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Question

Difficulty: EasyIntegers, Absolute Value, and Number Lines

Point PP is located at −14-14 on a standard number line. Point QQ is located 88 units from point PP in the positive direction. Point RR is located 1111 units from point QQ in the negative direction. What integer represents the location of point RR?

Answer: -17

Answer

The position of point RR is represented by the integer −17-17.
To find the location of point RR, we first determine the location of point QQ by moving 88 units in the positive direction (right) from point PP (at −14-14), which gives −14+8=−6-14 + 8 = -6. Next, we find the location of point RR by moving 1111 units in the negative direction (left) from point QQ (at −6-6), which gives −6−11=−17-6 - 11 = -17.

Step-by-Step Solution

1
Calculate the position of point QQ.
−6-6
Since point QQ is 88 units from point PP (which is at −14-14) in the positive direction, we add 88 to −14-14: −14+8=−6-14 + 8 = -6.
2
Calculate the position of point RR.
−17-17
Since point RR is 1111 units from point QQ (which is at −6-6) in the negative direction, we subtract 1111 from −6-6: −6−11=−17-6 - 11 = -17.

Key Concept

Adding and subtracting integers on a number line to find positions relative to a starting point.
Estimated Time:45s
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Topics

Integers, Absolute Value, and Number Lines

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