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Yes, I do believe that those are the same things. I have a long-lasting history in math and when my students ask me this question, I am always positive that, in math, these two terms can mean the same thing in different instances. For example, if a number is not a real number, it can be undefined as well (and vice versa). If someone came up to me and asked me this exact question, I would say that the two terms mean the same thing.
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What is the same thing as 10101010?
The binary number 10101010 is equivalent, in decimal representation, to 128 + 32 + 8 + 2 = 170. But this answer assumes that the given number is binary - an assumption for which there is no real justification. Besides, the relationship is an equivalence, which is not quite "the same thing".
What is an improper fraction of 82?
It can be 82/1 or 164/2 or 246/3 or 328/5 and so on............Just multiply the numerator and denominator by the same number [any real number except zero(because it will become undefined{infinity} when a number other than zero is divided by zero).]
Why is log -10 display an error on the calculator?
In the real numbers, the logarithm is only defined for positive numbers. The logarithm of zero or a negative number is undefined. (For calculators who work with complex number, only the logarithm of zero is undefined.) This follows from the definition of the logarithm, as the solution of: 10x = whatever "Whatever" is the number of which you want to calculate the logarithm. Since 10x is always positive, that means you can't find an "x" such that the power results in a negative number, or in zero. The same applies if you use a base other than 10, for example the number e = 2.718...
Is a natural number the same as a real number?
No. Natural numbers are a very small subset of real numbers.
Is a mixed number into a mixed fraction the same thing?
Mixed numbers and mixed fractions are the same thing.
