Question

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grade 8 math: rational and irrational numbers

1. which of the following best describes the set of numbers shown below?

{√2, √3, π, √5}
a. neither rational nor irrational
b. irrational
c. both rational and irrational
d. rational

1. what is the definition of an irrational number?

a. a number that can be written as a fraction but not as a decimal
b. a number that cannot be expressed as a fraction, p/q, where p and q are integers and q is not equal to zero
c. a number that can be expressed as a fraction, p/q, where p and q are integers and q is not equal to zero
d. a number that is more than 10 digits

1. which of the following is a rational number?

a. π
b. √36
c. √34
d. √83

1. which statement correctly describes the number √22 = 4.690415...?

a. the number is irrational because it can be written as a non - repeating, non - terminating decimal.
b. the number is rational because it can be written as a non - repeating, non - terminating decimal.
c. the number is irrational because it can be written as a terminating decimal.
d. the number is rational because it can be written as a terminating decimal.

Explanation:

Answer:

B. irrational
B. a number that cannot be expressed as a fraction, \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q\) is not equal to zero
B. \(\sqrt{36}\)
A. The number is irrational because it can be written as a non - repeating, non - terminating decimal.