Integers and Their Arithmetic
Integers are numbers without fractional or decimal parts, including negative numbers, zero, and positive numbers.
Practice This ConceptMain explanation
Teacher explanation
Integer arithmetic depends strongly on signs. Adding a negative means moving left on the number line, subtracting a negative means adding the opposite, and multiplication or division of two same signs gives positive while different signs give negative.
Example
-7 + 3 = -4, -7 - (-3) = -4, (-6) × (-2) = 12, and (-15) ÷ 3 = -5.
Simple analogy
Minus a minus becomes a plus, but only at that operation.
Common confusion
A common mistake is writing -8 - (-5) as -13 instead of changing subtraction of a negative into addition.
Exam tip
In integer simplification, handle brackets and sign changes before doing the final arithmetic.
Study the integers and their arithmetic diagram carefully
Use the labelled diagram to keep integers and their arithmetic clear in short answers and revision.
What this diagram makes clear
This diagram keeps the labels and direction of integers and their arithmetic in the right order.
Where this helps in exams
Use this for labelled diagram work and short exam answers on integers and their arithmetic.
Revision cue
Revise integers and their arithmetic through the labels before writing the answer.
Answer writing and exam use
1-mark use
Write the exact meaning of integers and their arithmetic in one clean line.
2-mark use
Define integers and their arithmetic and add one example or condition.
3-mark use
Explain integers and their arithmetic, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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