We want to find the distance between - 2 35 and - 1 on a number line. Let's mark the numbers on the number line!
We want to calculate the distance between the points on the diagram. To do so, we will recall that the distance between any two numbers on a number line is the absolute value of the difference of the two numbers.
We will use this information to find the distance between the - 2 35 and - 1. Let's do it!
| - 2 35-( - 1)|
Before we can evaluate an expression involving mixed numbers, the mixed numbers must first be rewritten as fractions.
a bc
a* c+b/c
Simplify
-2 35
-(2* 5+3/5)
-13/5
Now we can substitute - 135 for - 2 35 in our expression.
| - 2 35-( - 1)| ⇔ | -13/5-( - 1)|
Next, let's rewrite - 1 as a fraction with a denominator of 5.
| -13/5-( - 1)| ⇔ | -13/5-( - 5/5)|
Now we can simplify our expression. Recall that to subtract a negative number, we add its opposite. This means that we can rewrite the difference as a sum of - 135 and the opposite of - 55, 55.
