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Coins are often used to express a fraction of a currency. In the US, a quarter is $0.25 and a dime is $0.10. Counting change is just one of many ways you can put decimals to use in everyday life.

Level 1

We see that the fractional part of \(\frac{1}{3}\) is 0.333... It repeats after one digit. Let us say that \(\frac{1}{3}\) has "period" one. We can also say that \(\frac{1}{7} = 0.142857142857142857...\) has "period' six. Which of the following has the longest "period'?

Order these decimals and fractions. Your answer should be the largest one followed by the smallest one.





PS. The numbers aren't in order for biggest and smallest

\[\large \displaystyle {0. \overline{42}-0.\overline{35}= \ ?}\]

Note: \(0.\overline{ab}=0.abababab \ldots \)

\[ \large (1.2 \times 1.5) - \dfrac{0.32}{0.8} = \, ? \]

Even though the digits of the decimal \[\Large \color{blue}{10.5555555555}\ldots\] repeat forever, it can be written a simple fraction! Which of these fractions is equivalent to this decimal number?


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