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Chapter 7: Q13. (page 463)

ASTRONOMY The average distance from Mercury to the Sun is 35,980,000 miles. Express this distance in scientific notation.

Short Answer

Expert verified

35980000Can be written in scientific notation as 3.598脳107.

Step by step solution

01

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 asx脳10鈭�m and if the decimal point is moved towards left then write the number as x脳10m. Remove the unnecessary zeros.

02

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鈫�3.5980000

Number of decimal places, m=7.

03

Step 3. Write a given number in scientific notation.

As the decimal point is moved towards the left, write the number as x脳10m.

3.598脳107

Therefore,35980000 can be written in scientific notation as 3.598脳107.

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