Classifying Numbers

√11 is rational number.

False it is an irrational number because it is a non-repeating and non-terminating decimal.

18 is only a whole number.

False, 18 is also a natural number, integer, rational number, and real number

All negative numbers are integers.

False. All negative fractions and decimals are rational numbers but they are not integers.

All integers are whole numbers.

False. Integers also include negative whole numbers which are not part of the whole number subset.

6.57 is an integer.

False. Integers are only whole numbers and their opposite. 6.57 is a rational number and real number.

-2/3 is an integer.

False. Integers are only whole numbers and their opposite. Integers do not include fractions or decimals.

All whole numbers are natural numbers.

False. Zero is a whole number, but it is not a natural number.

-5

Integer, Rational, Real

-√49

Integer, Rational, Real

√7

Irrational, Real

2.4344344443...

Irrational, Real. The number is non-repeating and non-terminating.

48/12

Natural, Whole, Integer, Rational, Real

√36

Natural, Whole, Integer, Rational, Real

√64

Natural, Whole, Integer, Rational, Real

-8.5

Rational, Real

5/6

Rational, Real

All fractions are rational numbers.

True. Fractions are ratios so they are rational.

All irrational numbers are real numbers.

True. Irrational numbers are a set of the real number system.

All natural numbers are whole numbers.

True. Natural numbers are included in the whole number subset.

4.777777777777777 is rational

True. The number is a repeating decimal.

0

Whole, Integer, Rational, Real