Remark
It is easier in this case to state the irrational ones and then talk about the rationals.
sqrt(2) * sqrt(3) is irrational. The square root of 6 fills your calculator's window with many numbers and there is no pattern to them. Sqrt(6) cannot be expressed as a fraction or a repeating decimal which is also a fraction.
The last one is also irrational for the same reason. 3*pi cannot be expressed as either a repeating decimal or a fraction.
All the others are rational. The one you might have trouble with is the first one.
0.12 repeating is actually found by letting x = 0.12121212121212121212...Then
100 x = 12.121212121212121212 ...
<u> x = 0.121212121212121212..</u>. Subtract
99 x = 12
x = 12/99
So the mixed fraction you get is 3 12/99 which is 309/99
When you multiply that by 1.4 it does not change the fact that you still get a fraction. It turns out to be 721 / 165. The method is similar to the one used to get 12 / 99. I don't think you need to know the exact answer. You need only need to know that the first one is rational.
Choice 2 is rational because 9 and 25 are perfect squares. sqrt(9) = 3
Sqrt(25) = 5.
3*5 = 15.
Answer
One Two are four are all rational.
Step-by-step explanation:
A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.
The answer should be the third one I believe
3. There are 4 friends. A quarter of 4 is 25%. You can prove this by multipling 25% by 4 of the friends to get 100%. There is a 25% chance of Jonathon arriving first and a 25% chance that Michel will arrive second.
The Additive inverse only works when you add a to its oppositie leaving a sum of 0
For example, says 5 represents a.
5 + b = 0
B, is 5's additive inverse: -5
The reciprocal of 9/10, however, is 10/9
