Place value (T4 W6)
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Place value is the value of a digit based on its position in a number. For example, in the number 345, the digit 3 is in the hundreds place, which means it represents 300. The digit 4 is in the tens place, representing 40, and the digit 5 is in the ones place, representing 5. Understanding place value helps us read, write, and compare numbers effectively.
Let's take the number 472. We can break it down into its place values: 4 is in the hundreds place (400), 7 is in the tens place (70), and 2 is in the ones place (2). So, 472 can be expressed as 400 + 70 + 2. This method helps us understand how much each digit contributes to the overall value of the number.
Now, let's practice together. Look at the number 586. What is the place value of the digit 8? Students should respond that 8 is in the tens place, representing 80. Next, what about the digit 5? It is in the hundreds place, representing 500. Finally, what is the value of the digit 6? It is in the ones place, representing 6. This exercise helps reinforce our understanding of how to identify place values.
Now it's your turn! Solve the following problems on your own: 1) What is the place value of 9 in the number 294? 2) Write the number 631 in expanded form. 3) If you have the number 850, what is the value of the digit 5? Make sure to show your working clearly for each problem.
Answer: 300
The digit 3 is in the hundreds place, which means it represents 300.
Answer: 152
In the number 152, the digit 5 is in the tens place, representing 50.
Answer: 400 + 10 + 7
In expanded form, each digit is broken down according to its place value.
Answer: 20
The digit 2 is in the tens place, which means it represents 20.
Answer: 700
The digit 7 is in the hundreds place, representing 700.
Answer: 504
In the number 504, the digit 4 is in the ones place.
Answer: 60
The digit 6 is in the tens place, which means it represents 60.
Answer: 200 + 50 + 0
In expanded form, we show the value of each digit based on its place.