Problem

Express the number 0.000727 in scientific notation.

Answer

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Answer

Final Answer: The number 0.000727 in scientific notation is \(\boxed{7.27 \times 10^{-4}}\).

Steps

Step 1 :Express the number 0.000727 in scientific notation. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers. In scientific notation, numbers are written as a product of two numbers: a coefficient and 10 raised to a power. The coefficient must be greater than or equal to 1 and less than 10. The power of 10 indicates the number of places the decimal point was moved to the left or to the right. If the decimal point was moved to the left, the power of 10 is positive. If the decimal point was moved to the right, the power of 10 is negative.

Step 2 :In this case, the number is 0.000727. To express this number in scientific notation, we need to move the decimal point to the right until we have a number that is greater than or equal to 1 and less than 10. We then need to count the number of places we moved the decimal point to determine the power of 10.

Step 3 :The number 0.000727 in scientific notation is 7.27e-04. This means that the decimal point was moved to the right 4 places to get a number that is greater than or equal to 1 and less than 10. The coefficient is 7.27 and the power of 10 is -4.

Step 4 :Final Answer: The number 0.000727 in scientific notation is \(\boxed{7.27 \times 10^{-4}}\).

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