integers - Master This Word
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integers Word Meanings
- a whole number; not a fraction
- a number that can be positive, negative, or zero
- used in computing to represent values without decimals
integers Example Sentences
Example sentences are the start of understanding. Don't rush to memorize. First feel how the word works in a sentence.
integers Phonetic & Pronunciation
UK
/ˈɪntɪdʒə/
US
/ˈɪntɪdʒɚ/
integers Word Etymology
Root: 'integer' derives from Latin 'integer', meaning 'whole' or 'untouched'. Historical origin: Latin → Old French → English. Memory image: Picture a complete pie, untouched, representing wholes—not parts.
Note 1: These definitions and etymologies are not standard dictionary definitions, but extended explanations provided to help with memorization and understanding of the actual application of words. Through this background information, we strive to make words more vivid and easier to understand, and help you remember their meanings in real life.
Note 2: LexiTalk designs the learning flow around the linguistics principle of “Comprehensible Input.” When learners encounter material that is slightly above their level but still understandable from context, the brain naturally absorbs the language. That’s why we keep every word inside authentic contexts, using examples and associations to help you understand it and use it flexibly.
Read the FAQ explanation of Comprehensible InputReal Context
An integer is a whole number without a fractional part, and it can be positive, negative, or zero. In mathematics and computing, integers are used to count items, index data, and represent quantities that do not have decimals. The set of integers includes ..., -2, -1, 0, 1, 2, .... In programming languages, integer types store values in binary and have finite ranges depending on the system and type (int, long, etc.). The word comes from Latin integer meaning whole or untouched. A simple image is a complete pie with no slices missing, conveying the idea of a whole quantity rather than a part.
Usage Reminders
- Remember that integers include negative numbers and zero; not all numbers are integers. Distinguish integers from decimals and fractions. Use integers for counting, indexing, and loop counters. In programming, beware of integer overflow in limited ranges. Some contexts use natural numbers to mean nonnegative integers; check your source. Practice mapping real-world quantities to integer values to avoid round-off errors.
Common Misconceptions
- Confusing integers with decimals or fractions
- Thinking only positive numbers are integers
- Believing zero is not an integer
- Assuming all numbers stored in memory are integers
- Mixing up natural numbers with all integers
Thinking Differences
Learners of English may assume integers are only nonnegative due to natural numbers; emphasize that integers include negative values and zero, which is a common source of mistakes in math and coding contexts.
Learning Tips
- Relate integers to real-world counts (people in a room, objects on a shelf).
- Practice listing small integers from -5 to 5 on a number line.
- Compare integers using greater/less than symbols.
- Differentiate integer types in programming (int vs long).
- Remember zero is an integer with unique properties in equations.
- Use flashcards to memorize the concept of wholeness.
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