Numeral system

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/numeral-system

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 origin of the hindu-arabic numeral system?Developed in India, disseminated through the Arab world
2. What is the key innovation of modern systems?The inclusion of zero and positional notation
3. Why do we use decimal (base-10) numbers in everyday life?Decimal uses ten digits, which matches the number of fingers we have, so it feels natural and is great for everyday counting and math.
4. How does binary (base-2) help computers work?Binary uses only 0 and 1, which match the on/off states of computer switches, so computers can quickly add, multiply, and store information.

Radix (Base): The number of unique digits, including zero, that a positional numeral system uses.
Non-positional Numeral System: A system where a symbol's value is fixed, regardless of its position (e.g., Roman numerals).
Algorithmic Efficiency: How quickly and effectively a mathematical procedure can be performed using a numeral system.