Question

Drag the values into the boxes to classify each number as rational or irrational.

Answer 1

Answer:

19/5: rational

Square root of 12: irrational

Square root of 49: rational

0.3425563758...: irrational

Square root of 4/25: rational

Square root of 1/8: irrational

0.6666666666...: rational

Step-by-step explanation:

The most common difference between irrational and rational numbers is that you cannot represent an irrational number with a fraction. This means there is infinite non-repeating numbers to the right of the decimal point.

19/5 is already a fraction

Square root of 12 is a cluster of numbers that cannot be represented with a fraction

Square root of 49 is 7, which is perfectly representable with a fraction, but most people don't bother.

0.3425563758 is another cluster of numbers.

Square root of 4/25 is 0.4, which can be viewed of 2/5.

Square root of 1/8 is just another cluster of numbers.

0.666666666666666666 is a repeating decimal, and is equal to 2/3.

Hope this helps!