Number Families, Rational vs. Irrational, Radicals

Irrational numbers 

• never end and never repeat.

• can be positive or negative.

• 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.

• 0

True or False: The set of irrational numbers is a subset of rational numbers.

• True

• False

A rational number plus a rational numbers is ​ (a)   rational.

A rational number times a rational number is ​ (b)   irrational.

An irrational number times as an irrational number is ​ (c)   rational.

• always

• never

• sometimes

Answer explanation

For these, always try a few examples.

The only one that is tricky is the irrational times an irrational...

If you do pi times pi we get irrational.

If you do square root 3 times square root 3 we get 3 (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

Tags

CCSS.8.NS.A.1

• rational

• irrational

• rational

• 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