Place value (T3 W8)
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Place value refers to the value of a digit depending on its position within a number. For example, in the number 4,582, the digit '4' is in the thousands place, which means it represents 4,000. Understanding place value is crucial for performing operations with numbers and for comparing their sizes. Each position in a number has a specific value, and as you move from right to left, each position is ten times greater than the one before it.
Let's take the number 7,236. To identify the place value of each digit, we can break it down: The '7' is in the thousands place (7,000), the '2' is in the hundreds place (200), the '3' is in the tens place (30), and the '6' is in the units place (6). Therefore, the total value of the number can be expressed as 7,000 + 200 + 30 + 6 = 7,236.
Now, let's practice identifying place values together. Consider the number 5,489. What is the value of the digit '5'? Students should respond that '5' is in the thousands place, representing 5,000. Next, what about '4'? It is in the hundreds place, representing 400. Continue this process with the digits '8' and '9', guiding students to articulate their reasoning and confirm their understanding.
For independent practice, students will complete a worksheet with various numbers. They will be asked to identify the place value of specific digits in each number. For example, in the number 9,472, students should identify that the '9' is in the thousands place, the '4' is in the hundreds place, and so on. Encourage students to show their working clearly to reinforce their understanding.
Answer: 300
The digit '3' is in the hundreds place, which represents 300.
Answer: 200
The digit '2' is in the hundreds place, which represents 200.
Answer: 8
The digit '8' is in the tens place, representing 80.
Answer: 5,000
The digit '5' is in the thousands place, which represents 5,000.
Answer: 4
The digit '4' is in the units place, representing 4.
Answer: 2,018
The total value of the number is 2,018, which includes all place values.
Answer: 2,610
In the number 2,610, the digit '6' is in the tens place.
Answer: 9,000
The digit '9' is in the thousands place, representing 9,000.