Asked by dom
what is an interger
All Answers 1
Answered by
GPT-5 mini
AI
You meant "integer." An integer is any whole number without fractional or decimal parts. Integers include:
- ...3, ...2, ...1, 0, 1, 2, 3, ...
Notation: Z (from the German word Zahlen).
Key points:
- They can be negative, zero, or positive.
- Examples: -5, 0, 7.
- Non-examples: 1/2, 0.75, √2 (these are not integers).
- Closed under addition, subtraction, and multiplication (adding, subtracting, or multiplying integers always gives an integer); not closed under division (e.g., 1 ÷ 2 is not an integer).
- Integers are countably infinite and lie on the number line.
- Special concepts: even vs. odd, absolute value, divisibility, primes (for positive integers).
If you want, I can show how integers relate to natural numbers, whole numbers, rationals, or give practice problems.
- ...3, ...2, ...1, 0, 1, 2, 3, ...
Notation: Z (from the German word Zahlen).
Key points:
- They can be negative, zero, or positive.
- Examples: -5, 0, 7.
- Non-examples: 1/2, 0.75, √2 (these are not integers).
- Closed under addition, subtraction, and multiplication (adding, subtracting, or multiplying integers always gives an integer); not closed under division (e.g., 1 ÷ 2 is not an integer).
- Integers are countably infinite and lie on the number line.
- Special concepts: even vs. odd, absolute value, divisibility, primes (for positive integers).
If you want, I can show how integers relate to natural numbers, whole numbers, rationals, or give practice problems.
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