# How do place values work?

In decimal number system, the value of a digit depends on its place or position** , in the whole number.

*"For example, the value of the first place on the right is "one", the value of the place to the left of it is "ten," which is 10 times 1. The place to the left of the tens place is hundreds, which is 10 times 10, and so forth. Each place has a value of 10 times the place to its right."* [https://tutor.hix.ai

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Place values refer to the value of a digit in a number based on its position or place within the number. In our base-10 number system, each place value represents a power of 10. The places start from the right and move left, with the value of each place increasing by a factor of 10.

Here are the common place values in a whole number, moving from right to left:

- Ones
- Tens
- Hundreds
- Thousands
- Ten thousands
- Hundred thousands
- Millions
- Ten millions
- Hundred millions
- Billions
- Ten billions
- Hundred billions

Each place value is 10 times greater than the one to its immediate right. For example, in the number 123, the digit 3 is in the ones place, the digit 2 is in the tens place (representing 2 * 10), and the digit 1 is in the hundreds place (representing 1 * 100).

Understanding place values is essential for reading, writing, and manipulating numbers, as it helps to determine the actual value of each digit within a number.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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