Real Number System Review

Natural
Positive
counting
numbers

Whole
Zero and
positive
counting
numbers

Integer
Negative
AND
positive
counting
numbers
AND
Zero

Rational
Can be Fractions

●Mixed
numbers

●Percents

●Decimals
that stop

●Decimals
that repeat

Irrational
Can’t be a fraction

●Decimals
that
continue
forever
without a
pattern

Real
All the rational
and irrational
numbers

●Real Numbers: all rational and irrational numbers

●Rational Numbers: can be a fraction

●Irrational
Numbers:
can NOT be
a fraction

●Integers: positive & negative counting
numbers and zero

●Whole Numbers: zero and
positive counting numbers

●Natural Numbers: only
positive counting numbers

Match

Match the following definitions of real numbers.

• Natural Numbers

• Whole Numbers

• Integers

• Rational Numbers

• Irrational Numbers

positive counting numbers

zero and positive counting numbers

positive and negative counting numbers and zero

numbers that could be written like a fraction

numbers that are never an exact fraction, they never terminate and have no pattern

• positive counting numbers

• zero and positive counting numbers

• positive and negative counting numbers and zero

• numbers that could be written like a fraction

• numbers that are never an exact fraction, they never terminate and have no pattern

Drag and Drop

A ​

Placeholder

is also a ​

Placeholder

, ​

Placeholder

, ​

Placeholder

, and a ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

natural number

whole number

integer

rational number

real number

Drag and Drop

The set of numbers {0, 1, 2, 3...} is known as ​

Placeholder

.

The set of numbers {...-2, -1, 0, 1, 2} is known as ​

Placeholder

.

The set of numbers that can not be a fraction is known as ​

Placeholder

.

The set of numbers {1, 2, 3...} is known as ​

Placeholder

.

The set of numbers that can be a fraction is known as ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

whole numbers

integers

irrational numbers

natural numbers

rational numbers

Dropdown

Decimals that terminate are considered ​

Select answer

.

Decimals that never repeat are considered ​​

Select answer

.

Multiple Choice

Which is the best subset for $$\sqrt[]{45}$$ ?

• integer

• irrational

• whole

• rational

Multiple Select

Which are the best subsets for $$-12$$ ?

• whole

• integer

• rational

• real

• natural

Multiple Choice

Which statement is false?

• Natural numbers are integers.

• Integers are whole numbers.

• Rational numbers are real numbers.

• Irrational numbers are real numbers.

Labelling

Place each subset in the appropriate box on the diagram.

Drag labels to their correct position on the image

irrational

natural

whole

integer

rational

Multiple Choice

Which is NOT an integer?

• $$\frac{10}{2}$$

• $$\sqrt[]{144}$$

• $$-6.5$$

• $$-\ \sqrt[]{81}$$

Multiple Select

Which numbers are irrational?

• $$\sqrt[]{17}$$

• $$\frac{6}{5}$$

• $$\sqrt[]{400}$$

• $$\pi$$

• $$\sqrt[]{40}$$