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When you multiply two rational numbers will you always get a number that is smaller than the two factors?
No. A rational number is ANY number that can be represented as one integer over a second integer (which cannot be zero). There is no requirement that the top integer is less than the bottom integer (an improper fraction is still a rational number - all integers are rational numbers as they can be represented as an improper fraction with a 1 as the denominator). Only if both rational numbers are less than 1 will the result of multiplying them together be less than both of them. If one rational number is greater than 1 and the other less than 1, then the result of multiplying them together is greater than the number less than 1 and less than the number greater than 1. If both rational numbers are greater than 1, then the result of multiplying them together is greater than both of them.
Which rational number is less than -5?
- sqrt(26)
What rational number with a numerator that is less than the denominator?
A proper fraction.
Is the product of a fraction less than one and a whole number greater than or less than the whole number?
less than
Will the product of a fraction less than one and a whole number be less than or greater than the whole number?
less than
