 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q13.

Expert-verified Found in: Page 463 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # ASTRONOMY The average distance from Mercury to the Sun is 35,980,000 miles. Express this distance in scientific notation.

$35980000$ Can be written in scientific notation as $\mathbf{3}\mathbf{.}\mathbf{598}×{\mathbf{10}}^{7}$.

See the step by step solution

## Step 1. Write steps to convert standard form to scientific notations.

1. Move decimal point to the right until it is the first nonzero digit. It is a real number x.

2. Count the numbers of decimal places m and direction in which decimal point is moved.

3. If the decimal point is moved towards right then write the number as $x×{10}^{-m}$ and if the decimal point is moved towards left then write the number as $x×{10}^{m}$. Remove the unnecessary zeros.

## Step 2. Apply steps to convert standard form to scientific notation.

Move decimal point towards left till it reaches first nonzero number and then count the number of decimal places.

$35980000\to 3.5980000$

Number of decimal places, $m=7$.

## Step 3. Write a given number in scientific notation.

As the decimal point is moved towards the left, write the number as $x×{10}^{m}$.

$3.598×{10}^{7}$

Therefore, $35980000$ can be written in scientific notation as $3.598×{10}^{7}$. ### Want to see more solutions like these? 