Google Calculator with Positive and Negative
Google Calculator is a versatile tool that can handle both positive and negative numbers in various mathematical operations. This guide explains how to use it effectively for calculations involving both types of numbers.
How to Use Google Calculator with Positive and Negative Numbers
Google Calculator is a built-in feature in Google Search that can perform basic arithmetic operations, including those involving positive and negative numbers. Here's how to use it:
Basic Operations
You can perform standard arithmetic operations with positive and negative numbers:
- Addition:
5 + (-3) = 2 - Subtraction:
5 - (-3) = 8 - Multiplication:
5 * (-3) = -15 - Division:
5 / (-2) = -2.5
Parentheses for Complex Expressions
For more complex expressions, use parentheses to group operations:
(5 + (-3)) * 2 = 45 * (-3 + 2) = -5
Exponents and Roots
Google Calculator can handle exponents and roots with negative numbers:
(-3)^2 = 9sqrt(-9) = 3i(imaginary numbers)
Note: Google Calculator uses the standard mathematical rules for handling positive and negative numbers. Remember that multiplying two negative numbers results in a positive number.
Formula and Calculation
The basic arithmetic operations with positive and negative numbers follow standard mathematical rules:
Addition: a + b = sum of a and b
Subtraction: a - b = a + (-b)
Multiplication: a * b = product of a and b
Division: a / b = a * (1/b)
For more complex expressions, the order of operations (PEMDAS/BODMAS) applies:
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (left to right)
- Addition and Subtraction (left to right)
Worked Examples
Example 1: Simple Addition
Calculate: 7 + (-4)
Solution: 7 + (-4) = 3
Example 2: Complex Expression
Calculate: (5 + (-3)) * 2 + 4 / (-2)
Solution:
- Parentheses first: (5 + (-3)) = 2
- Multiplication: 2 * 2 = 4
- Division: 4 / (-2) = -2
- Addition: 4 + (-2) = 2
Final result: 2
Example 3: Exponents
Calculate: (-2)^3
Solution: (-2) * (-2) * (-2) = -8
Frequently Asked Questions
Can Google Calculator handle imaginary numbers?
Yes, Google Calculator can display results involving imaginary numbers (i) when dealing with square roots of negative numbers.
What happens when I divide by zero?
Google Calculator will display "undefined" when you attempt to divide by zero, as this operation is mathematically undefined.
Can I use Google Calculator for scientific notation?
Yes, you can enter numbers in scientific notation (e.g., 1.23e5) and perform calculations with them.