Is infinity a real number

Is infinity (∞) in math a real number.

Infinity is not a number.

It does not represent a specific number, but an infinitely large quantity.

For every big number that you can find, you can find a bigger number.

Why infinity isn't a real number?

The infinity symbol is a mathematical symbol that represents an infinitely large number.

The infinity symbol is written with the Lemniscate symbol:

It represents an infinitely positive big number.

When we want to write an infinitely negative number we should write:


When we want to write an infinitely small number we should write:


As we already said, Infinity is not a number. It does not represent a specific number, but an infinitely large quantity.

Infinity rules & properties

NameKey type
Positive infinity
Negative infinity-∞
Infinity difference∞ - ∞ is undefined
Zero product0 ⋅ ∞ is undefined
Infinity quotient∞ / ∞ is undefined
Real number sumx + ∞ = ∞, for x∈ℝ
Positive number productx ⋅ ∞ = ∞, for x>0

How to type infinity symbol on keyboard

PlatformKey typeDescription
PC windowsAlt+236Hold the ALT key and type 236 on the num-lock keypad.
MacintoshOption+5Hold the Option key and press 5
Microsoft wordInsert > Symbol > ∞Menu selection: Insert > Symbol > ∞
Alt+236Hold the ALT key and type 236 on the num-lock keypad.
Microsoft excelInsert > Symbol > ∞Menu selection: Insert > Symbol > ∞
Alt+236Hold the ALT key and type 236 on the num-lock keypad.
Web pageCtrl+CCtrl+VCopy ∞ from here and paste it in your web page.
FacebookCtrl+CCtrl+VCopy ∞ from here and paste it in your Facebook page.
HTML∞ or ∞ 
ASCII code236 
MATLAB\inftyExample: title('Graph to \infty')

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