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Write the number
8.2 ×10^(-5) in standard form.
Answer:

Write the number $8.2 \times 10^{-5}$ in standard form. $\newline$ Answer:

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Convert between standard and scientific notation

Full solution

Q. Write the number

8.2 \times 10^{-5}

in standard form.

\newline

Answer:

Understand Scientific Notation: Understand the meaning of scientific notation. $\newline$ Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is written as the product of a number between $1$ and $10$ and a power of $10$ .
Convert to Standard Form: Convert the scientific notation to standard form. $\newline$ To convert $8.2 \times 10^{-5}$ to standard form, we need to move the decimal point $5$ places to the left, because the exponent is $-5$ .
Move Decimal Point: Moving the decimal point. $\newline$ Starting with $8.2$ , we move the decimal point $5$ places to the left. Since there are not enough digits to the left of the decimal, we add zeros as placeholders. $\newline$ $8.2 \rightarrow 0.82 \rightarrow 0.082 \rightarrow 0.0082 \rightarrow 0.00082 \rightarrow 0.000082$
Write Final Answer: Write the final answer in standard form. $\newline$ The standard form of $8.2 \times 10^{-5}$ is $0.000082$ .

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