Classifying Real Numbers and Estimating Square Roots

Front

What is a whole number?

Back

A whole number is a non-negative integer that does not have any fractional or decimal part. Examples include 0, 1, 2, 3, etc.

Front

Is 2 a natural number?

Back

True. Natural numbers are the set of positive integers starting from 1, and 2 is included.

Front

Which of the following is a whole number: 9, \frac{10}{9}, -3 \frac{1}{2}, 2 \frac{2}{3}?

Back

9 is a whole number.

Front

What is the square root of 49?

Back

7, because 7 x 7 = 49.

Front

Between which two whole numbers does \sqrt{449} fall?

Back

\sqrt{449} falls between 21 and 22.

Front

Between which two whole numbers does \sqrt{150} fall?

Back

\sqrt{150} falls between 12 and 13.

Front

What is a natural number?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers.

Front

What is the approximate value of \sqrt{47}?

Back

Approximately 6.86, which is best represented by point E.