I was wondering if this statement is true or false. The statement is 0 times h(4)= h(0 times 4). Is this true or false and why?
Since 0 times anything is 0 -- what do you think the answer is?
I ended up understanding it on my own anyway, but thanks.
To determine if the statement is true or false, we need to evaluate both sides of the equation and compare the results.
Let's start by analyzing the expression on the left side of the equation: 0 times h(4).
To evaluate this, we need to know the value of h(4). Without any given information about the function h or the value of h(4), we cannot determine its specific value.
However, regardless of the actual value of h(4), multiplying it by 0 will always result in 0. This is because anything multiplied by 0 is always 0.
Now let's look at the expression on the right side of the equation: h(0 times 4).
In this expression, we have the product of 0 times 4, which is 0.
Again, without knowing the value of h(0), we cannot determine its specific value.
Therefore, based on the properties of multiplication, we can conclude that 0 times h(4) and h(0 times 4) on the left and right sides of the equation are equal to 0.
Therefore, the statement 0 times h(4) = h(0 times 4) is true.