Problem 43 Simplify. $$12+(-3)$$... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 2: Problem 43

Simplify. $$12+(-3)$$

Short Answer

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Step by step solution

Identify the Terms

Look at the given expression and identify the terms to be simplified. In this case, the terms are 12 and -3.

Apply Addition Rule

When adding a negative number, it is equivalent to subtraction. So, the expression 12 + (-3) can be rewritten as 12 - 3.

Perform the Calculation

Subtract 3 from 12. 12 - 3 = 9

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Simplifying Expressions

Simplifying expressions is a fundamental skill in mathematics that makes calculations easier to perform. This involves combining like terms and reducing expressions to their simplest form. For instance, in the expression we worked on, we needed to simplify $$12 + (-3)$$, which involved understanding and rewriting the terms.
First, we identified the terms 12 and -3. Then, we recognized that adding a negative number is the same as subtraction. As a result, we simplified the expression to $$12 - 3$$.
Practicing simplifying various mathematical expressions will help you become more efficient in solving complex problems.

Addition of Negative Numbers

Understanding the addition of negative numbers is crucial for mastering arithmetic operations. A negative number is one that is less than zero and is represented with a minus (-) sign. When you add a negative number to a positive number, it's like subtracting the absolute value of that negative number.
For example, in our original problem $$12 + (-3)$$, adding -3 to 12 is equivalent to subtracting 3 from 12. Thus, the expression becomes $$12 - 3$$, which equals 9.
Key points to remember:

Adding a negative number is similar to subtracting its positive counterpart.
Think of the negative sign as telling you to move in the opposite direction on the number line.
Practice these concepts with different numbers to build confidence and familiarity.

Arithmetic Operations

Arithmetic operations are the basic building blocks of all math problems. They include addition, subtraction, multiplication, and division. For our exercise, we focused on addition and understanding how it can entail different processes when involving negative numbers.
Let's recap the steps we took to solve the problem $$12 + (-3)$$:

First, identify the terms: 12 and -3.

Understand that adding a negative number is equivalent to subtracting the positive version of that number: $$12 + (-3) = 12 - 3$$.

Finally, perform the arithmetic operation: $$12 - 3 = 9$$.

By mastering these arithmetic operations and understanding how they interact, especially with negative numbers, you can solve more complex mathematical problems efficiently and accurately.

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91影视

Simplify. $$12+(-3)$$

Short Answer

Step by step solution

Identify the Terms

Apply Addition Rule

Perform the Calculation

Key Concepts

Simplifying Expressions

Addition of Negative Numbers

Arithmetic Operations

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