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 Documentation / Mathematica / The Mathematica Book / Practical Introduction / Numerical Calculations  /

1.1.1 Arithmetic

You can do arithmetic with Mathematica just as you would on an electronic calculator.

  • This is the sum of two numbers.
  • In[1]:= 2.3 + 5.63

    Out[1]=

  • Here the / stands for division, and the ^ stands for power.
  • In[2]:= 2.4 / 8.9 ^ 2

    Out[2]=

  • Spaces denote multiplication in Mathematica. You can use a * for multiplication if you want to.
  • In[3]:= 2 3 4

    Out[3]=

  • You can type arithmetic expressions with parentheses.
  • In[4]:= (3 + 4) ^ 2 - 2 (3 + 1)

    Out[4]=

  • Spaces are not needed, though they often make your input easier to read.
  • In[5]:= (3+4)^2-2(3+1)

    Out[5]=


    Arithmetic operations in Mathematica.

    Arithmetic operations in Mathematica are grouped according to the standard mathematical conventions. As usual, 2^3+4, for example, means (2^3)+4, and not 2^(3+4). You can always control grouping by explicitly using parentheses.

  • This result is given in scientific notation.
  • In[6]:= 2.4 ^ 45

    Out[6]=

  • You can enter numbers in scientific notation like this.
  • In[7]:= 2.3 10^70

    Out[7]=

  • Or like this.
  • In[8]:= 2.3*^70

    Out[8]=