Simplify (0.012 * 0.00009) / 0.06, correct to one significant figure.

Steps to Solve

1. Rewrite the expression Rewrite the expression to make it easier to work with. $$ \frac{0.012 \times 0.00009}{0.06} $$

2. Convert decimals to scientific notation Convert each decimal number to scientific notation. $0.012 = 1.2 \times 10^{-2}$ $0.00009 = 9 \times 10^{-5}$ $0.06 = 6 \times 10^{-2}$ Now, substitute these values into the expression: $$ \frac{(1.2 \times 10^{-2}) \times (9 \times 10^{-5})}{6 \times 10^{-2}} $$

3. Simplify the expression Separate and simplify the numerical and exponential parts. $$ \frac{1.2 \times 9}{6} \times \frac{10^{-2} \times 10^{-5}}{10^{-2}} $$ $$ \frac{10.8}{6} \times \frac{10^{-7}}{10^{-2}} $$ $$ 1.8 \times 10^{-7 - (-2)} $$ $$ 1.8 \times 10^{-5} $$

4. Round to one significant figure Round the result to one significant figure. $1.8 \times 10^{-5}$ rounded to one significant figure becomes $2 \times 10^{-5}$.