Question

Express the following quantities as ordinary decimal numbers: (step by step please)

a. The wavelength of light is 9 x 10^-7 m.

b. The estimated world population for the year 2000 was 6.130 x 10⁹.

c. The diameter of our galaxy, the Milky Way, is 1 x 10⁵ light years.

d. The smallest viruses are 1 x 10^-5 mm in size.

e. The mass of a bee's wing is 10^-7 kg. ​

Answer 1

a. 0.0000009 m

b. 6,130, 000, 000

c. 100,000 light years

d. 0.00001 mm

e. 0.0000010 kg

Explanation:

Here, we want to come from the standard form to the decimal form

In doing this, we consider the power of 10 attached

If negative, we count leftwards, if positive, we count right-wards

The number of times we count is the power of 10 attached. The count means we are moving the decimal point

For numbers with out visible decimal point, it is at the back of the most right-ward number

Thus, we have these as;

a. 9 * 10^-7

= 0.0000009 m

b. 6.130 * 10^9

= 6,130, 000, 000

c. 1 * 10^5

= 100,000 light years

d. 1 * 10^-5 mm

= 0.00001 mm

e. 10^-7

= 0.0000010 kg