Numbers up to 9999

Every digit in a number has a value based on its position. This is called its place value. For numbers up to 9999, we have four places: Ones, Tens, Hundreds, and Thousands.\n\n* **Ones Place**: The digit in the ones place tells us how many ones are there. (e.g., in 3456, 6 is in the ones place, its value is 6 ones or 6).\n* **Tens Place**: The digit in the tens place tells us how many tens are there. (e.g., in 3456, 5 is in the tens place, its value is 5 tens or 50).\n* **Hundreds Place**: The digit in the hundreds place tells us how many hundreds are there. (e.g., in 3456, 4 is in the hundreds place, its value is 4 hundreds or 400).\n* **Thousands Place**: The digit in the thousands place tells us how many thousands are there. (e.g., in 3456, 3 is in the thousands place, its value is 3 thousands or 3000).\n\nWe can use a Place Value Chart to understand this better:\n| Thousands | Hundreds | Tens | Ones |\n|---|---|---|---|\n| 3 | 4 | 5 | 6 |\n\nThe face value of a digit is the digit itself (e.g., face value of 4 in 3456 is 4).

A number can be written in two main forms:\n\n* **Expanded Form**: When we write a number as the sum of the place values of its digits, it is called its expanded form.\n For example, the number 3456 can be written as:\n 3000 + 400 + 50 + 6\n\n* **Standard Form**: This is the usual way of writing a number using digits.\n For example, 3456 is the standard form of 'Three thousand four hundred fifty-six' or '3000 + 400 + 50 + 6'.

To compare two numbers means to find out which one is greater, smaller, or if they are equal. We use the symbols:\n\n* **>** (greater than)\n* **<** (less than)\n* **=** (equal to)\n\n**Rules for Comparing Numbers:**\n1. **Count the number of digits**: The number with more digits is always greater.\n Example: 999 (3 digits) < 1000 (4 digits)\n2. **If the number of digits is the same**: Start comparing the digits from the leftmost place (the highest place value).\n * Compare the digits in the Thousands place. The number with the greater digit in the Thousands place is greater.\n Example: 7890 and 6890. Here, 7 > 6, so 7890 > 6890.\n * If the Thousands digits are the same, compare the Hundreds digits.\n Example: 7890 and 7980. Here, Thousands digits are both 7. Now compare Hundreds: 8 < 9, so 7890 < 7980.\n * If Hundreds digits are also the same, compare the Tens digits.\n * If Tens digits are also the same, compare the Ones digits.

Arranging numbers in a specific sequence is called ordering.\n\n* **Ascending Order**: Arranging numbers from the smallest to the largest. Think of climbing up a ladder.\n Example: 1234, 2345, 3456 (Smallest to Largest)\n\n* **Descending Order**: Arranging numbers from the largest to the smallest. Think of climbing down a ladder.\n Example: 3456, 2345, 1234 (Largest to Smallest)