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Submathematics
Topics
Indian System of Numeration
International System of Numeration
Word problems based on basic
operations (+,-,x,/)
Estimation
Number
7,34,543
four
TL
---
L
7
TTH
3
TH
4
H
5
T
4
O
3
Number Name
seven lakh thirty
thousand five
hundred
forty three
32,75,829
seventy
3
2
7
5
8
2
9
thirty two lakh
five thousand
eight
hundred twenty
nine
Number
M
TH
HM TM OM
99,985,102
2
Number name
Ninety nine million nine hundred eighty five thousand one hundred
two
9
9
9
8
5
H T O
----
HTH TTH OTH
1
0
A merchant had Rs 78,592 with her .She placed an order for purchasing 40
radio sets
at Rs 1200 each .How much money will remain with her after the purchase
?
Total money merchant had = Rs 78,592
Cost of 1 radio set = Rs 1200
Cost of 40 radio sets = Rs 1200 x 40
Money left with her = 78,592 - 48,000
= 30,592
A vessel has 4 liters and 500 ml of curd .In how many glasses ,
each of 25 ml capacity , can it be filled ?
Total capacity of vessel = 4 litres 500 ml
4500 ml
Capacity of 1 glass = 25 ml
No. of glasses = Total capacity
Capacity of 1 glass
= 4500 ml
25 ml
= 180 glasses
Estimating to the nearest tens by rounding off
17
17 lies between 10 & 20 , It is closer to 20.50 it is rounded off to
20
Estimating to the nearest hundreds by rounding off
410
410 lies between 400 & 500 . It is closer to 400 , so it is rounded
off to 400
Estimating to the nearest thousand by rounding off
7500
It lies between 7000 & 8000 ,It is equidistant from both 7000 &
8000 ,It is a common practice to round it off as 8000
•
•
•
•
•
Estimate the following using general rule
12,904 + 2,888
12,904 rounds off to = 13000
2,888 rounds off to = +3000
Estimated sum
= 16000
•
•
•
•
28,292 – 21,496
28,292 rounds off to = 30,000
21,496 rounds off to = -20,000
Estimated difference = 10,000
•
•
1291 x 592
1291 rounds off to = 1,000
592 rounds off to = x 600
Estimated product = 6,00,000
1. The smallest 5-digit number is
2.
3.
a.
4.
a.
Ten lakh b. one lakh c. ten thousand d.one thousand
The greatest 4-digit number that can be formed using digits 5,0 ,7 is
7005 b. 7705 c.7507 d. 7750
One crore is equivalent to
100 lakh b. 100 thousand c 1million d 10 lakh
1 hundred million is equal to
10 crore b 1 crore c. 10 lakh d. 100 lakh
5 . Estimate 2658- 231 to nearest tens
A . 2500 b 2430 c. 2520 d. 2560
Topics
Definition
Predecessor
Successor
Properties of whole numbers
Whole numbers The natural numbers along with zero from the collection of
whole numbers
Predecessor –
The number which comes before the given number is called
Predecessor
Ex – Predecessor of 59 is 58
Successor –
The number which comes after the given number is called
successor
100 is the successor of 99
Closure property –
Whole numbers are closed under addition and under
multiplication
7 + 8 = 15 , a whole number
5 x 5 = 25 , a whole number
7 – 8 = -1 , is not a whole number
5 / 7 = 5/7, is not a whole number
Commutative Property –
We can add two whole numbers in any order . WE can
multiply two whole numbers in any order changing of order
does not affect the result thus, addition & multiplication are
commutative for whole numbers.
Associative Property –
Associativity of addition and multiplication
(2 + 3) +4 = 2 + ( 3 + 4)
5 +4 =9 = 7+2 =9
( 2 x 3 ) x 4 = 2x ( 3 x 4 )
6x4
= 2 x 12
24
= 24
Distributive Property –
Distributive of multiplication over addition
4x(5+8) = 4x5 + 4x8
4 x 13
=
20 + 32
52
=
52
Solve the following by suiteble rearrangement
1962 +453 + 1538 +647
( 1962 + 1538 ) + ( 453 + 647 )
3500 + 1100
= 4600
125 x 40 x 8 x 25
( 125 x 8 ) x ( 40 x 25 )
1000 x 1000
= 10,00,000
Find the value
54279 x 92 + 8 x 54279
Using Distributive property
54279 x ( 92 + 8 )
54279 x 100
=5427900
Find the product using suitable properties
738 x 103
738 x ( 100 + 3 )
Using Distributive Property
738 x 100 + 738 x 3
73800 + 2214
=76014
MULTIPLE CHOICE QUESTION
1. The smallest natural number is
a. 0 b. not defined c. 1 d. does not exist
2. Which is the largest whole number
a 99999 b. 99999 c.1 billion d. does not exist
3. Predecessor of smallest four digit number is
a. 9999 b. 10001 c. 999 d. 1000
4. Do all the whole numbers satisfy the relation a x1 = 1 x a
a.yes b. no c. most of them d none of them
5.
579 lies to the right of
a. 972 b. 795 c. 702 d 479