Scientific Notation
Scientific notation is a way of writing numbers that looks like the following:
[tex]a\times10^n[/tex]
- a is any number between 1 and 10
- n is any integer
For instance, we can write 2930 in scientific notation.
- First, move the decimal so that the number is between 1 and 10:
⇒ 2.93 - Notice how we moved the decimal 3 places to the left. This means n will be 3. (Note that when we move to the right, n would be negative.)
⇒ 2.93 × 10³
Solving the Question
First, write all the given values in scientific notation:
- [tex]6.72\times10^5[/tex] ⇒ [tex]6.72\times10^5[/tex]
- [tex]67.2\times 10^{-4}[/tex] ⇒ [tex]6.72\times 10^{-3}[/tex]
- [tex]672\times 10^4[/tex] ⇒ [tex]6.72\times 10^6[/tex]
- [tex]0.000672[/tex] ⇒ [tex]6.72\times10^{-4}[/tex]
Now, let's compare the values of n, and organize the numbers from least to greatest:
[tex]6.72\times10^{-4}[/tex]
[tex]6.72\times 10^{-3}[/tex]
[tex]6.72\times10^5[/tex]
[tex]6.72\times 10^6[/tex]
Finally, rewrite all the numbers as their given format:
[tex]0.000672[/tex]
[tex]67.2\times 10^{-4}[/tex]
[tex]6.72\times10^5[/tex]
[tex]672\times 10^4[/tex]
Answer
[tex]0.000672[/tex]
[tex]67.2\times 10^{-4}[/tex]
[tex]6.72\times10^5[/tex]
[tex]672\times 10^4[/tex]
