Problem 78 Describe the difference between ... [FREE SOLUTION]

Chapter 4: Problem 78

Describe the difference between a number and a numeral.

Short Answer

Expert verified

A number is an abstract concept denoting a quantity, while a numeral is a symbol or collection of symbols that represent a number. For instance, 'three' is a number while '3' or 'III' are numerals that represents the number 'three'.

Step by step solution

- Understanding Number

A number denotes a mathematical object used to count, measure, and label. It represents the abstract concept of quantity. Numbers can be in different forms - natural numbers, integers, rational numbers, real numbers etc. For example, 'three' is an abstract concept that can refer to three apples, three oranges or three books etc.

- Understanding Numeral

A numeral is a symbol or group of symbols that represents a number. Numerals allow us to express numbers in a written or otherwise physical form. For instance, '3' is a numeral that represents the concept of 'three'. There are different systems of numerals like Roman numerals (I, II, III, IV, V etc.) and Arabic numerals (1, 2, 3, 4, 5 etc.).

- Highlighting the Difference

Mainly, a number is an abstract concept meant to represent a quantity, while a numeral is a symbol or collection of symbols used to express that number. For example, the concept of having two elements is represented by the number 'two', and it can be written with the numeral '2' in the Arabic numeral system, or 'II' in the Roman numeral system.

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91影视

Describe the difference between a number and a numeral.

Short Answer

Step by step solution

- Understanding Number

- Understanding Numeral

- Highlighting the Difference

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