Chapter 9, Problem 55SGR

To determine

Express the mass of sun in standard form.

Answer to Problem 55SGR

The standard form of mass of the sun is $1,988,920,000,000,000exagrams$ .

Explanation of Solution

Given:

Given mass of the sun: $1.98892\times {10}^{15}$

Concept Used:

A positive number is written in scientific notation when it is expressed in the form:

  $a\times {10}^n$

Where,

$a=$ The number greater than or equals to the $1$ and less than $10$

  $n=$ Integer.

Calculation:

So, here

  $a=1.98892\times {10}^{15}$

  ${10}^n={10}^{15}$

  $n=15$

For converting to standard form:

Expand the base of ten and then multiply to the decimal value to have the standard form.

  $\begin{array}{l}1.98892\times {10}^{15}\\ {10}^{15}=1,000,000,000,000,000\\ 1.98892\times 1,000,000,000,000,000\\ 1,988,920,000,000,000exagrams\end{array}$

Conclusion:

Hence, the standard form of mass of the sun is $1,988,920,000,000,000exagrams$ .