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When an odd number is added to the product of two even numbers the result will be even Select a counter example to show that the statement is false?
To show that the statement is false, consider the even numbers 2 and 4. Their product is (2 \times 4 = 8), which is even. Now, if we add the odd number 1 to this product, we get (8 + 1 = 9), which is odd. This counterexample demonstrates that the statement is incorrect, as the result can be odd when an odd number is added to the product of two even numbers.
The product of all integers from 1 to 100 will have the following numbers of zeros at the end?
it is 20
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.
Can 28 be a product of prime numbers?
No, because 28 can only be calculated as a product in the following ways: 1 x 28 2 x 14 4 x 7 In the above cases, 28, 14 and 4 are all non-prime numbers, which means that 28 cannot be a product of 2 prime numbers alone.
What is the product of 50?
The product of 50 itself does not really exist, but could be said to be 50. The definition of a product is the answer you get when two numbers are multiplied together. For example the product of 13 and 5 is 65.50 is the product of the following whole numbers:1 & 502 & 255 & 102, 5 & 5It is also the product of non-integer numbers, examples of which include, but are not limited to:0.5 & 1002.5, 4 & 52.5, 2, 2 & 52.5 & 20
Is this statement alwayssometimes or never true. the LCM of two numbers is the product of the two numbers?
sometimes true
If you have a product of two numbers and you find the product of the opposites of the numbers you get the same result.?
yes. An opposite number is the negative of a positive number, for example -5 and +5 are opposite numbers. Since minus x plus is minus and plus x minus is minus and plus x plus is plus and minus x minus is plus then the product of opposites is the same.
When an odd number is added to the product of two even numbers the result will be even Select a counter example to show that the statement is false?
To show that the statement is false, consider the even numbers 2 and 4. Their product is (2 \times 4 = 8), which is even. Now, if we add the odd number 1 to this product, we get (8 + 1 = 9), which is odd. This counterexample demonstrates that the statement is incorrect, as the result can be odd when an odd number is added to the product of two even numbers.
What of the following is a true biconditional statement?
the product of two integers is odd if and only if the two factors are odd
The product of all integers from 1 to 100 will have the following numbers of zeros at the end?
it is 20
Why is it that the LCM and the GFC seem to be opposites of the same thing?
Very astute. The LCM and the GCF have an inverse relationship. Since their product equals the product of the original two numbers, the larger the GCF gets, the smaller the LCM is and vice versa.
What are the two conditional statements from the following Two numbers are reciprocals if and only if their product is 1?
If two numbers are reciprocals, then their product is 1. If the product of two numbers is 1, then they are reciprocals.
Is this statement true if the product of two integers is divisible by 6 one of the integers is also divisible by 6?
That is false. This type of statement is only true for prime numbers, not for compound numbers such as 6. Counterexample: 2 x 3 = 6
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.
Can 28 be a product of prime numbers?
No, because 28 can only be calculated as a product in the following ways: 1 x 28 2 x 14 4 x 7 In the above cases, 28, 14 and 4 are all non-prime numbers, which means that 28 cannot be a product of 2 prime numbers alone.
What two numbers have a product of 108 and a quotient of 12?
Either of the following pairs: (-36, -3) or (36, 3)
What is the product of 50?
The product of 50 itself does not really exist, but could be said to be 50. The definition of a product is the answer you get when two numbers are multiplied together. For example the product of 13 and 5 is 65.50 is the product of the following whole numbers:1 & 502 & 255 & 102, 5 & 5It is also the product of non-integer numbers, examples of which include, but are not limited to:0.5 & 1002.5, 4 & 52.5, 2, 2 & 52.5 & 20
