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Q: Is the product of two positive fractions that are less than 1 also less than 1?
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When multiplying proper fractions why is the product less than the both factors?

A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.


When is the product of two fractions less than its factors?

If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.


When will the quotient of two fractions less than 1 be greater than either fraction?

Yes. Consider two negative fractions. Since they are negative, both are less than 1. But their product is positive and so greater than either.


The product of two numbers that are less than zero is also less than zero.?

No. The product of two negative numbers is positive.


Is it true that when you multiply two natural numbers the product is never less than either of the two numbers?

Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.


Why is the product of two proper fractions less than either of the fractions?

A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.


Is the product of two positive fractio that are each less than 1 also less than 1?

Yes.


When you multiply two positive fractions is the product less than one half?

No, not necessarily. 3/4 x 3/4 = 9/16 > 1/2


When you multiply two positive fractions is the product less than one?

It depends on the factions, but normally, yes. For example, you multiply one-fourth by one-half, you get one eighth, which is less than one.


When is the product of two nonzero integers less than or equal to both of the two factors?

If the numbers have to be positive, at least one of the two factor must be 1. In that case the product will be greater than or equal to 1 and equal to the other factor.If the numbers can be negative, in addition to the first case, any product of a positive and a negative integer will be less than or equal to both of the two factors. The product is negative so it's automatically less than the positive factor. If the positive factor is 1, the product is equal to the negative factor; if the positive factor is > 1 the product is less than the negative factor. E.g.1 * -14 = -14 which is equal to -14 and less than 1-3 * 5 = -15, which is less than both 5 and -3


Is the product of two positive mixed numbers less than one?

No, the product of two positive mixed numbers can never be less than one.


Is the product of two positive mixed numbers ever less than one?

No, the product of two positive mixed numbers can never be less than one.