Place values:
Place value refers to the value of each digit in a number based on its position. Each digit has a specific value depending on whether it is in the ones, tens, hundreds, thousands, etc. For example, in the number 462, the digit 4 is in the hundreds place, representing 400, while 6 is in the tens place, representing 60, and 2 is in the ones place, representing 2.
Example: Understanding Place Value
Let's break down the number 567:
- Hundreds place (5): The 5 represents 500 because it is in the hundreds place (5 × 100).
- Tens place (6): The 6 represents 60 because it is in the tens place (6 × 10).
- Ones place (7): The 7 represents 7 because it is in the ones place (7 × 1).
So, the number 567 is made up of:
- 500 (5 hundreds) + 60 (6 tens) + 7 (7 ones).
Example 2: Rounding 382 to the Nearest 100
- Identify the hundreds place: In 382, the hundreds digit is 3 (so we are rounding to either 300 or 400).
- Look at the tens place: The tens digit is 8.
- Since 8 is greater than 5, round up.
Answer: 382 rounded to the nearest 100 is 400.
Example 3: Rounding 543 to the Nearest 10
- Identify the tens place: In 543, the tens digit is 4 (so we are rounding to either 540 or 550).
- Look at the ones place: The ones digit is 3.
- Since 3 is less than 5, round down.
Answer: 543 rounded to the nearest 10 is 540.
Example 4: Understanding Place Value in 806
- Hundreds place (8): The digit 8 is in the hundreds place, representing 800.
- Tens place (0): The digit 0 is in the tens place, so it represents 0.
- Ones place (6): The digit 6 is in the ones place, so it represents 6.
So, 806 is made up of:
- 800 (8 hundreds) + 0 (0 tens) + 6 (6 ones).
Example 5: Rounding 276 to the Nearest 100
- Identify the hundreds place: In 276, the hundreds digit is 2 (so we are rounding to either 200 or 300).
- Look at the tens place: The tens digit is 7.
- Since 7 is greater than 5, round up.
Answer: 276 rounded to the nearest 100 is 300.
These examples help students visualize how digits in a number represent different values and how rounding works based on place value understanding.
Let's practice solving Place values, and stay tuned with us for more content
