Understanding “The Sum of Place Values of 2 in 2424 is”

The phrase “the sum of place values of 2 in 2424 is” refers to a basic mathematical concept related to place value. Essentially, it’s asking you to identify the value of each ‘2’ in the number 2424 and then add those values together. This involves understanding the units, tens, hundreds, and thousands places. By breaking down this concept, we can easily arrive at the correct answer and strengthen our foundational math skills.

Breaking Down Place Value in 2424

Let’s dissect the number 2424. Each digit occupies a specific place, which determines its value. Starting from the right, we have the units place, followed by the tens, hundreds, and thousands.

  • Units Place: The ‘4’ in this position represents 4 ones, or simply 4.
  • Tens Place: The ‘2’ here represents 2 tens, which is 2 * 10 = 20.
  • Hundreds Place: The ‘4’ in the hundreds place signifies 4 hundreds, or 4 * 100 = 400.
  • Thousands Place: The ‘2’ here indicates 2 thousands, meaning 2 * 1000 = 2000.

Now that we’ve identified the place values of each digit, we can focus specifically on the two ‘2’s in the number. One ‘2’ is in the tens place, representing a value of 20. The other ‘2’ is in the thousands place, representing a value of 2000.

Calculating the Sum of the Place Values of 2

To answer the question “the sum of place values of 2 in 2424 is,” we simply add the values of the two ‘2’s together: 2000 + 20 = 2020.

Therefore, the sum of the place values of 2 in 2424 is 2020.

What is the importance of understanding place value?

Understanding place value is crucial for a variety of mathematical concepts, forming the basis for operations like addition, subtraction, multiplication, and division. It’s a fundamental building block in learning more complex mathematical operations.

Conclusion

The sum of the place values of 2 in 2424 is 2020. By understanding the concept of place value, we can easily break down numbers and perform various mathematical operations. This foundational knowledge is essential for progressing in mathematics.

FAQ

  1. What is place value? Place value is the value of a digit based on its position in a number.
  2. What are the place values in the number 2424? From right to left: units, tens, hundreds, thousands.
  3. How do you calculate the sum of place values of a specific digit? Identify the place value of each instance of that digit, then add those values together.
  4. Why is understanding place value important? It’s essential for performing basic arithmetic and more complex mathematical operations.
  5. Can you give another example of calculating the sum of place values? Consider the number 1313. The sum of the place values of 1 would be 1000 + 10 = 1010.

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