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.
infinity
Yes, it is true that the product of two decimals less than one is less than either of the factors. When you multiply two numbers that are both less than one, their product is smaller than either of the numbers. For example, multiplying 0.5 and 0.3 gives you 0.15, which is less than both 0.5 and 0.3. This principle applies to any decimals between 0 and 1.
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.
No, there are a lot of exceptions to that statement.(1/2) times (1/4) = 1/8 (less than 1/2 and less than 1/4)(5) times (-1) = -5 (less than 5 and less than -1)
No. Their product is always greater than 0.
infinity
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
Yes, it is true that the product of two decimals less than one is less than either of the factors. When you multiply two numbers that are both less than one, their product is smaller than either of the numbers. For example, multiplying 0.5 and 0.3 gives you 0.15, which is less than both 0.5 and 0.3. This principle applies to any decimals between 0 and 1.
The product of the prime numbers less than 100 is 2.3055679639455188e+36
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
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
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.
No. The product of two negative numbers is positive.
No, the product of two positive mixed numbers can never be less than one.
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.
No, there are a lot of exceptions to that statement.(1/2) times (1/4) = 1/8 (less than 1/2 and less than 1/4)(5) times (-1) = -5 (less than 5 and less than -1)
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.