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Q13.

Expert-verified

Algebra 1

Found in: Page 463

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

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 $3.598 \times 10^{7}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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

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 $x \times 10^{m}$ .

$3.598 \times 10^{7}$

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

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