Integer

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/integer

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the factorization property?Integers form a unique factorization domain (UFD), allowing for prime factorization
2. What is the cardinality?The set of integers is countably infinite, denoted by $\aleph0$ (aleph-null)
3. Why do we have negative numbers?Negative numbers were first used by people who counted debts or losses. Early thinkers called them "absurd," but mathematicians like Brahmagupta and later Fibonacci and Descartes showed they help solve equations that have no positive solutions.
4. Where does the number zero come from?Zero was invented as a placeholder and a number in its own right. It appeared in India around the 5th century CE and helped people keep track of empty places in counting.

Integral Domain: A commutative ring with unity and no zero divisors.
Countably Infinite: A set whose elements can be put into a one-to-one correspondence with the natural numbers.
Additive Inverse: For any integer 'a', its additive inverse is '-a', such that a + (-a) = 0.