Unit 3 · Measurement and Data

58 CW + 93 ACW — Which Way Now?

Lesson 11 of 13

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About this lesson

Large numbers of quarter-turns collapse to a remainder mod 4. Net CW turns = 58 − 93 = −35. Reduce mod 4 → 1 CW quarter-turn from SE = SW.

Chapters

0:00Introduction
0:21The Question
0:54Finding the net rotational movement
1:21Simplifying turns with modular cycles
1:52Mapping the direct final jump
2:27Exam strategy — inverting large remainder vectors
3:02Confirming the final option

Question

A robot is facing south-east.

It makes 58 quarter-turns clockwise, then 93 quarter-turns anti-clockwise.

In which direction is the robot now facing?

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