AMC10 2012 A

AMC10 2012 A · Q3

AMC10 2012 A · Q3. It mainly tests Distance / midpoint.

A bug crawls along a number line, starting at −2. It crawls to −6, then turns around and crawls to 5. How many units does the bug crawl altogether?

一只虫子沿着数轴爬行，从−2开始。它爬到−6，然后掉头爬到5。虫子总共爬了多少单位距离？

(A) 9 9

(B) 11 11

(D) 14 14

(E) 15 15

Answer

Correct choice: (E)

正确答案：（E）

Solution

The distance from −2 to −6 is $|(-6) - (-2)| = 4$ units. The distance from −6 to 5 is $|5 - (-6)| = 11$ units. Altogether the bug crawls $4 + 11 = 15$ units.

从−2到−6的距离是$|(-6) - (-2)| = 4$单位。从−6到5的距离是$|5 - (-6)| = 11$单位。总共虫子爬了$4 + 11 = 15$单位。

Topics

GE.010 Distance / midpoint