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When is the product of three integers larger than either of them?
Wiki User
∙ 6y ago
"Either" is used for two. I'll assume that you mean "larger than ANY of them".
The following applies to ANY real numbers.For TWO numbers, the product is larger than either of them if both numbers are greater than one.
For THREE numbers, the product is larger than any of them if the two numbers OTHER than the largest number have a product greater than one. For example:
0.5, 3, 5
The largest number here is 5; the product of the OTHER two is 0.5 x 3 = 1.5.
Or here is an example with integers:
-5, -3, 10
The product of the "other two" numbers is 15, which is larger than one - so the product of all three is larger than the largest number (and therefore, larger than ANY of them). Another example:
-5, 1, 10
The product of the two numbers OTHER than the largest is -5 x 1 = -5; since this is NOT greater than 1, the product of all three is NOT greater than any of the numbers.
This reasoning can be extended to four or more numbers. For 4 numbers: If the product of all three numbers OTHER than the largest one is GREATER than one, then the product of ALL FOUR numbers is greater than ANY of them.
Wiki User
∙ 6y ago
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Is the product of 3 integers positive or negative?
It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.
Is the product of 3 positive integers positive?
It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.
What is the larger number if two negative consecutive odd integers has a product of sixty-three?
-7
How do you translate the product of two consecutive multiple of three integers into a algebraic expression?
the product of two consicutive multiple of three integers
What is the sign of the product of three negative integers?
It is negative.
Is the product of 3 integers positive or negative?
It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.
Is the product of 3 positive integers positive?
It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.
What is the larger number if two negative consecutive odd integers has a product of sixty-three?
-7
The product of three consecutive integers is 9240 find the integers?
9240 is the product of the three consecutive integers 20, 21, and 22.
What is the sign of the product of three integers with same sign?
What is the product of three same sign of integers
Why is the product of any consecutive integers divisible by 6?
There must be three consecutive integers to guarantee that the product will be divisible by 6. For the "Product of three consecutive integers..." see the Related Question below.
How do you translate the product of two consecutive multiple of three integers into a algebraic expression?
the product of two consicutive multiple of three integers
How many integers must be negative for the product of three integers to be negative?
One or three.
What is the sign of the product when you multiply three negative integers?
The sign of a product of three negative integers is a negative sign.Example:-3*-3*-3=-27
What is the sign of the product of three negative integers?
It is negative.
What is the sign of the product of three integers with the same sign?
The product of three positive numbers is positive. The product of three negative numbers is negative.
If the sum of three consecutive integers is 24 what is the product of these three integers?
7+8+9=24 7x8x9=504
