Solve {c}{6.3*10^-2}{5.34*10^-7}{3.92*10^-2}{2*10^-7}

$$\left. \begin{array} { c } { 6.3 \times 10 ^ { - 2 } } \\ { 5.34 \times 10 ^ { - 7 } } \\ { 3.92 \times 10 ^ { - 2 } } \\ { 2 \times 10 ^ { - 7 } } \end{array} \right.$$

Sort

$$0.0000002,0.000000534,0.0392,0.063$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$sort(6.3\times \frac{1}{100},5.34\times 10^{-7},3.92\times 10^{-2},2\times 10^{-7})$$

Multiply 6.3 and \frac{1}{100} to get \frac{63}{1000}.

$$sort(\frac{63}{1000},5.34\times 10^{-7},3.92\times 10^{-2},2\times 10^{-7})$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$sort(\frac{63}{1000},5.34\times \frac{1}{10000000},3.92\times 10^{-2},2\times 10^{-7})$$

Multiply 5.34 and \frac{1}{10000000} to get \frac{267}{500000000}.

$$sort(\frac{63}{1000},\frac{267}{500000000},3.92\times 10^{-2},2\times 10^{-7})$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$sort(\frac{63}{1000},\frac{267}{500000000},3.92\times \frac{1}{100},2\times 10^{-7})$$

Multiply 3.92 and \frac{1}{100} to get \frac{49}{1250}.

$$sort(\frac{63}{1000},\frac{267}{500000000},\frac{49}{1250},2\times 10^{-7})$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$sort(\frac{63}{1000},\frac{267}{500000000},\frac{49}{1250},2\times \frac{1}{10000000})$$

Multiply 2 and \frac{1}{10000000} to get \frac{1}{5000000}.

$$sort(\frac{63}{1000},\frac{267}{500000000},\frac{49}{1250},\frac{1}{5000000})$$

Least common denominator of the numbers in the list \frac{63}{1000},\frac{267}{500000000},\frac{49}{1250},\frac{1}{5000000} is 500000000. Convert numbers in the list to fractions with denominator 500000000.

$$\frac{31500000}{500000000},\frac{267}{500000000},\frac{19600000}{500000000},\frac{100}{500000000}$$

To sort the list, start from a single element \frac{31500000}{500000000}.

$$\frac{31500000}{500000000}$$

Insert \frac{267}{500000000} to the appropriate location in the new list.

$$\frac{267}{500000000},\frac{31500000}{500000000}$$

Insert \frac{19600000}{500000000} to the appropriate location in the new list.

$$\frac{267}{500000000},\frac{19600000}{500000000},\frac{31500000}{500000000}$$

Insert \frac{100}{500000000} to the appropriate location in the new list.

$$\frac{100}{500000000},\frac{267}{500000000},\frac{19600000}{500000000},\frac{31500000}{500000000}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{5000000},\frac{267}{500000000},\frac{49}{1250},\frac{63}{1000}$$

Evaluate

$$0.063,\ 0.000000534,\ 0.0392,\ 0.0000002$$