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How would you Explain how you would decide whether the product of three numbers is positive or negative?
If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.
Numbers less than 30 expresed as a product number of three prime numbers?
No
When is the product of three integers larger than either of them?
"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.
What is the product of two negative and three positive numbers?
It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.
The product of three numbers is 54 two of the numbers are 2 and 3 what is the third number?
To find the third number, you can use the fact that the product of the three numbers is 54. Since two of the numbers are 2 and 3, you can divide 54 by the product of these two numbers to find the third number. So, 54 / (2*3) = 9. Therefore, the third number is 9.
The sum of a number and three times another number is 18. find the numbers if their product is a maximum?
"The sum of a number and three times another number is 18. find the numbers if their product is a maximum?"
How would you Explain how you would decide whether the product of three numbers is positive or negative?
If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.
What is the product of the first three whole numbers?
If zero is counted as a whole number, then the first three whole numbers are zero, one and two and the product of ANY series containing zero is ZERO. If, on the other hand, only non-zero numbers are considered, then the series is one, two and three and the product is six.
Is 20 a number that is the product of three different prime numbers?
No.
Numbers less than 30 expresed as a product number of three prime numbers?
No
What is the sign of the product of 47 negative numbers and three positive numbers?
Negative because product of 47 negative numbers is negative and product of three positive number is Positive , so negative*positive = Negative.
Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1 Find the middle number?
four
Is twenty the number that is the product of exactly three different prime numbers?
No.
Is 15 a number that is a product of exactly three different prime numbers?
No. 15 is the product of two prime numbers: 3 and 5
When is the product of three integers larger than either of them?
"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.
What is the product of two negative and three positive numbers?
It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.
The product of three numbers is 54 two of the numbers are 2 and 3 what is the third number?
To find the third number, you can use the fact that the product of the three numbers is 54. Since two of the numbers are 2 and 3, you can divide 54 by the product of these two numbers to find the third number. So, 54 / (2*3) = 9. Therefore, the third number is 9.
