
and
Hundreds
T
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p
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r
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o
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o
f
‘
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t
.
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
1
ten
is
10 times
1
one
10
1
1,000
100
1
thousand is 10
times
1
hundred
6
,492
Thousands
Ones
Periods are separated
by
commas.
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.
4856
Face
value
is
4
Place value
is
thousands
Look at the place
value
chart
Consider
the
numerals 1982 and 9128 Arrange them in the place
value
chart.
18
9
2
91
2
8
▪
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
EXPANDED
FORM
We
expand
a
number in
terms
of
its
place
value. Expanded form
of a
n
u
m
b
er
is
w
r
i
t
t
en
in
t
w
o
w
a
ys
--
-
---
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.
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.
L
e
t
u
s
r
e
a
d
s
o
m
e
7
d
i
g
i
t
N
u
m
b
e
r
s
39,84,000-
Thirty nine lakh eighty four thousand
18,00,046-
Eighteen lakh forty six .
99,99,999-
Ninety nine lakh ninety nine thousand nine
hundred ninety nine.
INDIAN
For
example
:
99,51,024
can
be
placed
in
place
value
chart
as
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=___________________.
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 one 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
Introducing ten crore
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=_______________
Assess yourself
For
example
:
96743682
can
be
placed
in
place
value
chart
as
INTERNATIONAL PLACE VALUE
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
POINTS TO REMEMBER
P
R
A
C
T
I
C
E
➢
FILL
UP
THE
FOLLOWING
BLANKS
– 1)1000
=
hundreds
2)9Thousands
+
9hundreds
=
3)Greatest
4-digit
number
without
R
epe
ating
th
e
digits
_________
4)
The
difference
between the place
values of digits
‘8’ and ‘6’
in
4682
is
5)
Succes
sor of
su
ccessor
of
smallest 3-digit number
is
_____
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
3649
8)The predecessor of
3492
is
P
R
A
C
T
I
C
E
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
the
two.
COMPARISON OF NUMBERS
Eg.
1
W
hich is
greater: 24576813 or
9897686?
Sol
.-
A
number
with more
digits
is
greater
so,
24576813>9897686
Eg.2
- which is
smaller:
1003467 or
987965?
Sol
.-
A
number
with
less digits
is
smaller
so,
1003467<9897965
Eg.3
- Arrange the
following
in ascending
order:
3763214, 18340217, 984671,
3790423
Sol
.-
984671<3763214<3790423<18340217
Eg.4
- Arrange the
following
in descending
order:
63872604,
4965328,
63890503,
5023145
Sol
.-
63890503>63872604>5023145>4965328
P
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👍
Thank you
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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Presentation Transcript
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
