Math and Arithmetic

Algebra

Numbers

# Why is it that when you divide real numbers by zero the answer is undefined?

###### Wiki User

###### 2007-08-28 20:23:53

When a positive number is divided by a number less than 1, the

result is a number greater than the first number. Using

expressions, b/a > b if a < 1. As the value of 'a' approaches

zero, the result of the division grows bigger and bigger. When 'a'

reaches zero, b/a becomes a very large number, which is called

infinity. In calculators, the result of the division becomes

undefined because the number is beyond the range of numbers the

calculator can display. There are some calculators that can handle

infinity explicitly in calculations.

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### What are the different rules in governing operations of real numbers?

The set of real numbers is closed under addition, subtraction,
multiplication, and division (except that you cannot divide by
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operation are both real numbers, the result of the operation will
always be a real number. Dividing by zero is undefined (for all
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### What is 1 divide 0?

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### Can zero be divided?

No, zero cannot be divided. Zero is zero, or nothing. It is
impossible to divide nothing into any number of parts.
Mathematically, things are a bit different.
Zero can be divided by other real numbers, but the answer is
always zero. Zero divided by two is zero. Zero divided by minus
twenty-two is zero. But note that zero cannot be divided by zero.
Any division operation with zero as the divisor is undefined; the
operation cannot be performed.