Place value (T2 W10)
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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 large numbers effectively.
Let's take the number 3,276. To break it down: the 3 is in the thousands place (3,000), the 2 is in the hundreds place (200), the 7 is in the tens place (70), and the 6 is in the ones place (6). If we add these values together, we get 3,000 + 200 + 70 + 6 = 3,276. This shows how each digit contributes to the overall value of the number.
Now, let's practice identifying the place value of digits in a number. I will write the number 5,431 on the board. Can anyone tell me what the value of the digit 5 is? (Pause for responses.) Correct! The 5 is in the thousands place, so it represents 5,000. Let's do another one together: what is the value of the digit 1 in the same number? (Encourage students to respond.) Yes, the 1 is in the tens place, representing 10.
Now it's your turn to practice independently. Solve the following problems: 1. What is the value of the digit 7 in the number 7,245? 2. Write the number 6,803 in expanded form. 3. If you have the number 9,156, what is the value of the digit 9? Show your working clearly for each problem.
Answer: 3,000
The digit 3 is in the thousands place, so it represents 3,000.
Answer: 600
The digit 6 is in the hundreds place, representing 600.
Answer: 4,000 + 200 + 5
In expanded form, each digit is shown with its place value.
Answer: 2,000
The digit 2 is in the thousands place, so it represents 2,000.
Answer: 100
The digit 1 is in the hundreds place, representing 100.
Answer: 6
The digit 6 is in the tens place.
Answer: 5,000
The digit 5 is in the thousands place, so it represents 5,000.
Answer: It shows that there are no tens, keeping the place value correct.
The digit 0 indicates that there are no tens in the number, which is crucial for understanding its value.