Cumulative Practice
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The absolute value of a number is its distance from 0 on the number line.
I
Let's consider the given number line!
We want to find the distance between - 74 and 38 on the number line. First, we can recall that the distance between any two numbers on a number line is the absolute value of the difference of the two numbers.
We can use this information to find the distance between - 74 and 38. |- 7/4 -3/8| When adding or subtracting fractions they should have the same denominator. In this case, we have two fractions with different denominators. Since 8 is a multiple of 4, we can start by multiplying both the numerator and denominator of - 74 by 2 to create a common denominator.
Now, we can subtract the fractions. Let's do it!
Put minus sign in numerator
Subtract fractions
Subtract term
Put minus sign in front of fraction
|17/8|=17/8
Write fraction as a mixed number
The distance between two number equals 2 18. This result corresponds to answer I.