91Ó°ÊÓ

Understanding the subtraction of negative numbers can be tricky at first, but with practice, it becomes simple. When you see a problem like 12 - (-22), it might look confusing. The key is to remember an important rule:

Subtracting a negative number is the same as adding its positive counterpart.

Let's break it down. The problem says 12 - (-22). Imagine you have 12 and you need to subtract a negative 22. Instead of getting smaller by taking away, you flip the minus sign into a plus sign. It looks like this: 12 + 22.

So, anytime you see a minus followed by a negative number, just turn it into a plus. Keeping this rule in mind will help you handle these types of problems easily.

Addition of integers is a fundamental concept in mathematics. It simply involves combining two whole numbers together. To add 12 and 22 from our example:

1. Line up the numbers vertically or think of them on a number line.
2. Start with the first number, which is 12.
3. Move 22 steps to the right on the number line.
4. Count the steps to reach your final number, which is 34.

So, 12 + 22 equals 34.

Understanding how to add integers is crucial as it forms the backbone for more complex arithmetic operations you'll encounter in algebra and beyond.

Integer arithmetic rules provide a framework for performing calculations with whole numbers, whether they are positive or negative. Here are some key rules to remember:

• Addition: When adding two positive integers, the result is always positive. When adding two negative integers, add their absolute values and place a negative sign in front of the result.

• Subtraction: Subtracting a positive number from another number decreases its value. Subtracting a negative number from a positive number increases its value, as we saw with our example 12 - (-22).

• Multiplication: The product of two positive integers is positive. The product of two negative integers is also positive. The product of a positive integer and a negative integer is negative.

• Division: The division rules are similar to multiplication. Dividing two positive or two negative integers results in a positive quotient. Dividing a positive integer by a negative integer or vice versa results in a negative quotient.

Remembering these fundamental rules helps simplify operations with integers, making math problems more manageable and less intimidating.