Solve {l}{0.339}{4.08*10^-3*0.0821*1000}

$$\left. \begin{array} { l } { 0.339 } \\ { 4.08 \times 10 ^ { - 3 } \times 0.0821 * 1000 } \end{array} \right.$$

Sort

$$0.334968,0.339$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$sort(0.339,4.08\times \frac{1}{1000}\times 0.0821\times 1000)$$

Multiply 4.08 and \frac{1}{1000} to get \frac{51}{12500}.

$$sort(0.339,\frac{51}{12500}\times 0.0821\times 1000)$$

Multiply \frac{51}{12500} and 0.0821 to get \frac{41871}{125000000}.

$$sort(0.339,\frac{41871}{125000000}\times 1000)$$

Multiply \frac{41871}{125000000} and 1000 to get \frac{41871}{125000}.

$$sort(0.339,\frac{41871}{125000})$$

Convert decimal numbers in the list 0.339,\frac{41871}{125000} to fractions.

$$\frac{339}{1000},\frac{41871}{125000}$$

Least common denominator of the numbers in the list \frac{339}{1000},\frac{41871}{125000} is 125000. Convert numbers in the list to fractions with denominator 125000.

$$\frac{42375}{125000},\frac{41871}{125000}$$

To sort the list, start from a single element \frac{42375}{125000}.

$$\frac{42375}{125000}$$

Insert \frac{41871}{125000} to the appropriate location in the new list.

$$\frac{41871}{125000},\frac{42375}{125000}$$

Replace the obtained fractions with the initial values.

$$\frac{41871}{125000},0.339$$

Evaluate

$$0.339,\ 0.334968$$