Numbers and Numerals
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Questions and Answers

What is the primary purpose of using numbers?

  • To count and make calculations (correct)
  • To write formal documents
  • To show order and represent quantities (correct)
  • To identify and name numerals

    • What is the difference between a number and a numeral?

  • A number is always written in words, while a numeral is always written in figures
  • A number is a value, while a numeral is a symbol (correct)
  • A number is always represented by a numeral, while a numeral is always represented by a number
  • A number is a symbol, while a numeral is a value

    • What is the Lebombo Bone an example of?

  • An ancient numeral system (correct)
  • A modern numeral system
  • A writing tool
  • A counting stick

    • What is the Base-10 Numeral System?

    <p>The most common and accepted way of representing numbers</p> Signup and view all the answers

    What is the Roman Numeral System?

    <p>A system that uses letters to represent numbers</p> Signup and view all the answers

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

    <p>It is the value recorded on the bone</p> Signup and view all the answers

    What is the purpose of a numeral?

    <p>To represent a value in a specific way</p> Signup and view all the answers

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

    <p>The number 4 is a value, while the numeral IV is a symbol</p> Signup and view all the answers

    Why are numbers and numerals often confused?

    <p>Because they are often used interchangeably</p> Signup and view all the answers

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

    <p>The number of tires on a car</p> Signup and view all the answers

    What does the subscript DEC stand for in the notation for numbers in Base­10?

    <p>Decimal</p> Signup and view all the answers

    What determines the value of each digit in the Base­10 Number System?

    <p>The place of the digit in the numeral</p> Signup and view all the answers

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

    <p>To avoid confusion between different number systems</p> Signup and view all the answers

    What is the total value of the numeral 4862 in Base­10?

    <p>4,000 + 800 + 60 + 2</p> Signup and view all the answers

    What is the subscript notation for Base­16?

    <p>HEX</p> Signup and view all the answers

    What is the place value of the first digit in the numeral 4862 in Base­10?

    <p>10^3</p> Signup and view all the answers

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

    <p>8</p> Signup and view all the answers

    What is the value of each digit in the Base­10 Number System determined by?

    <p>The place value of the digit</p> Signup and view all the answers

    What is unique to the Base­10 Number System?

    <p>None of the above</p> Signup and view all the answers

    What is the purpose of using subscripts in number systems?

    <p>To distinguish between different number systems</p> Signup and view all the answers

    What is a number system?

    <p>An organized group of symbols that represent numbers of a given set in a consistent manner</p> Signup and view all the answers

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

    <p>Because humans have 10 fingers, it's natural to use a base 10 number system</p> Signup and view all the answers

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

    <p>Base-2</p> Signup and view all the answers

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

    <p>To determine the number of digits in the system</p> Signup and view all the answers

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

    <p>1</p> Signup and view all the answers

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

    <p>By combining different combinations of the digits</p> Signup and view all the answers

    What is the decimal number system also known as?

    <p>Base-10 system</p> Signup and view all the answers

    Why are old number systems still used?

    <p>Because they have a specific purpose and place</p> Signup and view all the answers

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

    <p>To determine the value of each place</p> Signup and view all the answers

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

    <p>4</p> Signup and view all the answers

    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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    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.

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