Question

write 3450 in scientific notation form. b) write 234 x 10^16 in standard form. c) Population of kuwait is 2.4million. It is 4/5 population of Hong Kong. Calculate the population of kuwiat as percentage of Hong kong population.

Answer 1

a; 3.45 * 10^3

b) 2.34 * 10^18

c) 80%

Explanation:

a) 3450 in standard form

To write in standard form, we have to place a decimal at the back of the first non-zero number

we have this as ;

3.450

The count of numbers after the decimal point is 3

This will be the power to which 10 will be raised

We have this as;

3.45 * 10^3

b) 234 * 10^16

Let us write 234 in standard form

That will be;

234 = 2.34 * 10^2

So we have ;

2.34 * 10^2 * 10^16

Using the law of indices, we have;

2.34 * 10^(2 + 16) = 2.34 * 10^18

c) From the question, Kuwait is 4/5 of Hong kong’s population

Let Honk Kong’s population be x

4/5 * x = 2.4 million

4x = 5 * 2.4 million

x = 5 * 2.4/4

x = 5 * 0.6

x = 3 million

so writing the population of Kuwait as a percentage of that of Hong kong, we have

2.4/3 * 100%

= 0.8 * 100% = 80%