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Enter integers or decimals, select an arithmetic operation, and instantly get results for addition, subtraction, multiplication, and division.
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Use our free Integer Calculator to quickly add, subtract, multiply, or divide integers and get accurate results instantly. This tool also helps you understand how signs affect integer operations, making it a reliable calculator for positive and negative numbers.
Let’s explore the basics of integers and the rules for performing arithmetic operations.
An integer is a whole number without any fractional or decimal part.
Integers include positive numbers, negative numbers, and zero. You can perform all basic arithmetic operations—addition, subtraction, multiplication, and division—on integers.
Examples:
2, -4, 6, 33333, 9378 are all integers.
The number line is a visual tool to understand integers. Moving right increases positive numbers, while moving left increases negative numbers. Our consecutive integer calculator uses this principle to perform arithmetic operations for fast and accurate results.
All numbers to the right of zero are positive integers and increase as you move further right.
All numbers to the left of zero are negative integers, which are considered the mirror image of positive numbers.
Our calculator follows these rules for addition and subtraction of integers:
Same Sign: Add the absolute values and keep the common sign.
(+a) + (+b) = a + b
(-a) + (-b) = -(a + b)
Different Signs: Subtract the smaller absolute value from the larger and keep the sign of the larger number.
(-a) + (+b) = b - a
Subtraction follows similar rules with a sign change:
(+a) - (+b) = a - b
(-a) - (-b) = -(a - b)
(-a) - (+b) = -(a + b)
Integer multiplication and division depend on the signs:
Same signs: (+a) × (+b) = a × b, (-a) × (-b) = a × b
Different signs: (+a) × (-b) = -(a × b)
Same signs: (+a) ÷ (+b) = a ÷ b, (-a) ÷ (-b) = a ÷ b
Different signs: (+a) ÷ (-b) = -(a ÷ b)
Positive exponents: ab = a × a × ... × a (b times)
Negative exponents: a-b = 1 / ab
Roots are the inverse of exponents. Even roots of negative integers are not real.
√[a]{b} where b must be positive.
Logarithms of negative integers do not exist; only positive integers can be used.
Example 1: Subtract -7 and -9
(-7) - (-9) = -7 + 9 = 2
Example 2: Add -4 and -7
(-4) + (-7) = -11
Input:
Output:
The largest 32-bit signed integer is 2,147,483,647.
No, integers are infinite. You can always add 1 to get a larger number.
There is no smallest integer; zero is considered neutral.
-1
Zero is neutral because it is neither positive nor negative.
The absolute value is always non-negative; integers may be positive or negative.
Integers are fundamental in math and daily life. This free integer calculator makes arithmetic operations quick, precise, and easy for both positive and negative numbers.
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