An ant is on top of a tree 232323 meters tall, directly above her home, which is 0.30.30, point, 3 meters below the ground.
Which of the following expressions represents the distance between the ant and her home?
A.) ∣0.3−23∣
B.) ∣23−(−0.3)∣
C.) None of the above
what's with all the duplicate text?
the difference between a and b is b-a or a-b, depending on which is greater.
So, if all you want is the size of the difference, take |a-b| or |b-a|, which are both the same.
To determine the distance between the ant and her home, we need to find the vertical distance between their positions.
First, let's consider the ant's position relative to the tree. The ant is on top of the tree, which is 232323 meters tall. Since the ant is directly above her home, we can subtract the height of the tree from the ant's position to find the distance between them:
Distance between ant and tree top = 232323 meters
Next, we need to consider the ant's position relative to the ground. The ant's home is located 0.3 meters below the ground. To find the vertical distance between the ant and her home, we can add the ant's height on the tree to the distance from her home to the ground:
Distance between ant and home = Distance between ant and tree top + Distance between tree top and ground = 232323 meters + 0.3 meters = 232323.3 meters
Comparing the options provided:
A.) ∣0.3−23∣ = |-22.7| = 22.7 (not equal to 232323.3)
B.) ∣23−(−0.3)∣ = |23.3| = 23.3 (not equal to 232323.3)
Therefore, option C.) None of the above is the correct choice, as none of the given expressions represent the distance between the ant and her home accurately.