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Chapter 2: Problem 11

Convert \(47.3 \times 10^{-2}\) to standard notation.

Short Answer

Expert verified
The given number \(47.3 \times 10^{-2}\) in standard notation is 0.473.

Step by step solution

01

Understand the given number

The given number is \(47.3 \times 10^{-2}\). The term \(10^{-2}\) indicates that we need to move the decimal point two places to the left.
02

Move the decimal point according to the exponent

Since the exponent is -2, we have to move the decimal point 2 places to the left. So, starting from the decimal point, we move it twice to the left: \(47.3 \Rightarrow 4.73 \Rightarrow 0.473\)
03

Write the result in standard notation

The result after moving the decimal point two places to the left is 0.473. So, the given number \(47.3 \times 10^{-2}\) in standard notation is: \(47.3 \times 10^{-2} = 0.473\)

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Most popular questions from this chapter

How much heat energy is 1 cal? Give your answer in terms of changing the temperature of water.

Do the following calculations and express each answer in scientific notation: (a) \(\left(5.03 \times 10^{2}\right)+\left(8.1 \times 10^{1}\right)\) (b) \(\left(8.32 \times 10^{-5}\right) \times\left(0.53 \times 10^{4}\right)\) (c) \(\frac{6.02 \times 10^{23}}{3}\), where the 3 is an exact number (d) \(\left(3.960 \times 10^{3}\right)-\left(4.62 \times 10^{2}\right)\)

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