Solve {|c|}hline1.182*10^6hline4.39*10^-5hline7.9*10^2hline9.2*10^-2hline

$$\left. \begin{array} { | c | } \hline 1.182 \times 10 ^ { 6 } \\ \hline 4.39 \times 10 ^ { - 5 } \\ \hline 7.9 \times 10 ^ { 2 } \\ \hline 9.2 \times 10 ^ { - 2 } \\ \hline \end{array} \right.$$

Sort

$$0.0000439,0.092,790,1182000$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$sort(1.182\times 1000000,4.39\times 10^{-5},7.9\times 10^{2},9.2\times 10^{-2})$$

Multiply 1.182 and 1000000 to get 1182000.

$$sort(1182000,4.39\times 10^{-5},7.9\times 10^{2},9.2\times 10^{-2})$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$sort(1182000,4.39\times \frac{1}{100000},7.9\times 10^{2},9.2\times 10^{-2})$$

Multiply 4.39 and \frac{1}{100000} to get \frac{439}{10000000}.

$$sort(1182000,\frac{439}{10000000},7.9\times 10^{2},9.2\times 10^{-2})$$

Calculate 10 to the power of 2 and get 100.

$$sort(1182000,\frac{439}{10000000},7.9\times 100,9.2\times 10^{-2})$$

Multiply 7.9 and 100 to get 790.

$$sort(1182000,\frac{439}{10000000},790,9.2\times 10^{-2})$$

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

$$sort(1182000,\frac{439}{10000000},790,9.2\times \frac{1}{100})$$

Multiply 9.2 and \frac{1}{100} to get \frac{23}{250}.

$$sort(1182000,\frac{439}{10000000},790,\frac{23}{250})$$

Convert decimal numbers in the list 1182000,\frac{439}{10000000},790,\frac{23}{250} to fractions.

$$1182000,\frac{439}{10000000},790,\frac{23}{250}$$

Least common denominator of the numbers in the list 1182000,\frac{439}{10000000},790,\frac{23}{250} is 10000000. Convert numbers in the list to fractions with denominator 10000000.

$$\frac{11820000000000}{10000000},\frac{439}{10000000},\frac{7900000000}{10000000},\frac{920000}{10000000}$$

To sort the list, start from a single element \frac{11820000000000}{10000000}.

$$\frac{11820000000000}{10000000}$$

Insert \frac{439}{10000000} to the appropriate location in the new list.

$$\frac{439}{10000000},\frac{11820000000000}{10000000}$$

Insert \frac{7900000000}{10000000} to the appropriate location in the new list.

$$\frac{439}{10000000},\frac{7900000000}{10000000},\frac{11820000000000}{10000000}$$

Insert \frac{920000}{10000000} to the appropriate location in the new list.

$$\frac{439}{10000000},\frac{920000}{10000000},\frac{7900000000}{10000000},\frac{11820000000000}{10000000}$$

Replace the obtained fractions with the initial values.

$$\frac{439}{10000000},\frac{23}{250},790,1182000$$

Evaluate

$$1182000,\ 0.0000439,\ 790,\ 0.092$$