Definition of Place Value:

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.

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).

Using Place Value for Rounding:

Round 462 to the nearest 100.

• Step 1: Look at the tens place (which is 6).
• Step 2: Since 6 is greater than 5, we round up.
• Ans: 462 rounded to the nearest 100 is 500.

Round 53 to the nearest 10.

• Step 1: Look at the ones place (which is 3).
• Step 2: Since 3 is less than 5, we round down.
• Ans: 53 rounded to the nearest 10 is 50.

Example 1:

Rounding 543 to the Nearest 10:

1. Identify the tens place: In 543, the tens digit is 4 (so we are rounding to either 540 or 550).
2. Look at the ones place: The ones digit is 3.
   • Since 3 is less than 5, round down.
   • Ans:543 rounded to the nearest 10 is 540.

Example2:

Round 98 to the nearest 10:

• Step 1: Look at the ones place. In 98, the ones digit is 8.
• Step 2: Since the ones digit is 5 or more, round up.
• Ans: 98 rounded to the nearest 10 is 100.

Example 3:

Round 82 to the nearest 10:

• Step 1: Look at the ones place. In 82, the ones digit is 2.
• Step 2: Since the ones digit is less than 5, round down.
• Ans: 82 rounded to the nearest 10 is 80.

Example 4:

Round 57 to the nearest 10:

• Step 1: Look at the ones place. In 57, the ones digit is 7.
• Step 2: If the ones digit is 5 or more, round up.
• Ans: 57 rounded to the nearest 10 is 60.

Example 5:

Round 34 to the nearest 10:

• Step 1: Look at the ones place. In 34, the ones digit is 4.
• Step 2: If the ones digit is less than 5, round down.
• Ans: 34 rounded to the nearest 10 is 30.