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How to Calculate Negative Integer

Reviewed by Calculator Editorial Team

Negative integers are whole numbers that are less than zero. They are fundamental in mathematics and have practical applications in various fields. This guide explains how to work with negative integers, including basic operations and real-world examples.

What is a Negative Integer?

A negative integer is a whole number that is less than zero. The set of negative integers includes numbers like -1, -2, -3, and so on. These numbers are distinct from positive integers (1, 2, 3, ...) and zero.

Negative integers are used to represent quantities that are below a reference point, such as temperatures below freezing, financial debts, or positions below sea level. They are essential in various mathematical operations and real-world applications.

How to Calculate with Negative Integers

Working with negative integers involves understanding the rules of arithmetic operations. Here are the basic rules:

  • Addition: Adding two negative integers results in a negative integer. For example, -3 + (-2) = -5.
  • Subtraction: Subtracting a negative integer is the same as adding its positive counterpart. For example, -5 - (-3) = -5 + 3 = -2.
  • Multiplication: Multiplying two negative integers results in a positive integer. For example, -4 × -3 = 12.
  • Division: Dividing two negative integers results in a positive integer. For example, -12 ÷ -3 = 4.

Formula for Negative Integer Operations:

  • a + (-b) = a - b
  • a - (-b) = a + b
  • (-a) × (-b) = a × b
  • (-a) ÷ (-b) = a ÷ b

Common Operations with Negative Integers

Negative integers are used in various mathematical operations. Here are some common examples:

Operation Example Result
Addition -5 + (-3) -8
Subtraction -7 - (-2) -5
Multiplication -4 × -6 24
Division -15 ÷ -3 5

Real-World Examples

Negative integers are used in various real-world scenarios:

  • Temperature: A temperature of -5°C is 5 degrees below freezing.
  • Finance: A bank balance of -$100 indicates a debt of $100.
  • Elevation: A depth of -100 meters is 100 meters below sea level.

Negative integers are essential in representing quantities that are below a reference point. They are used in various fields, including mathematics, science, and finance.

FAQ

What is the difference between a negative integer and a negative number?

A negative integer is a whole number that is less than zero, such as -1, -2, -3, etc. A negative number can be any real number less than zero, including fractions and decimals.

How do you multiply two negative integers?

Multiplying two negative integers results in a positive integer. For example, -4 × -3 = 12.

What is the result of dividing two negative integers?

Dividing two negative integers results in a positive integer. For example, -12 ÷ -3 = 4.