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Multiplication is one of the four elementary, numerical operations of number juggling; with the others being addition, subtraction and division. The multiplication of entire numbers might be thought as a repeated addition; that is, the increase of two numbers is equal to including the same number of duplicates of one of them, the multiplicand, as the estimation of the other one, the multiplier. Ordinarily, the multiplier is composed first and multiplicand second, however this can fluctuate, as the refinement is not extremely important.

Multiplication Table or Chart:

The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations with base-ten numbers. Many educators believe it is necessary to memorize the table up to 9 × 9

x

1

2

3

4

5

6

7

8

9

10

11

12

1

1

2

3

4

5

6

7

8

9

10

11

12

2

2

4

6

8

10

12

14

16

18

20

22

24

3

3

6

9

12

15

18

21

24

27

30

33

36

4

4

8

12

16

20

24

28

32

36

40

44

48

5

5

10

15

20

25

30

35

40

45

50

55

60

6

6

12

18

24

30

36

42

48

54

60

66

72

7

7

14

21

28

35

42

49

56

63

70

77

84

8

8

16

24

32

40

48

56

64

72

80

88

96

9

9

18

27

36

45

54

63

72

81

90

99

108

10

10

20

30

40

50

60

70

80

90

100

110

120

11

11

22

33

44

55

66

77

88

99

110

121

132

12

12

24

36

48

60

72

84

96

108

120

132

144


Multiplication Fractions:

There are three basic steps of multiplying fractions:

1. Multiply the top numbers (the numerators). 
2. Multiply the bottom numbers (the denominators). 
3. Simplify the fraction if needed.

For example,  1/2 X 2/5

Multiplying numerators: 1 = 2

Multiplying denominators: 2 5 = 10

So, 1/2 X 2/5  = 2/10

Simplifying, 1/5

Multiplication with decimals:

Just follow these steps:

Multiply normally, ignoring the decimal points.

Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

Example: Multiply 0.03 by 1.1

start with:

0.03 × 1.1

multiply without decimal points:

3 × 11 = 33

0.03 has 2 decimal places,
and 1.1 has 1 decimal place,
so the answer has 3 decimal places:

0.033


Example: Multiply 0.25 by 0.2
 

start with:

0.25 × 0.2

multiply without decimal points:

25 × 2 = 50

0.25 has 2 decimal places,
and 0.2 has 1 decimal place,
so the answer has 3 decimal places:

0.050


Example: Multiply 102 by 0.22
 

start with:

102 × 0.22

multiply without decimal points:

102 × 22 = 2,244

102 has 0 decimal places,
and 0.22 has 2 decimal place,
so the answer has 2 decimal places:

22.44

 

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