EXPLAIN HOW THE 6 IS IN THE THOUSANDS PLACE IN THE NUMBER 364,021

The 6 is in the ten-thousands place.

http://www.mathatube.com/sitebuilder/images/place-value-chart-53-591x461.jpg

To understand why the digit 6 is in the thousands place in the number 364,021, we need to understand the concept of place value in our number system. Our number system is based on powers of 10, where each position represents a different power of 10.

In the number 364,021, let's break down the positions and their corresponding powers of 10:

- The rightmost digit is in the ones place, representing 10^0 (which is equal to 1).
- The second digit from the right is in the tens place, representing 10^1 (which is equal to 10).
- The third digit from the right is in the hundreds place, representing 10^2 (which is equal to 100).
- The fourth digit from the right is in the thousands place, representing 10^3 (which is equal to 1,000).
- The fifth digit from the right is in the ten thousands place, representing 10^4 (which is equal to 10,000).
- The sixth digit from the right is in the hundred thousands place, representing 10^5 (which is equal to 100,000).

Therefore, the digit 6 in the thousands place holds a value of 6 multiplied by 10^3, which is 6,000. In the number 364,021, the digit 6 represents 6,000 in the thousands place.