Problem

Write the number in two other forms.
27. $3 \times\left(\frac{1}{10}\right)+2 \times\left(\frac{1}{100}\right)+6 \times\left(\frac{1}{1,000}\right)$

Answer

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Answer

Final Answer in scientific notation: \(3 \times\left(\frac{1}{10}\right)+2 \times\left(\frac{1}{100}\right)+6 \times\left(\frac{1}{1,000}\right) = \boxed{3.26 \times 10^{-1}}\)

Steps

Step 1 :The problem is asking to convert a number from expanded form to decimal and scientific notation. In the expanded form, the number is written as a sum of products of digits and powers of 10 (in this case, \(3 \times\left(\frac{1}{10}\right)+2 \times\left(\frac{1}{100}\right)+6 \times\left(\frac{1}{1,000}\right)\)). To convert this to decimal notation, we need to add up all the products.

Step 2 :The Python code correctly converted the number from expanded form to decimal notation. However, due to the limitations of floating point precision, the result is not exactly 0.326, but very close to it. We can round the result to three decimal places to get the exact decimal notation.

Step 3 :Final Answer in decimal notation: \(3 \times\left(\frac{1}{10}\right)+2 \times\left(\frac{1}{100}\right)+6 \times\left(\frac{1}{1,000}\right) = \boxed{0.326}\)

Step 4 :To convert this to scientific notation, we need to write it as a product of a number between 1 and 10 (in this case, 3.26) and a power of 10 (in this case, \(10^{-1}\)).

Step 5 :Final Answer in scientific notation: \(3 \times\left(\frac{1}{10}\right)+2 \times\left(\frac{1}{100}\right)+6 \times\left(\frac{1}{1,000}\right) = \boxed{3.26 \times 10^{-1}}\)

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