Qureshi University, Advanced courses, via cutting edge technology, News, Breaking News | Latest News And Media | Current News

admin@qureshiuniversity.com

Admissions | Accreditation | A to Z Degree Fields | Booksellers | Catalog | Colleges | Contact Us | Continents/States/Districts | Contracts | Distance Education | Emergency | Examinations | Forms | Grants | Hostels | Honorary Doctorate degree | Human Services | Investment | Instructors | Login | Lecture | Librarians | Membership | Observers | Professional Examinations | Programs | Progress Report | Recommendations | Research Grants | Researchers | Students login | School | Search | Seminar | Study Center/Centre | Sponsorship | Tutoring | Thesis | Universities | Work counseling

Mathematics
What is mathematics?

Mathematics is the study of quantity, structure, space, and change.

What is the difference between math, maths, and mathematics?

Math is a synonym of mathematics.
Maths is a primarily British term for math.

What are the subdivisions of mathematics?

Mathematics can be subdivided broadly into the study of quantity, structure, space, and change (i.e., arithmetic, algebra, geometry, and mathematical analysis).
1. Arithmetic
2. Algebra
3. Geometry
4. Mathematical analysis
5. Other
There are at least 1,000 mathematics topics, and each fits into one or more of these mathematical subdivisions.

Where is math useful?

1. Everyday life
2. Natural science
3. Engineering
4. Medicine
5. Social sciences
6. Applied mathematics
7. Computer Science
8. Cryptography
9. Economics and Mathematics
10. Other

What is a number?
A number is a mathematical object used to count, label, and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.


Counting Chart: Numbers 1 to 100
1 one
2 two
3 three
4 four
5 five
6 six
7 seven
8 eight
9 nine
10 ten
11 eleven
12 twelve
13 thirteen
14 fourteen
15 fifteen
16 sixteen
17 seventeen
18 eighteen
19 nineteen
20 twenty
21 twenty- one
22 twenty- two
23 twenty- three
24 twenty- four
25 twenty- five
26 twenty- six
27 twenty- seven
28 twenty- eight
29 twenty- nine
30 thirty
31 thirty- one
32 thirty- two
33 thirty- three
34 thirty- four
35 thirty- five
36 thirty- six
37 thirty- seven
38 thirty- eight
39 thirty- nine
40 forty
41 forty- one
42 forty- two
43 forty- three
44 forty- four
45 forty- five
46 forty- six
47 forty- seven
48 forty- eight
49 forty- nine
50 fifty
51 fifty- one
52 fifty- two
53 fifty- three
54 fifty- four
55 fifty- five
56 fifty- six
57 fifty- seven
58 fifty- eight
59 fifty- nine
60 sixty
61 sixty- one
62 sixty- two
63 sixty- three
64 sixty- four
65 sixty- five
66 sixty- six
67 sixty- seven
68 sixty- eight
69 sixty- nine
70 seventy
71 seventy- one
72 seventy- two
73 seventy- three
74 seventy- four
75 seventy- five
76 seventy- six
77 seventy- seven
78 seventy- eight
79 seventy- nine
80 eighty
81 eighty- one
82 eighty- two
83 eighty- three
84 eighty- four
85 eighty- five
86 eighty- six
87 eighty- seven
88 eighty- eight
89 eighty- nine
90 ninety
91 ninety- one
92 ninety- two
93 ninety- three
94 ninety- four
95 ninety- five
96 ninety- six
97 ninety- seven
98 ninety- eight
99 ninety- nine
100 one hundred
200 two hundred
900 nine hundred
1,000 one thousand
2,000 two thousand
10,000 ten thousand
11,000 eleven thousand
20,000 twenty thousand
21,000 twenty-one thousand
30,000 thirty thousand
85,000 eighty-five thousand
100,000 one hundred thousand or one lakh
999,000 nine hundred and ninety-nine thousand nine hundred ninety-nine thousand
1,000,000 one million
10,000,000 ten million or one crore
Value Name
0Zero
1One
2Two
3Three
4Four
5Five
6Six
7Seven
8Eight
9Nine
10Ten
11Eleven
12Twelve
13Thirteen
14Fourteen
15Fifteen
16Sixteen
17Seventeen
18Eighteen
19Nineteen
20Twenty
21Twenty-one
22Twenty-two
23Twenty-three
24Twenty-four
25Twenty-five
26Twenty-six
27Twenty-seven
28Twenty-eight
29Twenty-nine
30Thirty
31Thirty-one
40Forty
50Fifty
60Sixty
70Seventy
80Eighty
87Eighty-seven
90Ninety
100One hundred
101One hundred [and] one
110One hundred [and] ten
111One hundred [and] eleven
120One hundred [and] twenty
121One hundred [and] twenty-one
144One hundred [and] forty-four
169One hundred [and] sixty-nine
200Two hundred
300Three hundred
400 Four hundred
500Five hundred
600Six hundred
666Six hundred [and] sixty-six
700Seven hundred
777Seven hundred [and] seventy-seven
800Eight hundred
900Nine hundred
1 000One thousand
1 001One thousand [and] one
1 010One thousand [and] ten
1 011One thousand [and] eleven
1 024One thousand [and] twenty-four
1 100One thousand one hundred
1 101One thousand one hundred [and] one
1 728One thousand seven hundred [and] twenty-eight
2 000Two thousand
3 000Three thousand
10 000Ten thousand
100 000One hundred thousand (lakh)
500 000Five hundred thousand
1 000 000One million
1 048 576One million forty-eight thousand five hundred [and] seventy-six
10 000 000Ten million (crore)
100 000 000One hundred million
How high can you count?
1 - One
10 - Ten
100 - One hundred
1,000 - One thousand
10,000 - Ten thousand
100,000 - One hundred thousand
1,000,000 - One million
10,000,000 - Ten million
100,000,000 - One hundred million
1,000,000,000 - One billion
Looking at the Words
Examples:
3 - Three
23 - Twenty-three
423 - Four hundred twenty-three (you could already do this)
1,423 - One thousand four hundred twenty-three (1 and 423)
7,423 - Seven thousand four hundred twenty-three (7 and 423)
37,423 - Thirty-seven thousand four hundred twenty-three (37 and 423)
637,423 - Six hundred thirty-seven thousand four hundred twenty-three (637 and 423)
5,637,423 - Five million six hundred thirty-seven thousand four hundred twenty-three (5 and 637 and 423)
1 Crore
(1,00,00,000) ------ 100 Lakhs

1 Lakh
(1,00,000) ------ 0.01 Crores

1 Million
(1,000,000) ------ 0.1 Crores

1 Crore
(1,00,00,000) ------ 10 Million

1 Billion
(1,000,000,000) ------ 100 Crores

1 Crore
(1,00,00,000) ------ 0.01 Billion
Cardinal Numbers

0 zero 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten

Ordinal Numbers

1st first 2nd second 3rd third 4th fourth 5th fifth 6th sixth 7th seventh 8th eighth 9th ninth 10th tenth
How could arithmetic handle two numbers?
Let's use 2 and 5 as sample numbers.
- Addition: 2 + 5 = 7
- Subtraction: 5 - 2 = 3
- Multiplication: 5 x 2 = 10
- Division: 6 ÷ 2 = 3

What is Addition?

Addition puts values together. It's about bringing things from one area and combining them with another. It could be as simple as adding two (2) books to a stack of four (4) books. You wind up with a stack of six (6) books. It could also be as complex as assigning the masses of planets to determine the forces of gravity at different points in the solar system.

Terms that tell you addition is happening:
Put them together.
Add them up.
Combine them.
Group them.
This plus that.
This and that.


  0+0=0  0+1=1  0+2=2  0+3=3  0+4=4  0+5=5
  1+0=1  1+1=2  1+2=3  1+3=4  1+4=5  1+5=6
  2+0=2  2+1=3  2+2=4  2+3=5  2+4=6  2+5=7
  3+0=3  3+1=4  3+2=5  3+3=6  3+4=7  3+5=8
  4+0=4  4+1=5  4+2=6  4+3=7  4+4=8  4+5=9
  5+0=5  5+1=6  5+2=7  5+3=8  5+4=9  5+5=10
  6+0=6  6+1=7  6+2=8  6+3=9  6+4=10
  7+0=7  7+1=8  7+2=9  7+3=10
  8+0=8  8+1=9  8+2=10
  9+0=9  9+1=10
10+0=10
8 + 5 = 13   3 + 9 = 12   5 + 9 = 14   6 + 8 = 14   7 + 9 = 16
 
9 + 6 = 15   7 + 6 = 13   8 + 6 = 14   6 + 5 = 11   8 + 4 = 12
 
3 + 8 = 11   5 + 8 = 13   9 + 4 = 13   7 + 4 = 11   6 + 6 = 12
 
4 + 9 = 13   4 + 8 = 12   6 + 9 = 15   8 + 9 = 17   4 + 7 = 11
 
5 + 7 = 12   6 + 7 = 13   9 + 3 = 12   9 + 2 = 11   7 + 7 = 14
 
7 + 8 = 15   9 + 5 = 14   9 + 8 = 17   7 + 5 = 12   2 + 9 = 11
 
9 + 7 = 16   8 + 7 = 15   5 + 6 = 11   8 + 3 = 11   8 + 8 = 16
 
9 + 0 = 9   8 + 0 = 8   0 + 6 = 6   0 + 3 = 3   0 + 0 = 0
Addition of Chains
Addition of Equations
Addition of Functions
Addition of Numbers
Addition of Sets
Addition of Shapes
Addition of Spaces
Addition of Strings
Addition of Vectors
Here are further guidelines.
What is Subtraction?

If addition is the act of putting things together, subtraction is about taking things away. It could be as simple as eating two (2) apples from a pile of six (6) apples. You would wind up with four (4) apples left over. It could also be as complex as figuring out the number of organisms that die each year in a specific ecosystem.

Terms that tell you subtraction is happening:
Take some away.
Subtract an amount.
Lose some.
This minus that.
Give up some.
Examples:
1 - 1 = 0
2 - 1 = 1
2 - 2 = 0
5 - 1 = 4
5 - 2 = 3
5 - 3 = 2
5 - 4 = 1
5 - 5 = 0
9 - 1 = 8
9 - 2 = 7
9 - 3 = 6
9 - 4 = 5
9 - 5 = 4
9 - 6 = 3
9 - 7 = 2
9 - 8 = 1
9 - 9 = 0
What is Multiplication?

3 × 6 = 18.
6 × 3 = 18.
7 × 4 = 28.
7.2 × 10 = 72.

6 × 4 = 24   5 × 4 = 20   7 × 4 = 28   7 × 7 = 49   9 × 8 = 72   9 × 3 = 27
 
7 × 5 = 35   9 × 9 = 81   6 × 3 = 18   9 × 5 = 45   8 × 4 = 32   6 × 8 = 48
 
3 × 9 = 27   4 × 6 = 24   4 × 5 = 20   5 × 7 = 35   4 × 7 = 28   3 × 6 = 18
 
4 × 3 = 12   7 × 8 = 56   8 × 7 = 56   8 × 3 = 24   6 × 7 = 42   8 × 9 = 72
 
5 × 8 = 40   5 × 6 = 30   3 × 4 = 12   4 × 8 = 32   5 × 5 = 25   5 × 9 = 45
 
8 × 6 = 48   8 × 5 = 40   9 × 6 = 54   6 × 9 = 54   7 × 9 = 63   6 × 5 = 30
 
9 × 7 = 63   9 × 4 = 36   6 × 6 = 36   3 × 8 = 24   3 × 7 = 21   7 × 3 = 21
 
8 × 8 = 64   3 × 5 = 15   5 × 3 = 15   7 × 6 = 42   4 × 9 = 36   4 × 4 = 16
What comes after multiplication in math?
Division.
What is Division?
Division is the opposite of multiplication. It's a method of making equal groups.

The division sign resembles a dash or double dash with a dot above and a dot below (÷). It is equivalent to the words "divided by."

Mathematically, the division sign is equivalent to the forward slash.

18 ÷ 6 = 3.
18 ÷ 3 = 6.
15 ÷ 3 = 5.
72 ÷ 10 = 7.2