My dauther has the following question . She is in 4th Grade. Mr. Wong left his house and drove north for 5 blocks, then turned right and drove 6 blocks, then turned south and drove 2 more blocks. Finally, he turned right again and drove one more block to end up at the library. How many blocks east of Mr. Wong’s house is the library?

all the north-south distances can be ignored.

right from north is east 6 blocks
right from south is west 1 block

so, he ends up 5 blocks east

To find out how many blocks east of Mr. Wong's house the library is, we need to analyze the directions he took. Let's break it down step by step:

1. Mr. Wong drove north for 5 blocks. This means he moved 5 blocks in the upward direction from his starting point.

2. After driving north, he turned right and drove 6 blocks. Since he turned right, he moved towards the east direction by 6 blocks.

3. Then, Mr. Wong turned south and drove 2 more blocks. This means he moved 2 blocks towards the south direction.

4. Finally, he turned right again and drove one more block to end up at the library. Since he turned right, the orientation is towards the west direction. Moving one block in the west direction means moving one block towards the east in terms of the positive x-axis.

To calculate the final position, we need to consider the movements in the x-axis (east) and y-axis (north/south). Since Mr. Wong's movements in the north, south, and east directions cancel each other out, we can ignore them. We're only interested in the movement towards the east at this point.

Therefore, the library is 6 - 1 = 5 blocks east of Mr. Wong's house.

So, the library is located 5 blocks east of Mr. Wong's house.