Hi I'm a parent and I'm trying my best to help my son but I need help. The problem is...
Find two positive decimals a and b that make the following statement true. Then find two positive decimals a and b that make the statement false.
If a < 1 and b < 1, then a divided by b < 1. PLEASE HELP....
Since a and b are both positive,
as long as a < b, a/b < 1
if a > b, a/b > 1
So, just pick some values for each case.
a<1 and b<1
Of course, I'd be happy to help you with this problem! To find two positive decimals, a and b, that make the statement true, we can start by choosing small decimals that are less than 1. Let's begin by selecting a = 0.5 and b = 0.25.
Now, let's substitute these values into the statement and see if it holds true:
If a < 1 (0.5 < 1) and b < 1 (0.25 < 1), then a divided by b (0.5 / 0.25) is indeed less than 1.
So, one pair of positive decimals that satisfies the statement is a = 0.5 and b = 0.25.
To find two positive decimals, a and b, that make the statement false, we need to find a scenario where a < 1 and b < 1, but a divided by b is not less than 1.
Let's consider a = 0.25 and b = 0.5.
If a < 1 (0.25 < 1) and b < 1 (0.5 < 1), then a divided by b (0.25 / 0.5) is not less than 1.
Therefore, one pair of positive decimals that makes the statement false is a = 0.25 and b = 0.5.
By using different values that meet the given conditions, we can demonstrate both a true and false outcome for the statement. I hope this helps you and your son! Let me know if you need further clarification or have any additional questions.