Solve 2,45,20^-3-0,32,10^-2

$$2,45,20 ^ { - 3 } - 0,32,10 ^ { - 2 }$$

Sort

$$\frac{1}{8000},\frac{1}{100},2,32,45$$

Solution Steps

Calculate 20 to the power of -3 and get \frac{1}{8000}.

$$sort(2,45,\frac{1}{8000}-0,32,10^{-2})$$

Subtract 0 from \frac{1}{8000} to get \frac{1}{8000}.

$$sort(2,45,\frac{1}{8000},32,10^{-2})$$

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

$$sort(2,45,\frac{1}{8000},32,\frac{1}{100})$$

Convert decimal numbers in the list 2,45,\frac{1}{8000},32,\frac{1}{100} to fractions.

$$2,45,\frac{1}{8000},32,\frac{1}{100}$$

Least common denominator of the numbers in the list 2,45,\frac{1}{8000},32,\frac{1}{100} is 8000. Convert numbers in the list to fractions with denominator 8000.

$$\frac{16000}{8000},\frac{360000}{8000},\frac{1}{8000},\frac{256000}{8000},\frac{80}{8000}$$

To sort the list, start from a single element \frac{16000}{8000}.

$$\frac{16000}{8000}$$

Insert \frac{360000}{8000} to the appropriate location in the new list.

$$\frac{16000}{8000},\frac{360000}{8000}$$

Insert \frac{1}{8000} to the appropriate location in the new list.

$$\frac{1}{8000},\frac{16000}{8000},\frac{360000}{8000}$$

Insert \frac{256000}{8000} to the appropriate location in the new list.

$$\frac{1}{8000},\frac{16000}{8000},\frac{256000}{8000},\frac{360000}{8000}$$

Insert \frac{80}{8000} to the appropriate location in the new list.

$$\frac{1}{8000},\frac{80}{8000},\frac{16000}{8000},\frac{256000}{8000},\frac{360000}{8000}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{8000},\frac{1}{100},2,32,45$$

Evaluate

$$2,45,\frac{1}{8000},32,\frac{1}{100}$$