# Arithmetic

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

This is the sum of two numbers.

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Here the

stands for division, and the

stands for power.

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Spaces denote multiplication in

*Mathematica*. The front end automatically replaces spaces between numbers with light gray multiplication signs.

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You can use a

for multiplication if you want to.

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You can type arithmetic expressions with parentheses.

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Spaces are not needed, though they often make your input easier to read.

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x^y | power |

-x | minus |

x/y | divide |

x y z or x*y*z | multiply |

x+y+z | add |

Arithmetic operations in *Mathematica*.

Arithmetic operations in *Mathematica* are grouped according to the standard mathematical conventions. As usual, , for example, means , and not . You can always control grouping by explicitly using parentheses.

This result is given in scientific notation.

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You can enter numbers in scientific notation like this.

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With *Mathematica*, you can perform calculations with a particular precision, usually higher than an ordinary calculator. When given precise numbers, *Mathematica* does not convert them to an approximate representation, but gives a precise result.

This gives the result in terms of rational numbers.

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This gives the approximate numerical result.

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This gives the approximate numerical result with 40 significant digits.

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