How do scientific notation converted to decimal number?

Answer 1

To convert scientific notation to a decimal number do the sum.

For example:

1.234 x 102 = 1.234 x (102)

= 1.234 x (10 x 10)

= 1.234 x 100

= 123.4

1.234 x 10-2 = 1.234 x (1/102)

= 1.234 ÷ (102)

= 1.234 ÷ (10 x 10)

= 1.234 ÷ 100

= 0.01234

You may notice, that as you are multiplying (or dividing) by a power of 10, you can simply "move" the decimal point the number of digits specified by the power: if positive to the right, otherwise negative to the left, inserting zeros if you run out of digits:

1.234 x 102 → power is +2, so move decimal point 2 digits to the right → 123.4

1.234 x 10-2 → power is -2, so move decimal point 2 digits to the left (inserting a zero) → 0.01234