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10 gru 2018 · Here is what we mean by "indeterminate." The value of 1/0 is called "undefined" because there is NO number x that satisfies the equation 1/0 = x, or equivalently, 0*x = 1. In contrast, EVERY number x satisfies the equation 0/0 = x, or equivalently, 0*x = 0.
23 kwi 2019 · If you have a definition of "division", then you can ask whether that definition can be applied to zero. For instance, if you define division such that $x\div y$ means "Give the number $z$ such that $y \cdot z =x$", there is no such number in the standard real number system for $y=0$.
Starting with the set of ordered pairs of integers, {(a, b)} with b ≠ 0, define a binary relation on this set by (a, b) ≃ (c, d) if and only if ad = bc. This relation is shown to be an equivalence relation and its equivalence classes are then defined to be the rational numbers.
A number cannot be divided by 0 and the result is thus undefined. Example: 78 ÷ 0 = undefined (but 0 ÷ 78 = 0). When the dividend equals the divisor, which means the same numbers but not 0, then the answer is always 1. For examples: 36 ÷ 36 = 1. Zero is a real number, an integer, a rational number, and a whole number.
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28 paź 2024 · The uniqueness of division breaks down when dividing by zero, since the product 0·y=0 is the same for any y, so y cannot be recovered by inverting the process of multiplication. 0 is the only number with this property and, as a result, division by zero is undefined for real numbers and can produce a fatal condition called a "division by zero err...
When a non-zero number is divided by 0, the result is undefined. When 0 is divided by 0, it is said to be indeterminate. $\frac{a}{0} =$ Undefined …$a \neq 0$
