integer 🔊
Meaning of integer
An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal component.
Key Difference
Unlike real numbers, integers do not include fractions or decimals. They are discrete values used for counting and ordering.
Example of integer
- The temperature dropped to -5 degrees Celsius, which is an integer value.
- She bought 12 apples from the market, where 12 is an integer.
Synonyms
whole number 🔊
Meaning of whole number
A number without fractions; an integer.
Key Difference
While all whole numbers are integers, the term 'whole number' is sometimes restricted to non-negative integers (0, 1, 2, ...), whereas 'integer' includes negatives.
Example of whole number
- The number of students in the class is a whole number, 30.
- Whole numbers are used in basic counting, like counting 10 fingers.
digit 🔊
Meaning of digit
A single symbol used to represent numbers in a numeral system (e.g., 0-9 in decimal).
Key Difference
A digit is a single symbol, while an integer is a complete number that can consist of one or more digits.
Example of digit
- The password requires a 6-digit code, where each digit is from 0 to 9.
- Phone numbers are a sequence of digits, not necessarily forming a single integer.
number 🔊
Meaning of number
A mathematical object used to count, measure, and label.
Key Difference
A number can be an integer, fraction, decimal, or irrational, whereas an integer is a specific type of number without fractional parts.
Example of number
- Pi is a number but not an integer because it has an infinite decimal expansion.
- The population of the city is a large number, but it is still an integer.
numeral 🔊
Meaning of numeral
A symbol or group of symbols representing a number.
Key Difference
A numeral is the written representation of a number, while an integer is the abstract concept of a whole number.
Example of numeral
- The numeral 'VII' represents the integer 7 in Roman numerals.
- In Arabic numerals, '42' is the numeral for the integer forty-two.
figure 🔊
Meaning of figure
A numerical value, especially one used in statistics or calculations.
Key Difference
A figure can refer to any numerical value, including decimals, whereas an integer is strictly a whole number.
Example of figure
- The company reported a profit figure of 3.5 million dollars, which is not an integer.
- The exact figure of attendees was 250, an integer.
count 🔊
Meaning of count
The total number determined by counting.
Key Difference
A count is always a non-negative integer, whereas integers can also be negative.
Example of count
- The count of votes was 1,024, a positive integer.
- Keep a count of how many days are left until the event.
quantity 🔊
Meaning of quantity
An amount or number of something.
Key Difference
A quantity can be any measurable amount, including fractions, while an integer is a whole number.
Example of quantity
- Add a small quantity of salt, about half a teaspoon, to the mixture.
- The quantity of books ordered was 50, an integer.
unit 🔊
Meaning of unit
A single thing or person regarded as a complete whole.
Key Difference
A unit refers to a single entity, while an integer can represent multiple whole units.
Example of unit
- Each apartment unit is labeled with an integer for identification.
- The recipe calls for one unit of butter, meaning a whole block.
total 🔊
Meaning of total
The whole amount or sum.
Key Difference
A total can be any sum, including decimals, whereas an integer is a whole number.
Example of total
- The total cost came to 19.99 dollars, not an integer.
- The total number of participants was 100, an integer.
Conclusion
- Integers are fundamental in mathematics for representing exact whole quantities.
- Whole numbers are best when referring to non-negative counts or quantities.
- Digits are used when focusing on individual symbols in a numeral system.
- Numbers encompass all types, including integers, fractions, and irrationals.
- Numerals are the written forms of numbers, useful in different numeral systems.
- Figures are often used in statistical or financial contexts for precise values.
- Counts are specific to non-negative integers, ideal for tallying items.
- Quantities can be general and include non-integer measurements.
- Units emphasize individual entities, while totals aggregate amounts, which may or may not be integers.