Place value (T1 W2)
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Place value is the value of a digit depending on its position in a number. For example, in the number 34, the digit 3 is in the tens place, which means it represents 30, while the digit 4 is in the ones place, representing 4. Understanding place value helps us read, write, and compare numbers accurately.
Let's take the number 57. The digit 5 is in the tens place, so it represents 50. The digit 7 is in the ones place, so it represents 7. Therefore, 57 can be broken down into 50 + 7. When we write it in expanded form, it looks like this: 5 tens + 7 ones.
Now, let's practice together! I will say a number, and you will tell me the value of each digit. For example, if I say 82, what is the value of the digit 8? (Students respond: 80). What about the digit 2? (Students respond: 2). Great job! Let's try a few more numbers: 46, 91, and 73.
Now it's your turn to solve some problems on your own. Write the following numbers in expanded form: 24, 39, and 51. Then, for each number, identify the value of the tens and ones digits. Remember to show your working clearly!
Answer: 60
The digit 6 is in the tens place, so it represents 60.
Answer: 40
The digit 4 is in the tens place, which means it represents 40.
Answer: 30 + 2
In expanded form, 32 is broken down into 30 (3 tens) and 2 (2 ones).
Answer: 30
The digit 3 is in the tens place, so it represents 30.
Answer: 7
The digit 7 is in the ones place, so it represents 7.
Answer: 52
In the number 52, the digit 5 is in the tens place.
Answer: 40 + 8
In expanded form, 48 is represented as 40 (4 tens) and 8 (8 ones).
Answer: 2
The digit 2 is in the ones place, so it represents 2.