Question

How many bucketloads would it take to bucket out the world’s oceans? Write your answer in scientific notation.

Answer 1

Answer: $7\times10^{19} buckets$

Step-by-step explanation:

Given:  A cubic kilometer=$10^{15}$cubic centimeters

The volume of  world’s oceans=$1.4\times10^{9}$ cubic kilometers of water.

⇒ The volume of  world’s oceans=$1.4\times10^{9}\times10^{15}$ cubic centimeters of water.

Volume of a bucket = 20,000 cubic centimeters of water.

The number of bucket-loads would it take to bucket out the world’s oceans

$n=\frac{\text{volume of ocean}}{\text{volume of bucket}}=\frac{1.4\times10^{9}\times10^{15}}{20000}$

$\Rightarrow\ n=\frac{1.4\times10^{9+15}}{0.2\times10^5}......[a^n\times a^m=a^{m+n}]\\\Rightarrow\ n=7\times10^{24-5}.....[\frac{a^m}{a^n}=a^{m-n}]\\\Rightyarrow\ n=7\times10^{19}$

hence,  $7\times10^{19}$ bucketloads would it take to bucket out the world’s oceans.