a number line below
-5 -4 -3 -2 -1 0 1 2 3 4 5
Which of the expressions below represent the distance between -4 and 5 on the number line? [ ]= absolute value symbol
A. [-4+5]
B.[4-5]
C.[-4-5]
d.[-5-(-4)]
I believe it is D, since the absolute value of a neg. number is positive. When it is in parenthesis first you do the absolute value and the mult. by the -4 keeping the answer ranging from 5-4 on the number line.
Is this correct.
Thank you for your help
Thank you, I wasn't thinking the distance, I was thinking the actual numbers of -4 and 5, you helped me see how this is done. Thanks a lot
No, your understanding is not correct. The expression that represents the distance between -4 and 5 on the number line is A. [-4+5].
Here's why: The distance between two points on a number line is calculated by subtracting the smaller number from the larger number. In this case, the larger number is 5 and the smaller number is -4. To find the distance, you would subtract -4 from 5, which gives you 9.
The absolute value symbol ([ ]) is not needed in this case because the distance between -4 and 5 is a positive value. Absolute value is only used when you want to find the magnitude or distance from 0, regardless of the sign.
So the correct expression is A. [-4+5] which results in 9.
Yes, you are correct. The expression that represents the distance between -4 and 5 on the number line is D. Let's break it down to understand why.
The expression [-5 - (-4)] can be simplified as [-5 + 4].
When subtracting a negative number, you can think of it as adding the opposite. So, -(-4) is the same as +4.
So, [-5 + 4] equals -1. However, since we are looking for the distance between -4 and 5, the answer should be a positive value.
To find the distance, we take the absolute value of the expression. The absolute value of -1 is 1.
Therefore, the distance between -4 and 5 on the number line is 1.
By just counting you know the distance is 9
the only expression that will give you 9 is
|-4-5| = |-9| = 9
You have to do the stuff inside the absolute value first, then take the absolute value.