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Basic Calculations

kComplex Mode and Real Mode

The Complex mode is for complex number calculations, while the Real mode is limited to calculations within the range of real numbers. Performing a calculation in the Real mode that produces a result that is outside the range of real numbers causes an error (Non-Real Result error).

u Examples of Complex mode and Real mode calculation results

Expression

Complex Mode

Real Mode

 

 

 

solve (x3 x2 + x – 1 = 0, x)

{x = 1, x = i, x = i}

{x = 1}

i + 2i

3i

ERROR: Non-Real Result

 

 

 

kRadian Mode and Degree Mode

You can specify radians or degrees as the angle unit for display of trigonometric calculation results.

u Examples of Radian mode and Degree mode calculation results

 

 

 

 

(In Standard mode)

 

 

 

 

 

 

 

 

 

Expression

Radian Mode

Degree Mode

 

 

 

 

 

 

 

 

 

 

1

 

 

π

sin (π/6)

 

 

 

sin (

 

)

2

 

6

sin (30)

sin (30)

1

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

kAssistant Mode and Algebra Mode

The Algebra mode automatically simplifies mathematical expressions produced by calculations. No simplification is performed in the Assistant mode. In the Assistant mode, you can view intermediate results as well, which allows you to see the steps that lead to a particular result as shown in the “expand” example below.

u Examples of Assistant mode and Algebra mode calculation results

Expression

Assistant Mode

Algebra Mode

 

 

 

x2 + 2x + 3x + 6

x2 + 2 · x + 3 · x + 6

x2 + 5 · x + 6

expand ((x+1)2)

x2 + 2 · x· 1 + 12

x2 + 2 · x + 1

x + 1

x + 1

2

(When 1 is assigned to x)

 

 

 

 

 

Important!

The Assistant mode is available in the Main application and eActivity application only.

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