Understanding Rational and Irrational Numbers

Which of the following is a terminating decimal?

• 0.333...

• 0.5

• Square root of 2

• Pi

What characteristic defines a rational number?

• It can be written as a fraction with integers.

• It has a non-repeating decimal.

• It cannot be expressed as a fraction.

• It is always a whole number.

Which of the following is an example of an irrational number?

• 3

• Pi

• 1/3

• 0.5

Why are there more irrational numbers than rational numbers?

• Because irrational numbers include all whole numbers.

• Because rational numbers are only fractions.

• Because irrational numbers are easier to find.

• Because there are infinitely many non-repeating decimal patterns.

What is a common mistake when identifying rational numbers?

• Assuming a pattern means the number is rational.

• Believing whole numbers are irrational.

• Thinking all decimals are irrational.

• Considering fractions as irrational.

How can you identify a rational number from its decimal form?

• If the decimal terminates or repeats.

• If the decimal is less than 1.

• If the decimal is non-repeating.

• If the decimal is longer than three digits.

What is the fraction form of the repeating decimal 0.626262...?

• 260/99

• 62/100

• 260/100

• 62/99