Place value (T1 W2)
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Place value is the value of a digit based on its position in a number. For example, in the number 4,582, the digit 4 is in the thousands place, meaning it represents 4,000. The digit 5 is in the hundreds place, representing 500, and so on. Understanding place value helps us read, write, and compare numbers accurately. We can visualize this using base ten blocks, where each block represents a different place value.
Let's take the number 7,236. To 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). If we add these values together, we get 7,000 + 200 + 30 + 6 = 7,236. This breakdown helps us understand how each digit contributes to the overall value of the number.
Now, let's practice identifying the place values of digits in a number. Consider the number 5,874. What is the value of the digit 8? Students should recognize that 8 is in the hundreds place, so its value is 800. Next, what about the digit 4? It is in the units place, so its value is 4. Work through a few more examples together, asking students to explain their reasoning as they identify the place values.
For independent practice, students will complete a worksheet with various numbers. They will be asked to identify the place value of specific digits, break down numbers into their place value components, and solve problems such as 'What is the value of the digit in the tens place of 6,543?' Encourage students to show their working clearly and check their answers with a partner.
Answer: 300
The digit 3 is in the hundreds place, which represents 300.
Answer: Tens
The digit 0 is in the tens place, meaning it represents 0 tens.
Answer: 5,000
The digit 5 is in the thousands place, so its value is 5,000.
Answer: 2,760
In the number 2,760, the digit 6 is in the tens place.
Answer: 8,000 + 200 + 30 + 1
The breakdown shows the contribution of each digit to the overall number.
Answer: 7,000
The digit 7 is in the thousands place, representing 7,000.
Answer: 200
The digit 2 is in the hundreds place, which represents 200.
Answer: 5
The digit in the hundreds place of 4,512 is 5.