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How is dividing fractions similar to multiplying fractions?
It is similar because when you divide fractions you are technically multiplying the second number's reciprocal. (Turning the fraction the other way around)
What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
How are multiples and factors similar and different from each other?
They're both whole numbers. Factors go into numbers, numbers go into multiples. They have an inverse relationship. If A is a factor of B, then B is a multiple of A.
How are factors and multiples similar?
They have an inverse relationship in the sense that if A is a multiple of B, then B is a factor of A.They describe relationships between numbers.
What is similar to subtracting two positive integers?
Subtracting two positive fractional numbers, or adding one positive and one negative integer.
