Calculating 25×2 16: A Comprehensive Guide
Understanding the Problem
The problem at hand is to find the equivalent product of 25 times 2 times 16. This calculation involves multiplying three numbers together, which can be a bit tricky. In this article, we will break down the solution step by step and provide a clear understanding of the process.
Step 1: Multiply 25 by 2
To start, we need to multiply 25 by 2. This is a straightforward calculation that can be done using a calculator or by hand.
| Step | Calculation |
|---|---|
| 1 | 25 × 2 = 50 |
| 2 | 50 × 2 = 100 |
Step 2: Multiply 100 by 16
Now that we have the result of the first step, we need to multiply it by 16. This is another straightforward calculation that can be done using a calculator or by hand.
| Step | Calculation |
|---|---|
| 1 | 100 × 16 = 1600 |
| 2 | 1600 × 2 = 3200 |
Step 3: Determine the Equivalent Product
Now that we have the result of the second step, we need to determine the equivalent product. In this case, the result is 3200.
Equivalent Product: 25×2 16
The equivalent product of 25 times 2 times 16 is 3200.
Why is 3200 the Equivalent Product?
There are several reasons why 3200 is the equivalent product of 25 times 2 times 16. One reason is that 25 is a factor of 25, and 2 is a factor of 16. When we multiply these two numbers together, we get 25 × 2 = 50, and then 50 × 16 = 800. However, 800 is not the correct answer. We need to multiply 25 by 2 again to get 50, and then multiply 50 by 16 to get 800. But we can do better than that.
Alternative Calculation
A more efficient way to calculate 25 times 2 times 16 is to use the distributive property of multiplication. We can break down 25 × 2 × 16 as follows:
| Step | Calculation |
|---|---|
| 1 | 25 × 2 = 50 |
| 2 | 50 × 16 = 800 |
| 3 | 800 + 50 = 850 |
Why is 850 the Equivalent Product?
The alternative calculation of 850 is more efficient because it eliminates the need to multiply 25 by 2 again. Instead, we can simply add 800 and 50 to get 850.
Conclusion
In conclusion, the equivalent product of 25 times 2 times 16 is 3200. This calculation involves multiplying three numbers together, and using the distributive property of multiplication can help us find the correct answer more efficiently. By understanding the process of multiplication and using the distributive property, we can solve problems like this one with ease.
Additional Tips and Tricks
- When multiplying numbers, it’s essential to follow the order of operations (PEMDAS). In this case, we need to multiply 25 by 2 first, then multiply the result by 16.
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Using the distributive property of multiplication can help us find the correct answer more efficiently. For example, we can break down 25 × 2 × 16 as follows: Step Calculation 1 25 × 2 = 50 2 50 × 16 = 800 3 800 + 50 = 850 - When multiplying numbers, it’s essential to use the correct order of operations. In this case, we need to multiply 25 by 2 first, then multiply the result by 16.
Common Mistakes to Avoid
- When multiplying numbers, it’s essential to follow the order of operations (PEMDAS). In this case, we need to multiply 25 by 2 first, then multiply the result by 16.
- Using the distributive property of multiplication can help us find the correct answer more efficiently. However, we need to use the correct order of operations to avoid errors.
- When multiplying numbers, it’s essential to use the correct order of operations. In this case, we need to multiply 25 by 2 first, then multiply the result by 16.
Practice Problems
- 3 × 2 × 16
- 25 × 4 × 9
- 2 × 3 × 20
Answers
- 3 × 2 × 16 = 96
- 25 × 4 × 9 = 900
- 2 × 3 × 20 = 120