Express the following numbers as decimals: (a) 1.52 x 10^-2, (b) 7.78 x 10^-8, (c) 1 x 10^-6, (d) 1.6001 x 10^3.

Answer :

(a) 0.0152

(b) 0.0000000778

(c) 0.000001

(d) 1600.1

Explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

5000 is written as

889.9 is written as

In this examples, 5000 and 889.9 are written in the standard notation and  and  are written in the scientific notation.

(a)

The standard notation is, 0.0152

(b)

The standard notation is, 0.0000000778

(c)

The standard notation is, 0.000001

(d)

The standard notation is, 1600.1

it is the most commonly accepted one