## Podcast Beta

## Questions and Answers

What is the primary purpose of using numbers?

What is the difference between a number and a numeral?

What is the Lebombo Bone an example of?

What is the Base-10 Numeral System?

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What is the Roman Numeral System?

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What is the significance of the number 29 in the context of the Lebombo Bone?

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What is the purpose of a numeral?

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What is the difference between the number 4 and the numeral IV?

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Why are numbers and numerals often confused?

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What is the quantity represented by the marbles in the example?

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What does the subscript DEC stand for in the notation for numbers in BaseÂ10?

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What determines the value of each digit in the BaseÂ10 Number System?

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Why is it important to denote the numeral with its proper subscript when working with multiple number systems?

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What is the total value of the numeral 4862 in BaseÂ10?

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What is the subscript notation for BaseÂ16?

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What is the place value of the first digit in the numeral 4862 in BaseÂ10?

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What is the base number of the system that uses the subscript OCT?

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What is the value of each digit in the BaseÂ10 Number System determined by?

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What is unique to the BaseÂ10 Number System?

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What is the purpose of using subscripts in number systems?

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What is a number system?

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Why do you think Base-10 has become the most preferred number system?

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What is the base of a number system that uses only two different characters?

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What is the purpose of a base in a number system?

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What is the value of the rightmost digit in a base-10 number system?

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How do you create different numeric values in a base-10 number system?

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What is the decimal number system also known as?

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Why are old number systems still used?

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What is the role of the base in a number system?

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How many different base number systems will be used in this course?

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## Study Notes

### Numbers and Numerals

- Numbers are values representing a particular quantity for counting, calculation, or showing order.
- Numbers can be expressed in words, symbols, or figures.
- People have used numbers since ancient times, even before formal writing.

### Numbers Versus Numerals

- A number is the same regardless of the numeral used to describe it.
- A numeral is a name given to a number to identify it.
- The same number can be represented by different numerals (e.g., 4, IV, IIII).

### Number Systems

- A number system is an organized group of symbols that represent numbers in a consistent manner.
- Number systems do not change over time, unlike languages.
- Old number systems are still used, even when new ones are created.

### Base Number System

- A base number system is a system that uses a specific number of digits or combination of digits and letters to represent numbers.
- The base of a number system determines the number of characters used.
- Examples of base number systems: Binary (Base-2), Octal (Base-8), Decimal (Base-10), Hexadecimal (Base-16).

### Base-10 Number System

- Base-10 is the most commonly used number system.
- It uses 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
- The base-10 system is also known as the Decimal System.
- The base-10 system is used because it is natural for humans, with 10 fingers.

### Understanding Base-10

- The base-10 system works by combining different combinations of the 10 digits to create different numeric values.
- Each digit in a base-10 number has a place value, which is multiplied by 10 to a power to create the total value.
- The notation for numbers in base-10 is denoted by a DEC (decimal) subscript after the numeral.

### Converting Between Number Systems

- The digits of the base-10 system can be used in other systems, but they represent different values.
- It is important to denote the numeral with its proper subscript when working with multiple number systems.
- Subscript notation for each base number system: BIN (Base-2), OCT (Base-8), DEC (Base-10), HEX (Base-16).

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## Description

Learn about numbers, number systems, and how they are used to represent quantities and make calculations. Understand the basics of numbers and their importance in human communication.