Which of the following numbers is farthest from the number 1 on the number line?

游客2024-01-12  11

问题 Which of the following numbers is farthest from the number 1 on the number line?

选项 A、-10
B、-5
C、0
D、5
E、10

答案 A

解析 Circling each of the answer choices in a sketch of the number line(Figure 4)shows that of the given numbers, -10 is the greatest distance from 1.

Another way to answer the question is to remember that the distance between two numbers on the number line is equal to the absolute value of the difference of the two numbers. For example, the distance between -10 and 1 is |-10-l| = 11, and the distance between 10 and 1 is |10 - 1| = |9| = 9.
The correct answer is Choice A, -10.
This explanation uses the following strategy.
Strategy 2: Translate from Words to a Figure or Diagram
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