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Chapter 0: Problem 83

Write each number in scientific notation. $$0.0027$$

Short Answer

Expert verified
The number 0.0027 in scientific notation is \(2.7 \times 10^{-3}\).

Step by step solution

01

Identify the Decimal Position

Find where the decimal point is located. In the number 0.0027, the decimal point is just after the 0. This is the starting point.
02

Move the decimal point

To convert into scientific notation, move the decimal point to the right until there is only one non-zero digit to its left. In this case, move it three places to the right to get 2.7.
03

Determine the exponent of 10

Because we moved the decimal point to the right, the exponent of 10 is negative. And since we moved it three places, the exponent is -3.
04

Express as a Product

Write the number as a product of its value from step 2 and 10 raised to its power from step 3. So, it is \(2.7 \times 10^{-3}\)

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Most popular questions from this chapter

Describe how to solve an absolute value inequality involving the symbol \(>.\) Give an example.

What is a compound inequality and how is it solved?

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. You are choosing between two texting plans. Plan A has a monthly fee of \(\$ 15\) with a charge of \(\$ 0.08\) per text. Plan \(\mathbf{B}\) has a monthly fee of \(\$ 3\) with a charge of \(\$ 0.12\) per text. How many text messages in a month make plan A the better deal?

Explain how to determine the restrictions on the variable for the equation $$ \frac{3}{x+5}+\frac{4}{x-2}=\frac{7}{x^{2}+3 x-6} $$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$6+\frac{1}{x}=\frac{7}{x}$$
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