Questions: Write the decimals as fractions and then multiply. Write your answer in decimal form. Show all work. a. 0.5 * 0.6 b. 203 * 0.03 c. 0.003 * 0.006

Solution Steps

a. Convert \(0.5\) and \(0.6\) to fractions: \[ 0.5 = \frac{5}{10} = \frac{1}{2}, \quad 0.6 = \frac{6}{10} = \frac{3}{5} \]

b. Convert \(203\) and \(0.03\) to fractions: \[ 203 = \frac{203}{1}, \quad 0.03 = \frac{3}{100} \]

c. Convert \(0.003\) and \(0.006\) to fractions: \[ 0.003 = \frac{3}{1000}, \quad 0.006 = \frac{6}{1000} \]

a. Multiply \(\frac{1}{2}\) and \(\frac{3}{5}\): \[ \frac{1}{2} \cdot \frac{3}{5} = \frac{1 \cdot 3}{2 \cdot 5} = \frac{3}{10} \]

b. Multiply \(\frac{203}{1}\) and \(\frac{3}{100}\): \[ \frac{203}{1} \cdot \frac{3}{100} = \frac{203 \cdot 3}{1 \cdot 100} = \frac{609}{100} \]

c. Multiply \(\frac{3}{1000}\) and \(\frac{6}{1000}\): \[ \frac{3}{1000} \cdot \frac{6}{1000} = \frac{3 \cdot 6}{1000 \cdot 1000} = \frac{18}{1000000} \]

a. Convert \(\frac{3}{10}\) to a decimal: \[ \frac{3}{10} = 0.3 \]

b. Convert \(\frac{609}{100}\) to a decimal: \[ \frac{609}{100} = 6.09 \]

c. Convert \(\frac{18}{1000000}\) to a decimal: \[ \frac{18}{1000000} = 0.000018 \]

Final Answer