Question

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

Answer 1

Shown below on step by step explanation

Explanation:

Rational: 11/3 because all fractions are rational.

6.25 Because it can be listed as a fraction 25/4

0.01045 Because it is a nonrepeating decimal.

0.42424242 because repeating decimals are rational, they can be listed as a fraction.

`√(16/81)` because it is a perfect square. It can be simplified to 4/9 which is a fraction.

Irrational:

`√(3/16)` because anything that is inside a square root that is not a perfect square (1^2=1, 2^2=4, 3^2=9, etc.) is irrational.

`√(48)` Because it is not a perfect square and is inside the square root. Same reason as one above.

Now you know.

Answer 2

11/3: rational (it is expressed as p/q fraction)

√48: irrational (cannot be expressed as p/q, does not end)

6.25: rational (it terminates after the hundredths place)

0.01045: rational (it terminates after the hundred-thousandths place)

√(16/81): rational (both divisors are square numbers, will come out even)

√(3/16) irrational (cannot be expressed as a p/q fraction, does not end)

0.42(repeating) rational (can be expressed as a p/q fraction)

Explanation: