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If one of the numbers is negative, but the other is positive, then the product is negative - and therefore smaller than both numbers in the question. For example, 2 x -4 = -8.

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Another contributor added:

Also, whenever the absolute magnitude of both factors is less than ' 1 ',

the absolute magnitude of the product is less than either factor.

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Q: Can the product of two numbers be less than either of the numbers?
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Related questions

Is the product of two numbers never less than either of the numbers?

infinity


Is the product of two numbers is always greater than either number. a math question.?

No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either


Product of prime numbers less than 100?

The product of the prime numbers less than 100 is 2.3055679639455188e+36


How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.


Can the product of two numbers never be less than either of the numbers?

The statement is false. if any or both of numbers are less than 1, the product is less than the greater (or both) of the numbers. Eg. 1/2 x 1/3 = 1/6 ; 1/6 < 1/2 and 1/6 < 1/3


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.


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.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


Is the product of 2 positive numbers greater than either number?

Not always. Here are counterexamples: Cases involving 1: 1 x 1 = 1 1 x 3 = 3 Cases involving positive numbers less than 1: 0.5 x 10 = 5 0.5 x 0.5 = 0.25 Note that here we have positive numbers that are less than or equal to 1. When either number is less than 1, the product will not be greater than both numbers. Also, if either number is equal to 1, the product will be equal to the larger of the original numbers. A modified statement is the product P of two positive real numbers x and y such that x, y > 1, is greater than both x and y.


Is the product of two numbers that are less than zero also less than zero?

No. Their product is always greater than 0.