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Mathematics Summary
Topic: The Four Operations
1Four Operations Reference
| Operation | Symbol | Key meanings | Number relationship | Key words | Memory phrase |
|---|---|---|---|---|---|
| Addition | + | Combine; add together; find the total; increase | Part + Part = Whole | add, plus, sum, total, altogether, increased by, combined | Addition joins quantities together |
| Subtraction | - | Take away; find the difference; compare quantities; decrease | Whole - Part = Remaining Part | subtract, minus, difference, take away, fewer, decrease, left, remaining | Subtraction finds what is left or different |
| Multiplication | x | Equal groups; repeated addition; scale up; find a product | Factor × Factor = Product | multiply, times, product, groups of, double, triple, repeated, each | Multiplication combines equal groups |
| Division | ÷ | Share equally; split into groups; find how many groups; reverse multiplication | Dividend ÷ Divisor = Quotient | divide, quotient, shared equally, split, groups, each, per, out of | Division separates a quantity into equal groups |
2Operations That Undo Each Other
- Addition <→ Subtraction
- Multiplication <→ Division
- Addition and subtraction are inverse operations
- Multiplication and division are inverse operations
- Inverse operations can be used to check answers
Inverse operations undo each other.
3Choose the Operation
- Joining amounts? → Addition
- Finding the difference? → Subtraction
- Working with equal groups? → Multiplication
- Sharing or splitting equally? → Division
4How to Memorise Quickly
- Learn the symbol for each operation
- Connect the symbol to its meaning
- Memorise the common question words
- Learn inverse-operation pairs
- Cover the headings and identify each operation
- Practise choosing the operation before calculating
53-Minute Recall Routine
- 1 minute: Say the four symbols and operation names
- 1 minute: Recall the key words for each operation
- 1 minute: Match each operation with its inverse
6Remember Faster
- Focus on the meaning, not only the symbol
- Group key words under the correct operation
- Remember addition and subtraction as a pair
- Remember multiplication and division as a pair
- Look for equal groups before choosing multiplication
- Look for sharing before choosing division
- Read the complete question before selecting an operation
Quick Tip
Before calculating, decide what the question is asking: join, take away, equal groups, or share equally.