Decimals: Level 1 Challenges

         

We see that the fractional part of 13\frac{1}{3} is 0.333... It repeats after one digit. Let us say that 13\frac{1}{3} has "period" one. We can also say that 17=0.142857142857142857...\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.

34\dfrac{3}{4}

.83.83

86100\dfrac{86}{100}

.79.79

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

0.420.35=?\large \displaystyle {0. \overline{42}-0.\overline{35}= \, ?}


Note: 0.ab=0.abababab0.\overline{ab}=0.abababab \ldots

(1.2×1.5)0.320.8=? \large (1.2 \times 1.5) - \dfrac{0.32}{0.8} = \, ?

Even though the digits of the decimal 10.5555555555\Large \color{#3D99F6}{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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