Cumulative Practice
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The absolute value of a number is its distance from 0 on the number line.
D
We want to find the distance between us and our friend. We know that we are 1.237 miles to the west of school and that our friend is 0.56 miles to the east of school. We can visualize this situation on the number line if we place the school at 0. This means that the negative numbers represent moving to the west and the positive numbers represent moving to the east.
We will use this information to find the distance between ourselves at - 1.237 miles and our friend at 0.56 miles. Let's do it!
We are 1.797 miles away from our friend. This result corresponds to answer D.
Let's consider the distance between different numbers and 0 on the number line.
The distance between our friend and the school is the absolute value of 0.56. This also means that the distance between the school and us is the absolute value of - 1.237. We can calculate how far away we are from our friend if we add the two distances. Let's do it! | 0.56|+| - 1.237|&=0.56+1.237 &=1.797 We found that we and our friend are 1.797 miles apart.