Adding Subtracting Negative Numbers Worksheet

Introduction to Adding and Subtracting Negative Numbers

When dealing with negative numbers, it’s essential to understand the rules for adding and subtracting them. Negative numbers are used to represent opposite directions or values, such as temperatures below zero or debts. In this blog post, we will explore the basics of adding and subtracting negative numbers, provide examples, and offer a worksheet to practice these operations.

Understanding Negative Numbers

Negative numbers are numbers that have a negative sign (-) in front of them. For example, -5 is a negative number. When adding or subtracting negative numbers, we need to follow specific rules: * When adding two negative numbers, we add their absolute values and keep the negative sign. * When subtracting a negative number from another number, we add the absolute value of the negative number to the other number. * When adding a negative number to another number, we subtract the absolute value of the negative number from the other number.

Rules for Adding and Subtracting Negative Numbers

Here are some key rules to keep in mind: * Adding two negative numbers: (-a) + (-b) = -(a + b) * Subtracting a negative number: a - (-b) = a + b * Adding a negative number: a + (-b) = a - b * Subtracting a positive number: (-a) - b = -(a + b)

Examples of Adding and Subtracting Negative Numbers

Let’s consider some examples to illustrate these rules: * (-3) + (-5) = -(3 + 5) = -8 * 4 - (-2) = 4 + 2 = 6 * (-2) + 5 = -2 + 5 = 3 * (-8) - 3 = -(8 + 3) = -11

Practice Worksheet

Now, let’s practice adding and subtracting negative numbers with a worksheet:

Problem	Solution
1. (-2) + (-5)	__
2. 7 - (-3)
3. (-1) + 4
4. (-9) - 2
5. (-6) + (-2)	___

Answers: 1. -7 2. 10 3. 3 4. -11 5. -8

📝 Note: When solving these problems, remember to follow the rules for adding and subtracting negative numbers, and always keep track of the signs.

As we can see, adding and subtracting negative numbers requires attention to the signs and the rules that govern these operations. By practicing with worksheets and examples, we can become more confident and proficient in working with negative numbers.

In summary, adding and subtracting negative numbers involves following specific rules and being mindful of the signs. With practice and patience, we can master these operations and improve our overall math skills.