R1
Basic Modular Arithmetic
基本模运算
Remainder / 余数Grades G4 - G6
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What It Looks Like
Recognition signals — when you see these, think of this structure:
- 1Questions about divisibility
- 2Finding remainder after division
- 3Operations with modular arithmetic
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What It Really Tests
The core mathematical idea behind this structure:
Remainders follow predictable patterns when adding, subtracting, or multiplying.
加减乘时余数遵循可预测的模式。
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Why Students Get Stuck
Common mistakes to watch out for:
- ⚠Computing the full number before taking remainder
- ⚠Not simplifying remainders at each step
- ⚠Mixing up modulo rules for different operations
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Your First Step
How to begin thinking about problems with this structure:
Work with remainders throughout, don't wait until the end to take the remainder.
全程使用余数计算，不要等到最后才取余数。
Related Structures
These structures share similar patterns or thinking approaches: