Question

Determine whether the following numbers are rational or irrational​

Answer 1

Hi! I'm happy to help.

A rational number is a number that repeats, or stops.

First of all, 8/5, in fraction and decimal form (1.6), stops, So it is Rational.

Next, we have pi. This number, doesn't ever stop, or repeat. ( 3.1415926535 897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...) So, pi, is Irrational.

Next, we have 0. This number stops, so it is Rational.

Next, we have$\sqrt{1}$, the square root of 1, is 1, because 1 squared is one. 1 stops, so it is Rational.

Next, we have 4.46466... This number doesn't stop, and it doesn't seem to repeat, so it is Irrational.

Next, we have -6. -6 stops, so it is Rational.

Finally, we have $\sqrt{2}$. The square root of 2 is 1.41421356237...

This number doesn't stop, and doesn't repeat, so it is Irrational.

To sum it up: Number 1, 3, 4, and 6 are Rational, and Number 2, 5, and 7 are Irrational.

I hope this was helpful, keep learning! :D