Answer:
i. 10 units (Carol's house is 10 units on the right from Ann's house)
ii. -10 units (Carol's house is 10 units on the left to Ann's house)
Step-by-step explanation:
A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).
In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.
Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.
Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.
So that,
The possible locations of Carol's house depends on its position with respect to Ann's house.
i. Carol's house = 8 + 2
= 10 units
This implies that Carol's house is 10 units on the right from Ann's house.
ii. Carol's house = - 8 - 2
= -10 units
This implies that Carol's house is 10 units on the left to Ann's house.
