Rational vs. Irrational

A rational number

• is a number that can be written as a fraction.

• is always positive.

• can be a repeating decimal.

• is a fraction but not a decimal.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Irrational numbers 

• never end and never repeat.

• can be positive or negative.

• reduce to $\pi$

• are square roots of perfect squares.

Tags

CCSS.8.NS.A.1

A terminating decimal is

• rational.

• irrational.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

The square root of a perfect square is

• irrational.

• rational.

Tags

CCSS.8.NS.A.1

Identify the rational numbers.

• $\sqrt{64}$

• $3\pi$

• $\frac{4}{5}$

• $0.15151515...$

• 0

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

Identify the rational numbers.

• $\sqrt{120}$

• $\sqrt{36}$

• $\sqrt{220}$

• $\sqrt{1000}$

Tags

CCSS.6.NS.C.6

 $3\sqrt{5}+2\sqrt{5}\ =\ ?,\ so\ the\ result\ is\ ?$  

•  $5\sqrt{10},\ irrational$  

•  $5\sqrt{5},\ irrational$  

•  $6\sqrt{5},\ irrational$  

•  $6\sqrt{10},\ irrational$  

Tags

CCSS.6.EE.A.3

 $4\pi\ -\ 4\pi\ =\ ?,\ which\ is\ ?$  

• rational

• irrational

Tags

CCSS.7.NS.A.1D

 $\sqrt{7}\cdot\ \sqrt{3}\ =\ ?,\ which\ is\ ?$  

• rational

• irrational

Tags

CCSS.HSN.RN.B.3

 $\sqrt{7}\ \cdot\ \sqrt{7}\ =\ ?,\ which\ is\ ?$  

• rational

• irrational

Tags

CCSS.6.NS.C.6