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 Aug 28 revised Does $\frac{x}{x}=1$ when $x=\infty$? added 3 characters in body Aug 28 answered Does $\frac{x}{x}=1$ when $x=\infty$? Aug 21 revised Division by $0$ restructure the argument Aug 6 comment Do I have to use “a” or “an” before letters? In short @Rhjg all the rules of English grammar still apply :-) Aug 6 comment Do I have to use “a” or “an” before letters? Yes it does play the same role here. Aug 6 revised What does “percent of change” mean? added 74 characters in body Aug 4 awarded Yearling Aug 3 revised What is the accepted syntax for a negative number with an exponent? added 59 characters in body Aug 3 revised What is the accepted syntax for a negative number with an exponent? added 179 characters in body Aug 3 revised What is the accepted syntax for a negative number with an exponent? added 95 characters in body Aug 3 answered What is the accepted syntax for a negative number with an exponent? Apr 27 comment role of definitions in proofs Definitions do not, as you say, "define objects." Instead, as any dictionary shows, they define the words we use for objects. Where they come from would be a matter of accepted convention. Apr 24 comment Could somebody please help me prove this using the properties of real numbers introduced in elementary algebra? Is it logically correct to state "1 is its own reciprocal because 1 * 1 = 1." And to prove this by the identity property of multiplication: a * 1 = a? Given that we know, by definition, reciprocals are two numbers whose product is 1. Apr 24 suggested rejected edit on Could somebody please help me prove this using the properties of real numbers introduced in elementary algebra? Apr 24 comment Is an empty parenthesis a valid mathematical expression? Short answer: no. Apr 24 comment Could somebody please help me prove this using the properties of real numbers introduced in elementary algebra? In the equation 1/1 = 1 the right hand side is called a fraction in simplest form. Does that mean all the integers are fractions in simplest form? But a ratio in simplest form must be n/1 for n = integer? Apr 23 revised Infinity isn't a Number deleted 1 character in body Apr 23 accepted Infinity isn't a Number Apr 23 revised what is the definition of Mathematics ? added 52 characters in body Apr 23 revised How to simplify this square $(3 \times 4 + 2)^2$? added 115 characters in body