Understanding Place Value and Rounding

Understanding Place Value

• Place value is crucial for rounding. Understanding the value of each digit in a number helps determine which hundred the number is closest to.
• Digits in the ones place have a value of 1.
• Digits in the tens place have a value of 10.
• Digits in the hundreds place have a value of 100.

Identifying the Hundreds Place

• Locate the hundreds place digit in the number you are rounding.
• This digit tells you the "base" hundred. For example, if the number is 432, the hundreds place is 4, meaning the number is in the 400s.

Rounding Rules for Hundreds

• If the tens digit (the digit to the right of the hundreds digit) is 5 or greater, round up to the next hundred.
• If the tens digit is 4 or less, round down to the same hundred.

Examples of Rounding to the Nearest Hundred

• Example 1: Round 432 to the nearest hundred. The tens digit is 3, which is less than 5. Therefore, the number rounds down to 400.
• Example 2: Round 482 to the nearest hundred. The tens digit is 8, which is greater than or equal to 5. Therefore, the number rounds up to 500.
• Example 3: Round 743 to the nearest hundred. The tens digit is 4, which is less than 5. Therefore, the number rounds down to 700.
• Example 4: Round 228 to the nearest hundred. The tens digit is 2, which is less than 5. Therefore, the number rounds down to 200.

Visualizing the Process

• Imagine a number line with hundreds marked.
• Determine which hundred the number falls between.
• Decide if the number is closer to the lower hundred or the higher hundred on the number line.

Practice Problems

• Round 158 to the nearest hundred
• Round 325 to the nearest hundred.
• Round 683 to the nearest hundred.
• Round 946 to the nearest hundred.
• Round 212 to the nearest hundred.

This quiz focuses on the concept of place value and its importance in rounding numbers to the nearest hundred. It covers identifying the hundreds place, rules for rounding, and provides examples for better understanding. Test your knowledge of these fundamental math concepts!