[Date]

[Date]

M Vijay

[COMPANY NAME]

M Vijay

[COMPANY NAME]

MATHEMATICS       BASICS

MATHEMATICS       BASICS

MATHEMATICS  BASICS

Integers

- Addition(+)

- Subtraction(-)

- Multiplication(×)

- Division(÷)

- LCM

Fractions

- Addition(+)

- Subtraction(-)

- Multiplication(×)

- Division(÷)

Decimals

- Addition(+)

- Subtraction(-)

- Multiplication(×)

- Division(÷)

- Addition of fractions(+,F)

- Subtraction of fractions(-,F)

- Multiplication of fractions(×,F)

- Division of fractions(÷,F)

Variables

- Addition(+)

- Subtraction(-)

- Multiplication(×)

- Division(÷)

- Addition of fractions(+,F)

- Subtraction of fractions(-,F)

- Multiplication of fractions(×,F)

- Division of fractions(÷,F)

- LCM

Irrational numbers

- Addition(+)

- Subtraction(-)

- Multiplication(×)

- Division(÷)

- Addition of fractions(+,F)

- Subtraction of fractions(-,F)

- Multiplication of fractions(×,F)

- Division of fractions(÷,F)

- LCM

Cmparison

Cancellation

Convertion

- Decimal to Fraction

- Fraction to Decimal

VBODMAS Rule

Balancing of Equation

INDEX

S.NO

Name of the topic

Page number

1

Indian number system

2

Addition of Integers

3

Addition of Decimal numbers

4

Comparison of Integers & Decimals

5

Subtraction of Integers

6

Subtraction of Decimal numbers

7

Multiplication of Integers

8

Multiplication of Decimal numbers

9

Division of Integers

10

Cancellation

11

Convertion

12

Multiplication of Fraction

13

Multiplication of Fraction in Decimals

14

Division of Fraction

15

Division of Fraction in Decimals

16

LCM of Integers

17

Addition of Fraction

18

Addition of Fraction in Decimals

19

Subtraction of Fraction

20

Subtraction of Fraction in Decimals

21

Addition of Variables

22

Subtraction of Variables

23

Multiplication of Variables

24

Division of Variables

25

Multiplication of Fraction in Variables

26

Division of Fraction in Variables

27

LCM of Variables

28

Addition of Fraction in Variables

29

Subtraction of Fraction in Variables

30

Addition of Irrational numbers

31

Subtraction of Irrational numbers

32

Multiplication of Irrational numbers

33

Division of Irrational numbers

34

Multiplication of Fraction in Irrational numbers

35

Division of Fraction in Irrational numbers

36

LCM of Irrational numbers

37

Addition of Fraction in Irrational numbers

38

Subtraction of Fraction in Irrational numbers

39

VBODMAS rule

40

Balancing of Equation

1.Indian Number System

Crore

Lakh

Thousand

One

H

T

O

7

9

5

4

6

8

2

8

3

Q.1.      795468283

Ans:            C      L      Th       O

79,      54,      68

79 Crore 54 Lakh 68 Thousand 283

Seventy nine crore fifty four lakh sixty eight thousand two hundred and eighty three

Q.2.      600008205

Ans:      C      L      Th       O

60,      00,      08,      205

60 Crore  8 Thousand

Sixty crore eight thousand two hundred and five

Q.3.      74003023

Ans:      C      L      Th       O

7,      40,      03,      023

7 Crore 40 lakh 3 thousand 23

Seven crore forty lakh three thousand twenty three

Q.4.      50000406

Ans:      C      L      Th       O

5,      00,      00,      406

5 Crore 406

Five crore four hundred and six

Q.5.      275083

Ans:            L      Th       O

2,      75,      083

2 lakh 75 thousand 83

Two lakh seventy five thousand eighty three

S.no.

Question

Answer

1

1024

One thousand twenty four

2

1790056

Seventeen lakh ninety thousand fifty six

3

29345683

Two crore ninety three lakh forty five thousand six hundred and eighty three

4

485643000

Forty eight crore fifty six lakh forty three thousand

5

540007000

Fifty four crore seven thousand

2.Addition of Integers

Q.1      27+405+3652+972+3

Th

H

T

O

2

1

1

2

7

4

0

5

3

6

5

2

9

7

2

3

5

0

5

9

Ans:

27+405+3652+972+3 = 5059

S.no.

Question

Answer

1

23+457+9052+36592

46124

2

209+4893+20+35+428

5585

3

1796+2794+405+32

5027

4

25+296+758+8034

9113

5

2000+105+2796

4901

3.Addition of Decimal numbers

Q.1      2.5+0.7+0.002+4.96+237.42

Ans:

Th

H

T

O

2

2

5

0

0

0

7

0

0

0

0

0

2

4

9

6

0

2

3

7

4

2

0

2

4

5

5

8

2

2.5+0.7+0.002+4.96+237.42= 245.582

Q.2      0.3+5.46+92+3

H

T

O

1

0

3

0

5

4

6

9

2

0

0

3

0

0

1

0

0

7

6

92=92.

3=3.

3=3.0

=3.0

=300

=3.000

=3.00000000

0.3+5.46+92+3 = 100.76

S.no.

Question

Answer

1

0.2+4.3+24.72+2.254

31.474

2

24.36+4+2.3+7.62+2.456

40.736

3

2.8+8.2+3.44+24

38.44

4

0.05+0.005+0.02+3

3.075

5

4.7+2.724+0.756+9

17.18

4.Comparison of Integers & Decimals

Less than

2 5

2 is less than 5

Greater than

7 3

7 is greater than 3

Equal to                =

4 = 4

4 is equal to 4

1. Count the digits before decimal point(Bigger number contain more number of digits)

2. Compare the digits from left to right(Bigger number contain big digit)

Q.1

275

23589

Ans:                Number of digits before decimal point in 275  is 3

Number of digits before decimal point in 23589  is 5

275

23589

Therefore  23589 is bigger than275

Q.2

172.005

42.73

Ans:                Number of digits before decimal point in 172.005 is 3

Number of digits before decimal point in 42.73 is 2

172.005

42.73

Q.3

2053

2078

Ans:                Number of digits before decimal point in 2053 is 4

Number of digits before decimal point in 2078 is 4

Number of digits are same in both the numbers ,hence go for 2nd condition, Compare the           digits from left to right.

2=2

0=0

5<7

Therefore 2078 is bigger than 2053 because it contain big digit 7

2053

2078

Q.4

458.534

459.23

Ans:                Number of digits before decimal point in 458.534 is 3

Number of digits before decimal point in 459.23 is 3

Number of digits are same in both the numbers ,hence go for 2nd condition, Compare the           digits from left to right.

4=4

5=5

8<9

Therefore 459.23 is bigger than 458.534 because it contain big digit 9

458.534

459.23

Q.5

254.0562

254.053967

Ans:                Number of digits before decimal point in 254.0562 is 3

Number of digits before decimal point in 254.053967 is 3

Number of digits are same in both the numbers ,hence go for 2nd condition, Compare the           digits from left to right.

2=2

5=5

4=4

0=0

5=5

6>3

Therefore 254.0562 is bigger than 254.053967 because it contain big digit 6

254.0562

254.053967

Q.6

3.4

3.400025

Ans:                Number of digits before decimal point in 3.4 is 1

Number of digits before decimal point in 3.400025 is 1

Number of digits are same in both the numbers ,hence go for 2nd condition, Compare the           digits from left to right.

3.4=3.40

=3.400

=3.4000

=3.40000

=3.4000000000000

3=3

4=4

0=0

0=0

0=0

0<2

Therefore 3.400025 is bigger than 3.4 because it contain big digit 2

3.4

3.400025

Q.7

45

45.00

Ans:                Number of digits before decimal point in 45 is 2

Number of digits before decimal point in 45.00 is 2

Number of digits are same in both the numbers ,hence go for 2nd condition, Compare the           digits from left to right.

45=45.0

=45.00

=45.000

=45.0000

=45.000000000000

4=4

5=5

0=0

0=0

Therefore 45 is equal to 45.00

45

45.00

S.no.

Question

Answer

1

25987

435

2

32.73

123.456

3

57.468

25.89845

4

245

245.023

5

34.4700

34.47

5.Subtraction of Integers

Q.1      2736 ─ 2052

Ans:            2736 > 2052

Th

H

T

O

6

+

2

7

1

3

6

─

2

0

5

2

0

6

8

4

2736 ─ 2052 = 684

Q.2      157 ─ 4206

Ans:                    157 < 4206

Th

H

T

O

1

9

─

4

2

1

0

1

6

+

1

5

7

─

4

0

4

9

S.no.

Question

Answer

1

2549 ─ 352

2197

2

1968 ─ 9732

─ 7764

3

24 ─ 1982

─ 1958

4

─ 205 + 1785

1580

5

452 ─ 2000

─ 1548

157 ─ 4206 = ─ 4049

6.Subtraction of Decimal numbers

Q.1      524.362 ─ 216.32

Ans:            524.362 > 216.32

H

T

O

1

+

5

2

1

4

3

6

2

─

2

1

6

3

2

0

3

0

8

0

4

2

524.362 ─ 216.32 = 308.042

Q.2      1 ─  0.278

Ans:      1 >  0.278

O

0

9

9

+

1

1

0

1

0

1

0

─

0

2

7

8

0

7

2

2

1 ─  0.278 = 0.722

S.no.

Question

Answer

1

2 ─ 0.02

1.98

2

105.45 ─ 25.0985

80.3515

3

─ 2.5 + 47.23

44.73

4

2000.02 ─ 523.479

1476.541

5

─ 5.467 + 0.029

─ 5.438

7.Multiplication of Integers

- Multiplication of two same symbols is “+”

- Multiplication of two different symbols is “─”

+ × + = +

─ × ─ = +

+ × ─ = ─

─ × +  = ─

(─)even = +

(+)odd = ─

Q.1      2052  × 258

Ans:

L

Tth

Th

H

T

O

2

0

5

2

×

2

5

8

1

1

1

1

6

4

1

6

4

2

1

0

2

6

0

×

4

1

0

4

×

×

1

5

2

9

4

1

6

2052  × 258 = 529416

Q.2      (─2)3 =?

Ans:      (─2)3 =  (─)3  (2)3              [ (─)odd = ─ , (2)3 =8 ]

= ─8

Q.3      (─3)2 =?

Ans:      (─3)2 =  (─)2  (3)2            [ (─)even = + , (3)2 =9 ]

= +9

=9

Q.4      (─2) × (─1) × (─5) × (─2) = ?

Ans:      (─2) × (─1) × (─5) × (─2) = (─)4 (2×1×5×2)            [ (─)even = + ]

= + 20

=20

S.no.

Question

Answer

1

2354 × 201

473154

2

4002 ×2549

10201098

3

20 × 245 × 436

2136400

4

(─3) 4

81

5

(─1) 2^0203

─1

8.Multiplication of Decimal numbers

- Multiply the numbers with out decimal point

- Count the digits after decimal point in the question and write the decimal point after counted places from right to left in the answer

- Write zeroes  in empty places

Q.1      2.052 × 2.58

Ans:      2.052 × 2.58                3+2=5

L

Tth

Th

H

T

O

2

0

5

2

×

2

5

8

1

1

1

1

6

4

1

6

4

2

1

0

2

6

0

×

4

1

0

4

×

×

1

5

2

9

4

1

6

529416 =529416.

2052  × 258 = 529416

2.052 × 2.58 = 5. 2 9 4 1 6

= 5.29416

Q.2      0.002 × 0.0006

Ans:      0.002 × 0.0006             3+4=7

0002 × 00006

2 × 6 =12

0.002 × 0.0006 =  0.0 0 0 0 0 1 2

= 0.0000012

There is no value for zeroes after decimal point without having any digit except zero after them

Q.3      2.125 × 100

Ans:      2.125 × 100                 =3

2125  100 = 212500

2.125 × 100 = 2 1 2. 5 0 0

= 212.500

= 212.5

S.no.

Question

Answer

1

1.25 × 3.2

4

2

2.496 × 100

249.6

3

0.002 × 0.009

0.000018

4

1.2  ×  0.003

0.0036

5

(─0.1) (─0.002) (0.03) (0.4) (─0.001)

─ 0.0000000024

9.Division of Integers

Dividend ÷ Divisor

Divisor ) Dividend ( Quotient

___________

Remainder

Q.1      2536 ÷ 4

4)

2

5

3

6

(0634

2

4

0

1

3

1

2

0

1

6

1

6

0

2536 ÷ 4 = 634

Q.2      21025 ÷ 3

Ans:

3)

2

1

0

2

5

(07008.333....

2

1

0

0

0

0

0

2

5

2

4

0

1

0

9

1

0

9

1

0

9

1

21025 ÷ 3 = 7008.333……

=7008.

Q.3      221 ÷ 11

11)

2

2

1

(20.0909….

2

2

0

0

1

0

0

9

9

1

0

0

9

9

1

221 ÷ 11 = 20.0909…

= 20.

S.no.

Question

Answer

1

102 ÷ 4

25.5

2

28101 ÷ 11

3

1 ÷ 8

0.125

4

1 ÷ 6

5

4051 ÷ 5

810.2

10.Cancellation

Q.1

Ans:

0634

=    = = 634

1

Q.2

Ans:

07008.333…

=            = = 7008.

1

Q.3

Ans:

20.0909…

=                = = 20.

1

Q.4

Ans:

12

24

48

96

288

864

1728

=

1728

2

3

3

2

2

2

=

1728

144

144

144

72

24

8

4

2

1

S.no.

Question

Answer

1

25.5

2

2554.

3

0.125

4

0.1

5

125

11.Convertion

Decimal to fraction :

- Remove decimal point and write the number as it is in the place of numerator, write  1 is in the place of denominator and write zeros “0”  after 1(Number of zeroes are equal to number of digits after decimal point)

- Remove decimal point and write the number as it is in the place of denominator, write  1 is in the place of numerator and write zeros “0”  after 1(Number of zeroes are equal to number of digits after decimal point)

05

Q.1      2.5 =     =

02

1

Q.2      0.002 =     =      =

0500

064

128

Q.3      2.56 =     =

050

25

1       0500

Q.4         =      =      =    = 500

2                           1

Fraction to decimal :

- If 10, 100, 1000, …….. are in the place of denominator, move the decimal point towards left in numerator

- If there is no decimal point in the number then decimal point is present after last digit in the number(Right side)

Q.1       = 0.0 2 = 0.02

Q.2       = 2 4.7 5 6 = 24.756

Q.3       = 1 2 7 .4 5 = 1.2745

Q.4       = 4 9 8 6 2.0 5 2 = 49.862052

S.no.

Question

Answer

1

0.007

2

1.6

3

6.25

4

24.576

5

0.0003

12.Multiplication of Fraction

- Multiply all numerators and write as a numerator

- Multiply all denominators and write as a denominator

- Cancellation

Q.1         × × ×

Ans:       =

=

=

=

= 0.125

(or)

× × ×

=

=

=

=

=

= 1.25

= 0.125

Q.2         × × × 6

=

=

=

=

= 40

S.no.

Question

Answer

1

× × 6

3

2

× × × 5

25

3

× × × ×

1

4

× × 3 ×

2

5

24 ×

20

13.Multiplication of Fraction in Decimals

Q.1         × × 0.5

=

=

=

=

=

=

= 10

S.no.

Question

Answer

1

× × 0.2

15

2

× × 0.01

64

3

3.618 ×

603

4

×  × 0.4

0.01

5

2 × × 0.1

0.1

14.Division of Fraction

- Write first term as it is

- Write × (Multiplication symbol)  instead of  (Division symbol)

- Write reciprocal of second term

- (or)       =  ×

- (or)       =  ×

- (or)      =   =  ×

Q.1                     (or)

Ans:

= ×

=

=

=

=

=  0.5

Q.2                 (or)

=  ×

=

=

=

=  10

Q.3                  (or)      =

Ans:

=  ×

S.no.

Question

Answer

1

2.5

2

49

3

0.6

4

6

5

0.25

=

=

=

=

= 1.

15.Division of Fraction in Decimals

Q.1                     (or)

Ans:

= ×

=

=

=

=

=

= 16

Q.2                     (or)

Ans:

S.no.

Question

Answer

1

0.25

2

9

3

100

4

1000

5

0.0045

= ×

=

=

=

=

=

= 2.4

16.LCM of Integers

Q.1       What is the LCM of 8,10,16,6,15 ?

Ans:

2

8 , 10 , 16 , 6  ,15

2

4 , 5 , 8 , 3  , 15

2

2 , 5 , 4 , 3 , 15

3

1 , 5 , 2 , 3 , 15

5

1 , 5 , 2 , 1 , 5

1 , 1 , 2 , 1 , 1

LCM of 8, 10, 16, 6, 15  = 2 × 2 × 2 × 3 × 5 × 2

= 240

Q.2       What is the LCM of 24, 36, 42 ?

3

24 , 36 , 42

2

8 , 12 , 14

2

4 , 6 , 7

2 , 3 , 7

LCM of 24, 36, 42 = 3 × 2 × 2 × 2 × 3 × 7

S.no.

Question

Answer

1

What is the LCM of 3, 9, 12, 6

36

2

What is the LCM of 10, 1000, 100

1000

3

What is the LCM of 2, 24, 6, 12, 3

24

4

What is the LCM of 5, 2, 13

130

5

What is the LCM of 16, 2, 8

16

= 504

17.Addition of Fraction

- If they are like fractions write the numerators as it is and write denominator one time

- If they are unlike fractions(denominators are not same)  find the LCM of denominators and make all the denominators as LCM(i.e.  like fractions)

Q.1             + +

Ans:

=  + +

=

=

= 5

Q.2             + +

2

2 , 6 , 12

3

1 , 3 , 6

1 , 1 , 2

LCM = 2 × 3 × 2

= 12

Ans:                =  + +

= + +

=

=

=

=

= 2.33…

= 2.

5

5 , 10

1 , 2

LCM = 5 × 2

= 10

Q.2             + + 2

Ans:                = + +

= + +

= + +

=

=

= 2.8

= 2.8

S.no.

Question

Answer

1

+   + +

3

2

+   + + 4

6.8

3

+   + + 3

6.8

4

+   +

2.2

5

+   + 1

2

18.Addition of Fraction in Decimals

Q.1             + +

Ans:                = + +

=    + +

=    + +

=    + +

2

2 , 20

1 , 10

LCM = 2 × 10

= 20

= + +

=    + +

= + +

=

S.no.

Question

Answer

1

+   +

16.

2

0.5 +   +

34.5

3

+   + + 0.1

5.4

4

0.1 +

10.1

5

+   + + 0.2

15.4

=

=

= 107.65

= 107.65

19.Subtraction of Fraction

Q.1

Ans:

=

=

=

=

= 1.4

Q.2

2

2 , 20

1 , 10

LCM = 2 × 10

= 20

Ans:                =

=

=

=

=

= 0.9

= 0.9

Q.3             +

2

12 , 6 , 4 , 3

2

6 , 3 , 2 , 3

3

3 , 3 , 1 , 3

1 , 1 , 1 , 1

LCM = 2 × 2 × 3

= 12

Ans:                = +

=  +

= +

2

2 , 20

1 , 10

LCM = 2 × 10

= 20

=

=

=

=

=

= 0.166…

= 0.1

S.no.

Question

Answer

1

0.25

2

1

2.5

3

+

4

1

0.5

5

+ 2

.5

20.Subtraction of Fraction in Decimals

Q.1

Ans:                =

=

=

=

80 , 1

LCM = 80 × 1

= 80

=

=

=

=

=

S.no.

Question

Answer

1

2

2.5

1.9

3

1.75

4

27

5

0

=

= 19.9875

= 19.9875

21.Addition of Variables

3

Q.1

Ans:

(or)

9

Q.2

Ans:

Q.3

S.no.

Question

Answer

1

2

3

4

5

22.Subtraction of Variables

Q.1

Ans:

(or)

Q.2

Ans:

Q.3

S.no.

Question

Answer

1

2

3

4

5

23.Multiplication of Variables

Q.1

Q.2           5

Q.3

Q.4

Q.5

Q.5

S.no.

Question

Answer

1

2

3

4

5

24.Division of Variables

= 1

Q.1

Ans:

Q.2

Ans:

Q.3

Ans:

S.no.

Question

Answer

1

2

3

4

5

25.Multiplication of Fraction in Variables

Q.1

S.No.

Question

Answer

1

2

3

4

5

26.Division of Fraction in Variables

Q.1

Ans:

S.no.

Question

Answer

1

2

3

4

5

27.LCM of Variables

Q.1          What is the LCM of   ?

Ans:

LCM

Q.1          What is the LCM of   ?

Ans:

3

2

LCM

S.no.

Question

Answer

1

2

3

4

5

28.Addition of Fraction in Variables

Q.1

Ans:

LCM

Q.1

Ans:

2

2

LCM

S.no.

Question

Answer

1

2

3

4

5

29.Subtraction of Fraction in Variables

Q.1

Ans:

LCM

Q.2

Ans:

,

LCM

S.No.

Question

Answer

1

2

3

4

5

30.Addition of Irrational numbers

Q.1

Ans:

(or)

Q.2

Ans:

3

9

3

2

6

3

Q.3

Ans:

2

8

2

4

2

2

4

2

S.no.

Question

Answer

1

2

3

4

5

3

31.Subtraction of Irrational numbers

Q.1

Ans:

(or)

Q.2

Ans:

(or)

2

8

2

4

2

Q.3

Ans:

2

244

2

122

61

3

27

3

9

3

S.no.

Question

Answer

1

2

3

4

5

32.Multiplication of Irrational numbers

Q.1

Ans:

(or)

Q.2

Ans:

(or)

Q.3

Ans:

S.no.

Question

Answer

1

2

3

4

5

33.Division of Irrational numbers

Q.1

2

6

3

Ans:

Rationalizing the denominator

- Root should not be there in the place of denominator

- Rationalize the denominator

Q.2

Ans:

Q.3

2

8

2

4

2

Ans:

Q.4

Ans:

3

27

3

9

3

3

81

3

27

3

9

3

Rationalizing the denominator

S.no.

Question

Answer

1

2

41.

3

4

5

34.Multiplication of Fraction in Irrational numbers

Q.1

2

8

2

4

2

2

6

3

Ans:

S.no.

Question

Answer

1

1

2

3

4

5

35.Division of Fraction in Irrational numbers

Q.1

Ans:

2

12

2

6

3

3

27

3

9

3

5

125

5

25

5

Q.2

2

12

2

6

3

Ans:

3

27

3

9

3

5

125

5

25

5

Q.3

Ans:

2

40

2

20

2

10

5

=1

S.no.

Home Work

Answers

1

2

3

4

5

36.LCM of Irrational numbers

Q.1

2

6

3

2

10

5

Ans:

2

3

1 , 1 , 4 , 1 , 1

LCM =

= 24

= 24

2

12

2

6

3

3

27

3

9

3

Q.2

Ans:

5

125

5

25

5

2

30

3

15

5

3

45

3

15

5

3

LCM =

= 15

= 15

S.no.

Home Work

Answers

1

2

3

4

5

37.Addition of Fraction in Irrational numbers

Q.1

Ans:

Q.2

3  ,  2

LCM =

= 6

Ans:

S.no.

Home Work

Answers

1

2

3

4

5

38.Subtraction of Fraction in Irrational numbers

Q.1

LCM =

=

=

Ans:

(or)

,

LCM

LCM

Q.2

Ans:

(or)

LCM

S.no.

Home Work

Answers

1

2

3

4

5

39.VBODMAS rule

VBODMAS

- V : Vinculum/Bar “”

- B : Bracket

- O : Of/Order

- D : Division

- M : Multiplication

- A : Addition

- S : Subtraction

Q.1

Ans:

Q.2

Ans:

Q.3

Ans:

Q.4

Ans:

S.No.

Home Work

Answers

1

2

3

4

5

40.Balance of Equation

- Represents different terms

Example: 7   (3 terms) Example:

- Represents single term

Example:     (single term)

- If we send complete term to other side the symbol will change

- If we send part of a single term to other side the position will change

- First we have to send complete term to other side

Q.1

- and are different terms

- send to other side, that will become

- is a single term and   is a part in

- Here   is multiplying with   in LHS, If we send to other side(RHS) will divide

Ans:

Q.2

Ans:

Q.3

Ans:

Q.4

Ans:

Q.5

Ans:

Multiplying by on both sides

Q.6

Ans:

Q.7

Ans:

Multiplying by on both sides

Q.8

Ans:

Multiplying by on both sides

S.No.

Home Work

Answers

1

2

3

4

5

Table of Contents

MATHEMATICS BASICS

INDEX

(Untitled)

(Untitled)

1.Indian Number System

2.Addition of Integers

3.Addition of Decimal numbers

4.Comparison of Integers & Decimals

5.Subtraction of Integers

(Untitled)

6.Subtraction of Decimal numbers

7.Multiplication of Integers

8.Multiplication of Decimal numbers

9.Division of Integers

(Untitled)

10.Cancellation

(Untitled)

11.Convertion

(Untitled)

12.Multiplication of Fraction

13.Multiplication of Fraction in Decimals

14.Division of Fraction

15.Division of Fraction in Decimals

16.LCM of Integers

(Untitled)

17.Addition of Fraction

18.Addition of Fraction in Decimals

19.Subtraction of Fraction

20.Subtraction of Fraction in Decimals

21.Addition of Variables

22.Subtraction of Variables

23.Multiplication of Variables

(Untitled)

24.Division of Variables

25.Multiplication of Fraction in Variables

26.Division of Fraction in Variables

27.LCM of Variables

28.Addition of Fraction in Variables

(Untitled)

29.Subtraction of Fraction in Variables

30.Addition of Irrational numbers

31.Subtraction of Irrational numbers

(Untitled)

32.Multiplication of Irrational numbers

33.Division of Irrational numbers

34.Multiplication of Fraction in Irrational numbers

35.Division of Fraction in Irrational numbers

(Untitled)

36.LCM of Irrational numbers

37.Addition of Fraction in Irrational numbers

38.Subtraction of Fraction in Irrational numbers

39.VBODMAS rule

40.Balance of Equation