Chapter 7: Q8. (page 463)

Express each number in scientific notation.
58,000

Short Answer

Expert verified

58000 Can be written in scientific notation as $5.8 \times 10^{4}$ .

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 $x \times 10^{- m}$ 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.

$58000 \to 5.8000$

Number of decimal places, $m = 4$ .

Step 3. Write a given number in scientific notation.

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

$5.8 \times 10^{4}$

Therefore, 58000 can be written in scientific notation as $5.8 \times 10^{4}$ .

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Express each number in scientific notation.
58,000

Short Answer

Step by step solution

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

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

Step 3. Write a given number in scientific notation.

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Express each number in scientific notation.58,000

Short Answer

Step by step solution

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

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

Step 3. Write a given number in scientific notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Express each number in scientific notation.
58,000