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Numerals

On a Casio calculator you can enter the numerals 0 - 9 with the keys

 0      1      2      3      4      5      6      7      8      9 

 


Example 1

To calculate 0 × 1 = 0

 0  ×  1  =  0×1
           0.

and also 0 × 0 = 0

 0  ×  0  =  0×0
           0.

 


Example 2

To calculate 0 ÷ 1 = 0

 0  ÷  1  =  0÷1
           0.

 


Example 3

Enter 1 ÷ 0

 1  ÷  0  = Math ERROR 
 

and also 0 ÷ 0

 0  ÷  0  = Math ERROR 
 

Dividing by zero always gives a message, and that is correct.

 


Example 4

To calculate 10 = 1

 1   0  =  1∧0
           1.

 


Example 5

Enter 00

 0   0  =   Math ERROR 
 

although it is determined per definition that 00 ≝ 1. Take that as a warning.

 


Example 6

Enter 0!

 0    x-1 =  0!
           1.

This is correct, then it is determined by definition that 0! ≝ 1.

 


Example 7

To calculate cos (0) = 1

cos  0  =  cos 0
           1.

 


Example 8

To calculate √0 = 0

    0  =  √0
           0.

 


Example 9

To calculate

 0  nCr  0  =  0C0
           1.

 


Details

In the decimal system you need the 0 to indicate that a place in a decimal number has no value, as in the number 12305. The total value of a number can also be 0.

 


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