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Answer
The answer is
[tex]\frac{-63}{2}=-31\frac{1}{2}[/tex]Explanation
The question asks us to find the value of the point where the dot is at on the number line shown.
On that number line, there's -32 at the far left and -30 at the far right. In between these two numbers, there are 8 spaces as indicated by the short dashes and the dot we're concerned about exists on the second short dash.
The difference between -32 and -30 is just 2.
So, this means the eight spaces between the two numbers shown have a total value of 2.
If 8 spaces = 2, then, we can obtain the value of 1 space.
Let the value of 1 space be x
8 spaces = 2
1 space = x
We can write a mathematical relation by cross multiplying
8 × x = 1 × 2
8x = 2
Divide both sides by 8
(8x/8) = (2/8)
x = (1/4) = 0.25
This means that 1 space has a value of 0.25.
Recall that the dot we are concerned about is on the second small dash, covering 2 spaces.
1 space = 0.25
2 spaces = 2 × 0.25 = 0.50
So, our dot exists on the number that is 0.50 more than -32
Our dot exists at -32 + 0.5 = -31.50
-31.50 = -(63/2)
Hence, the answer is
[tex]\frac{-63}{2}=-31\frac{1}{2}[/tex]Hope this Helps!!!
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