Answer: [tex]1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}[/tex]
Step-by-step explanation:
1. A number written in scientific notation has the following form:
[tex]a10^{b}[/tex]
Where is [tex]a[/tex] is a number between 1 and 10 but not including 10, and b is an integer.
2. The negative exponent indicates the number of places the decimal point must be moved to the left to obtain the number as a decimal number.
3. Keeping this on mind, you can know that: if the exponent of a number written in scientific notation indicates that the decimal point must be moved 5 places to the left and another number written in scientific notation indicates that the decimal point must be moved 2 places to the left, then the first number is smaller than the second one.
4. Therefore, you can arrange the numbers given in the problem as following:
[tex]1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}[/tex]
