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$40,000$ in scientific notation

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Convert between decimals and fractions or mixed numbers

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Q.

40,000

in scientific notation

Identify basic form: Identify the basic form of scientific notation. $\newline$ Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically written in the form of a product of a number between $1$ and $10$ and a power of $10$ .
Determine coefficient: Determine the coefficient for scientific notation. $\newline$ To convert $40,000$ into scientific notation, we need to express it as a number between $1$ and $10$ multiplied by a power of $10$ . We do this by moving the decimal point to the left until we have a number between $1$ and $10$ . For $40,000$ , the decimal point is moved $4$ places to the left to get $4$ .
Determine power: Determine the power of $10$ . Since we moved the decimal point $4$ places to the left, the power of $10$ must be $10$ to the power of $4$ . This is because each move of the decimal point to the left increases the power of $10$ by one.
Write in scientific notation: Write the number in scientific notation. $\newline$ Combining the coefficient from Step $2$ and the power of $10$ from Step $3$ , we write $40,000$ as $4 \times 10^4$ in scientific notation.

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