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Q13.

Expert-verifiedFound in: Page 463

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 $\mathbf{3}\mathbf{.}\mathbf{598}\times {\mathbf{10}}^{7}$.

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

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, $m=7$.

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

$3.598\times {10}^{7}$

Therefore, $35980000$ can be written in scientific notation as $3.598\times {10}^{7}$.

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