Rational vs Irrational Numbers Warmup

Label the sections with the appropriate vocabulary word.

b

c

d

e

a

Natural Numbers

Rational

Whole Numbers

Irrational

Integers

Match the following

• Non Perfect Square

• Perfect square

• 0.89

• Irrational

• 3.454545...

• Terminating Decimal

• Rational

Tags

CCSS.HSN.RN.B.3

An ​ (a)   number is a ​ (b)   decimal, non-repeating decimal, and a ​ (c)   .

• irrational

• non-terminating

• non-perfect square

Answer explanation

An irrational number is a non-terminating, non-repeating decimal that cannot be expressed as a fraction. Additionally, it is often a non-perfect square, as perfect squares yield rational results.

Tags

CCSS.8.NS.A.1

A ​ (a)   number is a (b)   decimal, terminating decimal, fraction, or ​ (c)  

• rational

• repeating

• perfect square

Answer explanation

A rational number can be expressed as a fraction, and it includes terminating and repeating decimals. A perfect square is a specific type of rational number, but not all rational numbers are perfect squares.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Irrational Numbers....

• cannot be represented as a simple fraction

• can be represented as a fraction

• can be a repeating decimal

Answer explanation

Irrational numbers cannot be expressed as simple fractions, meaning they cannot be written as a ratio of two integers. This distinguishes them from rational numbers, which can be represented as fractions.

Tags

CCSS.8.NS.A.1

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.

• A rational number is a number that can be written as a ratio.

• A rational number cannot be a repeating  decimal.

Answer explanation

A rational number is defined as a number that can be expressed as a ratio of two integers, which makes the correct choice "A rational number is a number that can be written as a ratio." The other options are incorrect.

Tags

CCSS.5.NBT.A.2