How to Convert Numbers into Scientific Notation? - Tutorial

Scientific Notation - Definition, Example

Definition:

Scientific notation is the method of representing too big or too small number in its own standard form. It is a number notation which is the product of the number with the power of 10's.

Example 1:

Let us consider converting 500000 into scientific notation. 500000 = 5 x 100000 Which is, 5 x 10 x 10 x 10 x 10 x 10 i.e., 5 x 105

Example 2:

Now, let us consider another example by converting the number 789 into a scientific notation. 789 = 700 + 80 + 9 Which is represented as, 7 x 100 + 8 x 10 + 9 Since, 7 is a multiplication split of 100 and 8 and 9 is not, Multiply and divide 8 and 9 with the numbers that bring 100 7 x 100 + 8 x 10 x (10 / 10) + 9 x (100 / 100) Which results, (7 + 0.8 + 0.09) x 100 Finally, the standard scientific notation of 789 is 7.89 x 102

Example 3:

Now, let us consider another example by converting a decimal number 0.0008 into a scientific notation. 0.0008 = 8 / 10000 Which is, 8 / 10 x 10 x 10 x 10 = 8 / 104 Which is represented as, 8 x 10-4 Finally, the standard scientific notation of 0.0008 is 8 x 10-4

Example 4:

Now, let us consider another example by converting a decimal number 4321.768 into a scientific notation. 4321.768 = 4000 + 300 + 20 + 1 + 7 / 10 + 6 / 100 + 8 / 1000 Since, 4 is a multiplication split of 1000 so multiply and divide other digits with the numbers that bring 1000 4 x 1000 + 3 x 100 x (10 / 10) + 2 x 10 x (100 / 100) + 1 x (1000 / 1000) + (7 / 10) x (10000 / 10000) + (6 / 100) x (100000 / 100000) + (8 / 1000) x (1000000 / 1000000) Which is, (4 + 0.3 + 0.02 + 0.001 + 0.0007 + 0.00006 + 0.000008) x 1000 Which gives, 4.321768 x 1000 Which is represented as, 4.321768 x 103 Finally, the standard scientific notation of 4321.768 is 4.321768 x 103


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