Question

Which statements are true for irrational numbers written in decimal form? A. Irrational numbers are nonterminating. B. Irrational numbers are repeating. C. Irrational numbers are nonrepeating. D. Irrational numbers are terminating.

Answer 1

The correct answers are

A. Irrational numbers are nonterminating; and C. Irrational numbers are nonrepeating.

Explanation:

Irrational numbers are numbers that cannot be written as rational numbers, or fractions.

Terminating decimals have a specific endpoint; this means we can find the place value of the last digit of the number and write it as a fraction (if it ends in the tenths place, it is a fraction over 10; if it ends in the hundredths place, a fraction over 100; etc.).

Repeating decimals can also be written as a fraction; for example, 0.3 repeating is 1/3; 0.6 repeating is 2/3; 0.1 repeating is 1/9; etc.

This means that irrational numbers must be nonrepeating and nonterminating.

Answer 2

Irrational numbers are non-terminating
Irrational numbers are non-repeating