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Chapter 5: Problem 99

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

Short Answer

Expert verified
So the scientific notation of 0.0027 is \(2.7 \times 10^{-3}\).

Step by step solution

01

Identify the decimal number

The decimal number to be converted to scientific notation is 0.0027.
02

Rewriting the number in the form a x 10^n

Move the decimal point to the right until you obtain a number between 1 and 10. In this case, if the decimal point is moved three places to the right, we get 2.7. Count the number of moves to find the exponent for the base of 10. In this case, it is -3 (negative because we moved to the right). So the scientific notation is \(2.7 \times 10^{-3}\)
03

Check your solution

A quick way to check your solution is to convert the scientific notation back into decimal. In this case, \(2.7 \times 10^{-3}\) is equals to 0.0027.

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Most popular questions from this chapter

Perform the indicated computations. Express answers in scientific notation. $$\frac{\left(1.6 \times 10^{4}\right)\left(7.2 \times 10^{-3}\right)}{\left(3.6 \times 10^{8}\right)\left(4 \times 10^{-3}\right)}$$

Perform the indicated operations. $$(y+6)^{2}-(y-2)^{2}$$

Use a vertical format to find each product. $$\begin{array}{r}7 x^{3}-5 x^{2}+6 x \\\3 x^{2}-4 x \\\\\hline\end{array}$$

Are the expressions $$ \frac{12 x^{2}+6 x}{3 x} \text { and } 4 x+2 $$ equal for every value of \(x ?\) Explain.

Explain how to divide a polynomial that is not a monomial by a monomial. Give an example.
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