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Adding and Subtracting Integers Calculator

Add and subtract positive and negative integers with step-by-step work. Free online integer calculator for adding integers, subtracting integers, and mixed equations.

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What is the Adding and Subtracting Integers Calculator?

The Adding and Subtracting Integers Calculator is a free online tool that helps you solve integer addition and subtraction problems. It handles positive and negative whole numbers, supports parentheses for grouping, and shows step-by-step work so you can see how the result is derived.

Integers are whole numbers that can be positive, negative, or zero. This calculator focuses on addition and subtraction of integers, making it perfect for students learning about negative numbers, teachers preparing lessons, or anyone who needs to quickly compute integer expressions.

How to Use the Integer Calculator

Simply type your integer expression into the input field using numbers, the plus sign (+), the minus sign (-), and parentheses ( ) for grouping. The calculator will automatically evaluate the expression using standard order of operations (PEMDAS) and show you each step of the calculation.

Rules for Adding and Subtracting Integers

When adding integers, if the signs are the same, keep the sign and add the numbers. If the signs are different, subtract the smaller number from the larger number and keep the sign of the larger number. For subtraction, keep the sign of the first number, change subtraction to addition, and change the sign of the following number, then follow the addition rules.

If you are building foundational math skills, explore our Absolute Value Calculator to understand the distance of integers from zero. For working with other number types, try the Comparing Fractions Calculator and the Decimal to Fraction Calculator. You can also use the Long Addition Calculator and Long Subtraction Calculator with Regrouping for more comprehensive arithmetic practice.

Frequently Asked Questions

What are integers?

Integers are whole numbers that can be positive (1, 2, 3...), negative (-1, -2, -3...), or zero (0). They do not include fractions or decimal numbers.

Does this calculator use order of operations (PEMDAS)?

Yes, the calculator follows standard PEMDAS order of operations. Expressions within parentheses are evaluated first, then addition and subtraction are performed from left to right.

Can I use decimal numbers in this calculator?

This calculator is designed for integer arithmetic. While it may accept decimal inputs, the focus is on positive and negative whole numbers for accurate integer calculations.

What do double minus signs (--) mean?

Double minus signs (--) are equivalent to a plus sign (+). For example, 5 -- 3 is the same as 5 + 3 = 8. The calculator automatically simplifies these double signs.

Is the step-by-step work shown?

Yes, the calculator displays each step of the calculation, including simplifying signs, evaluating parentheses, and the final result. This makes it an excellent learning tool for students.