Solve {l}{4.15*10^5}{1.24*10^-3}

$$\left. \begin{array} { l } { 4.15 \times 10 ^ { 5 } } \\ { 1.24 \times 10 ^ { - 3 } } \end{array} \right.$$

Sort

$$0.00124,415000$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$sort(4.15\times 100000,1.24\times 10^{-3})$$

Multiply 4.15 and 100000 to get 415000.

$$sort(415000,1.24\times 10^{-3})$$

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

$$sort(415000,1.24\times \frac{1}{1000})$$

Multiply 1.24 and \frac{1}{1000} to get \frac{31}{25000}.

$$sort(415000,\frac{31}{25000})$$

Convert decimal numbers in the list 415000,\frac{31}{25000} to fractions.

$$415000,\frac{31}{25000}$$

To sort the list, start from a single element 415000.

$$415000$$

Insert \frac{31}{25000} to the appropriate location in the new list.

$$\frac{31}{25000},415000$$

Evaluate

$$415000,\ 0.00124$$