How do I answer this......Barry says 9x8x(any other number) will always be greater than the product of 2x9x4. Do you agree? Explain?
nah.
"any number" can be negative
9 x 8 x any number = 72 x any number
2 x 9 x 4 = 72
the second one the FINAL answer is 72
the first one will be higher
if you multiply 72 by any other number but 1, because 72 x 1 = 72, then they will be equal
but if any number is greater than 1, then the first will be higher
I hope you can understand
but ....
what if the "any other number " is a proper fraction?
so the "any other number" has to be > 1
To determine whether Barry's statement is true or false, we need to compare the product of 9x8 multiplied by any number with the product of 2x9x4.
Let's calculate both products to analyze their values:
Product A = 9x8x(any other number)
Product B = 2x9x4
For simplicity, let's assume "any other number" is represented by the variable "n."
Product A = 9x8xn = 72n
Product B = 2x9x4 = 72
Based on the calculations, we can see that Product A is 72n, where n represents any other number, and Product B is a constant 72.
Now, let's analyze Barry's statement that Product A will always be greater than Product B.
To evaluate if Barry's statement is correct or not, we need to consider the value of "n."
If n is any positive number greater than 1, then Product A will be greater than Product B.
For example, if we take n = 2, then Product A = 72x2 = 144, which is greater than Product B = 72.
However, if n is a number less than or equal to 1, then Product A will be lesser than or equal to Product B.
For example, if we take n = 0.5, then Product A = 72x0.5 = 36, which is lesser than Product B = 72.
Therefore, Barry's statement is not entirely accurate. It is true only when "any other number" (n) is any positive number greater than 1.