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 345, the digit '3' is in the hundreds place, meaning it represents 300. The digit '4' is in the tens place, representing 40, and '5' is in the ones place, representing 5. Understanding place value helps us read, write, and compare numbers accurately.
Let's take the number 672. To understand its place value, we can break it down: the '6' is in the hundreds place (600), the '7' is in the tens place (70), and the '2' is in the ones place (2). So, 672 can be expressed as 600 + 70 + 2. This breakdown helps us see how each digit contributes to the overall value of the number.
Now, let's practice together. I will write the number 485 on the board. Can anyone tell me what the place value of '4' is? (Students respond: '400'). Great! What about '8'? (Students respond: '80'). And finally, what is the place value of '5'? (Students respond: '5'). Excellent! Remember, each digit has a specific value based on its position.
Now it's your turn! Solve the following problems on your own: 1) What is the place value of '7' in the number 782? 2) Break down the number 543 into its place values. Show your work clearly. 3) Write the number 1,234 in expanded form. Remember to check your work for any mistakes!
Answer: 50
The digit '5' is in the tens place, which means it represents 50.
Answer: 1,000
The digit '1' is in the thousands place, representing 1,000.
Answer: 300 + 40 + 5
In expanded form, each digit is shown with its place value.
Answer: 9
The digit '9' is in the hundreds place, making it the largest value.
Answer: 3,000
The digit '3' is in the thousands place, representing 3,000.
Answer: 6,000
The digit '6' is in the thousands place, representing 6,000.
Answer: 900 + 10 + 2
Each digit is represented by its place value.
Answer: 200
The digit '2' is in the hundreds place, representing 200.