CH 1 Large Numbers power point presentation

CH 1 LARGE
NUMBERS
Lets Recap
Arrange the following digits of the numbers under their correct place
 8 in the Ten thousands place
 4 in the ones place
 2 in the thousands place
T TH TH H T O
8 2 0 0 4
 6 in the lakhs place
 2 in the hundreds place
 4 in the thousands palce
 3 in the ones place
L T TH TH H T O
6 0 4 2 0 3
Read the
number in
words

7 and 8 digit numbers
Indian and International systems of numerations
Comparison of Indian and International system of numerations
Comparisons of numbers
Forming numbers
Rounding off numbers
Roman numerals
What will be learning

DIGIT LARGEST
NUMBER
SMALLEST
NUMBER
1 9 1
2 99 10
3 999 100
4 9999 1000
5 99999 10000
6 999999 100000
7 9999999 1000000
8 99999999 10000000
9 999999999 100000000
10 9999999999 1000000000

INDIAN SYSTEM OF NUMERATION
CRORES LAKHS THOUSANDS ONES
Ten
Crores
Crores Ten
Lakhs
Lakhs Ten
Thousands
Thousands Hundred Tens Ones
100000000 10000000 1000000 100000 10000 1000 100 10 1
6 5 0 4 5 4 3 6
3 4 6 7 3 8 6 5 0
9 8 9 0 0 0 5 0 4
6,50,45,436 – Six crore fifty lakh forty five thousand four hundred thirty six
For Indian system
commas are placed as
3,2,2,2

Write the number in words
• 79,86,590
Seventy-nine lakh eighty-six thousand five hundred ninety
• 4,97,01,062
Four crore ninety-seven lakh one thousand sixty-two
• 7,20,32,629
Seven crore twenty lakh thirty-two thousand six hundred twenty-nine
• 85,20,600
Eighty five lakh twenty thousand six hundred

INTERANTIONAL PLACE VALUE SYSTEM
5,675,234 – Five million six hundred seventy five thousand two hundred
thirty four
Commas are
placed as
3,3,3

Write in words
• 5,014,893
Five million fourteen thousand eight hundred ninety-three
• 14,002,007
Fourteen million two thousand seven
• 16,532,107
Sixteen million five hundred thirty-two thousand one hundred seven
• 58,961,002
Fifty-eight million nine hundred sixty-one thousand two

Crores
(C)
Ten
Lakhs
(TL)
Lakhs
(L)
Ten
Thousands
(T th)
Thousands
(th)
Hundreds
(H)
Tens
(T)
Ones
(0)
Indian
system
Ten
Millions
(TM)
Millions
(M)
Hundred
Thousands
(HT)
Ten
Thousands
(T th)
Thousands
(th)
Hundreds
(H)
Tens
(T)
Ones
(0)
International
System
COMPARISON BETWEEN INDIAN AND INTERNALTIONAL SYSTEM
Same
Different

PLACE VALUE AND FACE VALUE
The place value of a digit depends on the position of the digit in the place value chart ,where as
the face value of a digit is the value of the digit itself
 Find the place value and face value of the underlined digits
Number Place Value Face value
51,23,489 3000 3
58,79,066 800000 8
8,51,43,601 600 6
8,34,09,117 9000 9

EXPANDED FORM AND STANDARD FORM
The expanded form is a way of expressing a number as the sum of the place value of
all the digits.
Eg: 5,45,567 = 500000 + 40000 + 5000 + 500 + 60 + 7
And when we write any number in figures, it is known as standard form
Eg. 60000 +2000 +400 + 30 +2 = 62,432
Write in expanded form
a. 3,78,41,629
3,00,00,000 + 70,00,000 + 8,00,000 + 40,000 + 1,000 + 600 + 20 + 9
b. 7,59,83,428
7,00,00,000 + 50,00,000 + 9,00,000 + 80,000 + 3,000 + 400 + 20 + 8

Write in standard form
a. 2,00,00,000 + 80,00,000 + 3,00,000 +10,000 + 8,000 + 700 + 60
= 2,83,18,760
b. 4 x 1,00,00,000 + 3 x10,00,000 + 1 x 10
= 4, 00,00,000 + 30,00,000 + 10
= 4,30,00,010
c. 60,00,000 + 5,00,000 + 3,000 + 800 +10
= 65,03,810

COMPARISON OF NUMBERS
RULE 1 : When comparing two numbers , first look for the number of digits in both.
The number having more number of digits is larger.
eg. 5,43,17,589 and 89,74,567
5,43,17,589 > 89,74,567
RULE 2 : When the number of digits are the same ,then we start comparing the digits
starting from the left to the right.
eg. 4,97,68,458 and 4,98,63,279
4,97,68,458 < 4,98,63,279
Same rules to be followed for arranging the number in Ascending and Descending order

Write the following numbers in ascending order.
a. 3,49,86,241 ; 35,79,840 ; 4,16,890 ; 4 ,16 ,84, 312
4,16,890 < 35,79,840 < 3,49,86,241 < 4,16,84,312
b. 8,46,89,415 ; 84,00,160 ; 94 ,18,762 ; 1,65,42,000
79,74,231< 5,97,00,024 < 8,46,89,415 < 8,64,11,027
Write the following numbers in descending order.
c. 4,95,86,312 ; 9,87,21,684 ; 5,19,48,316 ; 9,84,16,822
9,87,21,684 > 9,84,16,822 > 5,19,48,316 > 4,95,86,312
b. 20,14,832 ; 8,65,17,890 ; 66,41,748 ; 9,64,87,196
9,64,87,196 > 8,65,17,890 > 66,41,748 > 20,14,832

Forming Numbers
In order to form the largest number from the given digits, we arrange them in the descending
order. If the smallest number is required to be formed, then we arrange the given digits in
ascending order
Digit Largest Smallest
1,8,9,7,3,0,4 98,74,310 10,34,789
9,1,0,4,6,3,5,2 9,65,43,210 1,02,34,569
2,1,7,9,0,3,6,4 9,76,43,210, 1,02,34,679
• Form the number by repeating the given digits
a. Smallest 7 digit number
i. 4,6,0,3,2
= 20,00,346
ii. 1,2,5,9,7 = 11,12,579
b. Largest 8 digit number
i. 2,1,0,5,7
= 7,77,75,210
ii. 9,6,5,1,2
= 9,99,96,521

SUCCESSOR AND PREDECESSOR
The number that comes just after the given number is called the successor of that number
Or
successor = number + 1
The number that comes just before the given number is called the predecessor of that number
Or
Predecessor = number - 1
Numbers Successor Predecessor
34,65,102 34,65,103 34,65,101
98,23,654 98,23,655 98,23,653
9,73,69,100 9,73,69,101 9,73,69,099
34,12,000 34,12,001 34,11,999
9,00,15,000 9,00,15,001 9,00,14,999

ROUNDING OFF NUMBERS
let me tell the rules to you.
For the digits five through nine,
Round that number up the line.
For the digits four and less,
Round that number down, oh yes!
Round up! Five through nine!
Round down! Four and less!
Round up! Five through nine!
Round down! Four and less!
 Nearest 10’s
a. 41,389
Nearest to Ten’s place = 4 1,3 8 9
= 41,390 (more than 5 so add 1 to the tens place and ones place will be replaced by zero)
b. 9 ,74 , 171
Nearest to Ten’s place = 9 , 7 4 , 1 7 1
= 9,74,170 (less than 5 replace the ones place by zero)

c. 85 ,19 , 476
Nearest to Ten’s place = 85 ,19 , 476 = 85,19,480 (more than 5 so add 1 to the tens place
and ones place will be replaced by zero)
Nearest to 100’s
a. 41,389
= 41,389
= 41,400 (more than 5 ,tens and ones place will be replaced by zeroes )
b. 9 ,74 , 171
= 9 ,74 , 171
= 9 ,74 , 200 (more than 5 ,tens and ones place will be replaced by zeroes )
c. 85 ,19 , 476
= 85 ,19 , 436
= 85 ,19 , 400 (less than 5, tens and ones place will be replaced by zeroes )

Nearest 1000’s
a. 41,389
= 41,389
= 41,000 ( less than 5, replaced ones,tens and hundreds place by zeroes)
b. 9 ,74 , 171
= 9 ,74,171
= 9 ,74,000 ( less than 5, replaced ones,tens and hundreds place by zeroes)
c.7,81,942
= 7,81,942
= 7,82,000 (more than 5,replaced ones,tens and hundreds place by zeroes.

ROMAN NUMERALS
Rules for writing numbers in Roman numerals are as follows:
 If a symbol is repeated, its value is added as many times as it occurs.
eg. II = 2 and XXX = 30
 If a smaller numeral follows a larger numeral, the numbers are added.
eg. VI = 5 + 1 = 6 , XI = 10 + 1 = 11
 If a smaller numeral precedes a larger numeral, the numbers are subtracted.
eg. IV = 5-1 = 4 , IX = 10 -1 = 9
 A symbol is not repeated more than three times.
1 5 10 50 100 500 1000
I V X L C D M
7 basic symbols for writing numerals

 V , L and D are never repeated or subtracted.
 When a smaller numeral is written in between two large numeral , it is always
subtracted from the larger numeral just after it.
eg. XIX = 10 +(10- 1) = 19
IMPORTANT
I can be subtracted from V and X only
X can be subtracted from L and c only.
C can be subtracted from D and M only

 Write the Roman numeral for the following
a. 94 = 90 + 4
= XCIV
b. 134 = 100 + 30 + 4
= CXXXIV
c. 171 = 100 + 70 + 1
= CLXXI
d.2012 = 2000 + 10 + 2
= MMXII
e. 3521 = 3000 + 500 + 20 + 1
=MMMDXXI
 Write the Hindu Arabic numeral for the following.
a. XLIX
= (50 –10) + 9 = 49
b.MDCLI
= 1000 + 500 + 100 + 50 + 1 = 1651
c.DCCCLIII
= 500 + 100 + 100 + 100 + 50 + 3
= 853
d.MDLXII
= 1000 + 500 + 50 + 10 + 2 = 1562

Solve the following
a. CDIII + CMXXIX
=403 + 929
= 1332
= MCCCXXXII
b. LXIX – XVII
= 69 − 17
= 52
= LII
c. MXXIV – DCCXXIV
= 1024 − 724
= 300
= CCC

CH 1 Large Numbers power point presentation

More Related Content

Similar to CH 1 Large Numbers power point presentation

Recently uploaded

CH 1 Large Numbers power point presentation