Question

A student was asked to identify the following numbers as rational or irrational. Determine if the student has made any mistakes. Choose ALL the INCORRECT answers. There may be more than one answer

Answer 1

OPTION A& D

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Answer 2

Yes they are wrong, rational & irrational ones down below.

Explanation:

So, lets start this by asking, what is a rational and irrational number?

Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.

Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.

Note that the symbols listed above such as pi are values that are neverending.

Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.

So, we start off with:

-13/3

I do not see a square root.

I do not see a symbol such as pi either.

It is not a ever going number.(number that continues infinitly)

So -13/3 is a rational number.

Next we have
`√(37)`

immediatly we tell it has a square root.

So
`√(37)` is a irrational number.

Next we have 0.1234

This is not a every going number.

There isnt a square root.

And it isnt a symbol.

So 0.1234 is a rational number.

Next we have
`-√(100)`

Again, we can immediatly know it has a square root.

So
`-√(100)` is a irrational number.

Next we have -77

This is not every going.

It doesnt have a square root.

It doesnt have a symbol.

So -77 is a rational number.

Lastly we have
`-√(12)`

Like the other ones, we can imediatly tell it has a square root.

So
`-√(12)` is a irrational number.

Bascially, to answer further questions, here is the criteria for a number being rational:

• It does not have a square root.
• It does not have a symbol.
• It is not a infinitly going on number.

If one of these criterias are not met, then you know its a irrational number.

Hope this helps! :D