Simplify The Expression 2 × 3 × 2 Easily Explained
Table of Contents :
To simplify the expression (2 \times 3 \times 2), we can break down the process step by step. This type of arithmetic is fundamental in mathematics and forms the basis for more complex calculations. Let’s dive into the details!
Understanding the Components
First, let's look at the components of the expression:
- 2: This is the first factor.
- 3: This is the second factor.
- 2: This is the third factor.
When we multiply numbers, we are essentially adding the same number multiple times. For instance, multiplying 2 by 3 can be thought of as adding 2 three times.
Step-by-Step Simplification
To simplify the expression (2 \times 3 \times 2), we can follow these steps:
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Multiply the first two numbers:
- Start with (2 \times 3 = 6).
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Multiply the result by the last number:
- Now take the result (6) and multiply it by the last 2:
- (6 \times 2 = 12).
Thus, the simplified form of (2 \times 3 \times 2) is (12).
Visual Representation
To help visualize the multiplication process, we can create a table that illustrates each step:
<table> <tr> <th>Step</th> <th>Expression</th> <th>Result</th> </tr> <tr> <td>1</td> <td>2 × 3</td> <td>6</td> </tr> <tr> <td>2</td> <td>6 × 2</td> <td>12</td> </tr> </table>
Quick Tips for Multiplication
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Order of Multiplication: It doesn’t matter in what order you multiply the numbers. The result will always be the same due to the commutative property. For example, (2 \times 3 \times 2) is the same as (3 \times 2 \times 2).
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Grouping: You can also group numbers to make the multiplication easier. For instance, you could do ( (2 \times 2) \times 3):
- Calculate (2 \times 2 = 4), then (4 \times 3 = 12).
Conclusion
In summary, simplifying the expression (2 \times 3 \times 2) leads us to the result of (12). This straightforward process involves basic multiplication, which can be performed in a variety of ways. Understanding these principles will help lay a strong foundation for tackling more complex mathematical problems in the future. Keep practicing, and these calculations will become second nature! 😊