Ch. 01. Knowing Our Numbers
लेखक
ॐ जितेन्द्र सिंह तोमर
M.A., B.Ed., DNYS, MASSCOM.
10/4/10/2/2022
1.1 Number & Their Names (Numeral)
One to Hundred
100 to 999
1000 to 9999
100000 to 999999
1000000 to 9999999
10000000 to 99999999
1.2 comparing Numbers
smallest & biggest single digit number is
SDN 0 9
DDN 10 99
TDN 1000 999
FDN 10000 9999
FIDN 100000 99999
SDN 1000000 999999
EDN 10000000 99999999
NDN 100000000 999999999
1.3 Smallest Digit & Biggest Digit
1.4 Making of Numbers
DDN
TDN
FDN
MuDN
Vinjeet Maths
What is ?
1. What is 10 – 1 =?
2. What is 100 – 1 =?
3. What is 10,000 – 1 =?
4. What is 1,00,000 – 1 =?
5. What is 1,00,00,000 – 1 =?
6. What is 9 + 1 =?
7. What is 99 + 1 =?
8. What is 9,999 + 1 =?
9. What is 99,999 + 1 =?
10. What is 99,99,999 + 1 =?
1.5 Ascending (Increasing) order and Descending (Decreasing) order
Ascending order Ascending order means arrangement from the smallest to the greatest.
Descending order Descending order means arrangement from the greatest to the smallest.
1.6 Place value (Actual Value of digit of givin place) and Face value (Name of digit only)
1.7 Reading and Writing large Number of two Lakhs and Crores
a) In Indian System (Indian System
of Numeration)
1 One or Once
10 Ten or Tens
100 Hundred or Hundreds
1,000 Thousand
10,000 Ten Thousand
1,00,000 Lakes
10,00,000 Ten Lakhs
1,00,00,000 Crores
10,00,00,000 Ten Crores
b) In International System (International System of Numeration)
1 One or Once
10 Ten or Tens
100 Hundred
1,000 Thousand
10,000 Ten Thousand
100,000 Hundred Thousand
1,000,000 Million
10,000,000 Ten Million
100,000,000 Hundred Million
1,000,000,000 Billion
10,000,000,000 Ten Billion
100,000,000,000 Hundred Billion
1.8 Expansion (Expanding) of Digits
1.9 Estimating or Approximating or Rounding of the number
* Number 5 is equidistant from both 0 and 10; it is a common practice to round it off as 10.
* Number 6, 7, 8, 9 are nearer to 10, so, we round them off as 10.
Thus Number 0, 1, 2, 3 and 4 are rounded off as 0 and 5, 6, 7, 8 and 9 are rounded off as 10.
1.10 Small and Large Numbers in Practice
Units may be metre, litre and gram
Small Units
Unit > Deci-Unit > Centi-Unit > Milli-Unit
(i) 1 Unit = 10 Deci-Unit = 100 Centi-Unit = 1000 Milli-Unit
(ii) 1 Deci-Unit = 10 Centi-Unit = 100 Milli-Unit
(iii) 1 Centi-Unit = 10 Milli-Unit
Big Units
Killo-Unit > Hecto-Unit > Deca-Unit > Unit
(i) 1 Killo-Unit = 10 Hecto-Unit = 100 Deca-Unit = 1000 Unit
(ii) 1 Hecto-Unit = 10 Deca-Unit = 100 Unit
(iii) 1 Deca-Unit = 10 Unit
1.11 Romon Numbers
1 I
2 II
3 III
4 IV
5 V
6 VI
7 VII
8 VIII
9 IX
10 X
20 XX
30 XXX
40 XL
50 L
60 LX
70 LXX
80 LXXX
90 XC
100 C
200 CC
300 CCC
400 CM
500 M
600 MC
700 MCC
800 MCCC
900 CD
1000 D
Chapter-1
Knowing Our Numbers
Points to Remember:
Natural Numbers:
Counting numbers are called natural numbers 1, 2, 3,... are called natural numbers. I is the smallest natural number.
Place value:
The place value of a digit depends upon its position in the number. For eg.:- The place value of 5 in 4567 is 500.
Face value:
Each digit has its fixed face value, independent of its place in the number.
For e.g.:- The face value of 5 in 4567 is 5.
Rounding off the number to the nearest 10, 100, 1000 etc.
* 1, 2, 3, 4 are numbers nearer to 0 than 10, so they are rounded off to 0.
* 6, 7, 8, 9 are numbers nearer to 10 than 0, so they are rounded off to 10.
* Number 5 is equidistant from 0 and 10, but it is rounded off to 10.
For example:
Round off 86512 to nearest:
1. Tens 86510
2. Hundreds 86500
3. Thousands 87000
ROMAN NUMERALS:
Roman Numerals are expressed by letters of the English alphabet.
I V X L C D M
1 5 10 50 100 500 1000
TRICK TO REMEMBER:
My Dear Cow, Loves Xtra Vegetables Immensely.
M(1,000), D(500), C(100), L(50), X(10), V(5), 1(1)
USE OF BRACKETS:
Brackets are symbols used in pairs to group things together.
Types of Brackets
Parentheses or round brackets ()
Square brackets
[1
Angled brackets
Braces or curly brackets
SEE THE DIFFERENCE
(3+2)x(6-4)
-(5) × (2)
3+(2x6)-4
-5x2
-10
-3+12-4
- 11
QUESTIONS:
1. Make the greatest 5-digit number, using the digits 6, 2,5,8,4 only once.
2. Find the product of the place value of two 3's in 534370.
3. Make the smallest 5-digit number, using the digits 7, 9,3,8,5 only once. 4. Find the sum of the place values of two 5's in 75450.
5. Find the value of:45 x (14-9)
6. Write 24 in Roman numerals. 7. How many thousands are there in two lakhs?
8. Find the value of: 80+ (15 * 4)
9. A student Ajit's height is 1m 29 cm. Find his height in cm.
18. Find the number 7-1-5-1000-4-100-8-18 11. Find the difference between smallest 4-digit number and largest 4-digt
11. Simplify: 48-5-4-224-6)-7
15. Ravi had 550. He gave 5350 to Garima and 15,158 so Ramech. How
16. Prakash bays 19 notebooks and 20 pens. If the cost of une notebook is 0.35
and cost of ane pen be 10, how mach money did he spend?
17. Find the sum of smallest 3-digit number and largest 4-digit number.
18. How many milliliters make a liter
19. How many centimetres make 18 metres?
20. A box contains 40000 toffees, each foffee weighs 5gm What is the total
weight of the bes in kg?
21. There are 48 pages in a notebook. How many pages are there in 28 such
notebooks?
22. Arrange in ascending order 4375, 4739, 4397,4793
23. Arrange in descending order
43251, 43521, 43125,43152
14. Arrange in ascending order
27643, 26743, 27634, 24736
25. Arrange in descending order 1548, 1584, 1854, 1845
26. Make the largest 4-digit number wing the digits 1.5.7.0
17. Take two digits 0 and 1. Make the greatest 4-digit number asing both the
digits equal number of times.
28. Take two digits 0 and 1. Make the smallest 4-digit number using both the digits equal number of times
29. Write in Roman numerals 80
30. The monthly salary of Rohit is 20975 and that of Reena is 15875. What is
the difference between their monthly salaries?
31. Manish multiplied 100 by 39 instead of multiplying by 79 How much was his
answer greater than the correct answer?
32. Sangeeta types 25 pages per day. How many pages will she type in the month
of November?
33. How many times the digit 0 comes in 10 crores?
34. Anita's age is 48 years. How is her age represented in Roman system?
35. How many numbers are there containing 3-digits? 36. The estimated value of 5784-437 is?
37. Write the number for the expanded form
210000+10+5×1
38. The distance between Delhi and Agra is 233 km. What is the distance in
metres?
39. Keeping the place of 5 unchanged in the number 537068, find the smallest
sumber obtained by rearranging other digits. 40. Estimate the quotient to the nearest tens: 74 divided by 8.
Answers:
1) 86542. 21) 960 pages
2) 9000000. 22) 4379<4397<44739<4793<35789
43521-43251-43152-43125
4
24.
24734-26743-27634-27643
A
225
25.
1854-1545-1584-1548
XXIV
7530
200
27,
148
129cm
29,
10.
75480
30.
5100
11.
8999
31.
1000
12.
420 seconds
32.
750
13.
31
3.3.
& times
14.
6100 m
34.
XLVIII
15.
55000
35.
900
16.
T 550
36.
5400
17) 10099 37). 20085
18) 1000 ml 38). 233000 m
19) 1800 cm 39) 503678
20) 200 kg 40). 10
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