Is It Rational?
Pi
No!
It does not repeat or terminate.
1/4
No!
1/4 = 0.25, which is a terminating decimal.
√30 is between which two integers?
5 and 6
Write the repeating decimal as a fraction.
0.222222222
2/9
√9
Yes! The √9 = 3 or -3.
5/2
No!
5/2 = 2.5, which is a terminating decimal.
√90 is between which two integers?
9 and 10
Write the repeating decimal as a fraction.
0.3535353535353535...
35/99
1/6
Yes! It is equal to a repeating decimal.
√10
Yes!
10 is not a perfect square, so its square root is irrational.
√130 is between which two integers?
11 and 12
Write the repeating decimal as a fraction.
0.5151515151515151...
17/33
√12
No!
√12 = 3.464101615.......
It does not repeat or terminate.
√50
Yes!
50 is not a perfect square, so its square root is irrational.
Your friend says the √52 is approximately 7.3. Are they correct?
No. The √52 is approximately 7.2, not 7.3.
Write the repeating decimal as a fraction.
0.213213213213...
71/333
√196
Yes!
√196 = 14
-6.343434343434...
No!
-6.3434343434... repeats, which makes it a rational number.
To the nearest tenth, what is the -√76?
-8.7
Write the repeating decimal as a fraction.
-4.256256256256256256...
-4 and 256/999