Concept 6 of 8Foundation
Watch on YouTubeVideoProperties of integers
Integers obey some handy rules:
- Closure: Adding, subtracting, multiplying integers always gives an integer. (But division may not!)
- Commutative: a + b = b + a and a × b = b × a
- Associative: (a + b) + c = a + (b + c)
- Identity: a + 0 = a and a × 1 = a
- Zero multiplication: anything × 0 = 0
Example
(–3) × 0 = 0. 7 + 0 = 7. 8 × 1 = 8.
💡 Tip:Subtraction is NOT commutative: 5 – 3 ≠ 3 – 5.
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5 questions to check what you just read.
0 / 5
- Q1.Which property is shown: 5 + (−5) = 0?
- Q2.Adding 0 to any integer gives the same integer. This is the:
- Q3.Which property: (2 + 3) + 4 = 2 + (3 + 4)?
- Q4.Which is TRUE for integers?
- Q5.Subtraction of integers is NOT: