Rational and Irrational Numbers Quick Check

1 of 51 of 5 Items
Question
Identify which condition is necessary for a number to be rational.(1 point)
Responses

It must not be an endless decimal.
It must not be an endless decimal.

It must be written as a fraction.
It must be written as a fraction.

It must not be negative.
It must not be negative.

It must be able to be expressed as an integer divided by a nonzero integer.

2 answers

The correct response is:

It must be able to be expressed as an integer divided by a nonzero integer.

This condition means that a rational number can be represented in the form of a fraction \( \frac{a}{b} \), where \( a \) is an integer and \( b \) is a nonzero integer.

Rational and Irrational Numbers Quick Check
2 of 52 of 5 Items
Question
Which of the following is irrational?(1 point)
Responses

3.6363636363636363...
3.6363636363636363...

−7837
negative 7 Start Fraction 8 over 37 End Fraction

3√4
Start Fraction Start Root 3 End Root over 4 End Fraction

52.781654292