Integer Calculator
Perform arithmetic and advanced operations with integers including step-by-step solutions
Integer Operations
Please enter a valid number for the first value
Example Calculations
Basic Operations
Addition: 15 + (-8) = 7
Subtraction: -3 - (-7) = 4
Multiplication: (-4) × 5 = -20
Division: 24 ÷ (-8) = -3
Advanced Operations
Exponent: (-3)^4 = 81
Root: ∛(-125) = -5
Logarithm: log₁₀(1000) = 3
Number Line Reference
Positive integers: 1, 2, 3, 4, ...
Negative integers: -1, -2, -3, -4, ...
Zero: Neither positive nor negative
Sign Rules
Multiplication & Division
• Same signs → Positive result
• Different signs → Negative result
Addition & Subtraction
• Use number line movement
• Right for positive, left for negative
Understanding Integers
What are Integers?
Integers are whole numbers that include positive numbers, negative numbers, and zero. They do not include fractions, decimals, or irrational numbers.
Types of Integers
- •Positive integers: 1, 2, 3, 4, ... (also called natural numbers)
- •Negative integers: -1, -2, -3, -4, ...
- •Zero: 0 (neither positive nor negative)
Properties of Integer Operations
Closure Property
Addition, subtraction, and multiplication of integers always result in integers. Division may not always produce integers.
Commutative Property
a + b = b + a and a × b = b × a for all integers a and b.
Associative Property
(a + b) + c = a + (b + c) and (a × b) × c = a × (b × c) for all integers.
Real-World Applications
Financial Calculations
Banking transactions, profit/loss calculations, and debt management all use integer arithmetic with positive numbers representing gains and negative numbers representing losses.
Temperature and Measurements
Temperature readings, altitude measurements (above/below sea level), and scientific calculations often involve both positive and negative integers.