Calculating the Product of 23 and 39
Understanding the Basics of Multiplication
Before diving into the solution, it’s essential to understand the basics of multiplication. Multiplication is a fundamental operation in mathematics that involves repeated addition. When we multiply two numbers, we are essentially adding a number a certain number of times, equal to the first number.
Calculating the Product of 23 and 39
To calculate the product of 23 and 39, we can use the standard multiplication algorithm. Here’s how we can do it:
- Multiply 23 by 30: 23 × 30 = 690
- Multiply 23 by 9: 23 × 9 = 207
- Add the two results together: 690 + 207 = 897
Alternative Method: Using a Calculator
Alternatively, we can use a calculator to find the product of 23 and 39. Here’s how:
- Type in the numbers: 23 × 39
- Press the "Calculate" button
- The result will be displayed on the screen
Which Choice Shows the Product of 23 and 39?
Now that we have calculated the product of 23 and 39, we need to find the correct answer choice. Here are the options:
- Choice 1: 897
- Choice 2: 690 + 207 = 897
- Choice 3: 23 × 30 = 690
- Choice 4: 23 × 9 = 207
The Correct Answer
Based on our calculations, the correct answer is Choice 2: 690 + 207 = 897.
Why is Choice 2 the Correct Answer?
Choice 2 is the correct answer because it accurately represents the product of 23 and 39. We calculated the product using the standard multiplication algorithm, and the result is indeed 897.
Significant Points to Note
- Order of Operations: When multiplying two numbers, we need to follow the order of operations (PEMDAS). In this case, we need to multiply 23 by 30 before multiplying 23 by 9.
- Multiplication Algorithm: The multiplication algorithm involves repeated addition. We can use this algorithm to calculate the product of two numbers.
- Calculator: Using a calculator can be a convenient way to find the product of two numbers.
Conclusion
In conclusion, the product of 23 and 39 is 897. We calculated this using the standard multiplication algorithm and a calculator. The correct answer is Choice 2, which accurately represents the product of 23 and 39. By understanding the basics of multiplication and using the correct algorithm, we can accurately calculate the product of two numbers.