Question

Match the number with the correct description. (5 points) √16 0.133134135.... Item 1 Item 2 Item 3 Item 4 Item 5 Item 6 Item 7 Item 8 √101 0.789 0.424242424... < Irrational because it is the square root of a non-perfect square :: Rational because the decimal repeats :: Rational because the decimal does not terminate :: Irrational because the decimal is non-terminating, non-repeating #Rational because it is the square root of a perfect square Rational because the decimal terminates :: Irrational because the decimal repeats

Answer 1

Here’s the correct matching of the numbers with their descriptions:

1. √16 - Rational because it is the square root of a perfect square.
2. 0.133134135... - Irrational because the decimal is non-terminating, non-repeating.
3. √101 - Irrational because it is the square root of a non-perfect square.
4. 0.789 - Rational because the decimal terminates.
5. 0.424242424... - Rational because the decimal repeats.
6. (No match provided)
7. (No match provided)
8. (No match provided)

In summary:

• √16 = Rational because it is the square root of a perfect square.
• 0.133134135... = Irrational because the decimal is non-terminating, non-repeating.
• √101 = Irrational because it is the square root of a non-perfect square.
• 0.789 = Rational because the decimal terminates.
• 0.424242424... = Rational because the decimal repeats.