8th Conn -rational/irrational numbers, terminating, repeating de

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 a number that can be written as a ratio.

Examples:

$2=\frac{2}{1}$
$0.25\ =\ \frac{1}{4}$
$2.5=\frac{5}{2}$

Tags

CCSS.5.NBT.A.2

Which number is IRRATIONAL?

Answer explanation

Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.

$\sqrt{45}=6.7082039....$ (non-terminating, no repeating pattern, cannot be written as ratio)

Tags

CCSS.8.NS.A.1

Which number is RATIONAL?

Answer explanation

Rational numbers can be written as a fraction (ratio of two integers).

$\frac{1}{4}$ is exactly that: a ratio of two integers.

√7

• Rational

• Irrational

Answer explanation

Rational numbers can be written as a fraction (ratio of two integers).

Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.

$\sqrt{7}=2.64575131...$ (cannot be written as a ratio, is non-terminating, and has no repeating pattern)

Tags

CCSS.8.NS.A.1

-17.5

• Rational

• Irrational

Answer explanation

Rational numbers cannot be written as a fraction (ratio of two integers).

Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.

$-17.5=-\frac{35}{2}$ (a ratio of two integers)

An irrational number doesn't have a repeating pattern.

• TRUE

• FALSE

Answer explanation

Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.

Tags

CCSS.8.NS.A.1

Irrational numbers can be written in the form of a fraction

• False

• True

Tags

CCSS.8.NS.A.1

Fill in the blank: _________________ includes integers, fractions, terminating and repeating decimals.

• Rational Numbers

• Irrational Numbers

Answer explanation

Rational numbers (left side of image) include integers, fractions, terminating and repeating decimals.

What type of number is a non-repeating, non-terminating decimal?

• irrational

• prime

• rational

• imaginary

Answer explanation

Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.

Tags

CCSS.8.NS.A.1

Identify the IRRATIONAL numbers (multiple answers)

Answer explanation

Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.

 $\pi=3.141592654...$  
 $\sqrt{2}=1.414213562...$  

Both values have non-terminating, non-repeating decimal forms.

Tags

CCSS.8.NS.A.1