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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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