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

Write the number 8.2×105 8.2 \times 10^{-5} in standard form.\newlineAnswer:

Full solution

Q. Write the number 8.2×105 8.2 \times 10^{-5} in standard form.\newlineAnswer:
  1. Understand Scientific Notation: Understand the meaning of scientific notation.\newlineScientific 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 11 and 1010 and a power of 1010.
  2. Convert to Standard Form: Convert the scientific notation to standard form.\newlineTo convert 8.2×1058.2 \times 10^{-5} to standard form, we need to move the decimal point 55 places to the left, because the exponent is 5-5.
  3. Move Decimal Point: Moving the decimal point.\newlineStarting with 8.28.2, we move the decimal point 55 places to the left. Since there are not enough digits to the left of the decimal, we add zeros as placeholders.\newline8.20.820.0820.00820.000820.0000828.2 \rightarrow 0.82 \rightarrow 0.082 \rightarrow 0.0082 \rightarrow 0.00082 \rightarrow 0.000082
  4. Write Final Answer: Write the final answer in standard form.\newlineThe standard form of 8.2×1058.2 \times 10^{-5} is 0.0000820.000082.

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