Answer:
The list that shows the numbers ordered from least to greatest is:
- A. [tex]\frac{\sqrt{2} }{2}, \frac{\pi }{4}, 0.8, \frac{5}{6}[/tex]
Step-by-step explanation:
To identify what is the least number or the greatest number in the list, first, we're gonna show all the numbers in their decimal form:
- [tex]\frac{\sqrt{2}}{2}= 0.7071067812[/tex]
- [tex]\frac{\pi}{4}=0.7853981634[/tex]
- [tex]\frac{5}{6}= 0.8333333333[/tex]
- [tex]0.8 = 0.8[/tex]
Now, we must to identify the least number in the list, as you can see, it's 0.7071067812, more or less 0.71, by this reason [tex]\frac{\sqrt{2}}{2}[/tex] must be the first number, the next number is 0.7853981634, more or less 0.79, so [tex]\frac{\pi }{4}[/tex] must be the second number, the third number can't be [tex]\frac{5}{6}[/tex] because 0.833333333 is greatest than 0.8, so the third number is 0.8 and the last number is [tex]\frac{5}{6}[/tex] in the ordered list from least to greatest, and the option give us that order is the A option.
