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Place Value with Decimals
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Place Value with Decimals
📊 Part 1: Understanding Place Value
1. What is the value of the digit 7 in the number 4,578.32?
7
70
700
7,000
2. In the decimal 25.67, which digit is in the tenths place?
2
5
6
7
3. Which of these numbers has 8 in the hundreds place? (Choose all that apply)
1,832.5
5,084.21
2,568.9
3,829.14
4. What decimal number is represented by: 3 ones + 2 tenths + 5 hundredths?
3.25
32.5
3.52
325
✏️ Part 2: Expanded Notation
5. Write 2,456.38 in expanded notation:
2,456.38 = _______ + _______ + _______ + _______ + _______ + _______
6. Write 8,032.75 in expanded notation:
7. Convert this expanded notation into a decimal number:
6,000 + 400 + 90 + 3 + 0.2 + 0.07 = _____________
8. A student wrote: 5,240.61 = 5,000 + 200 + 40 + 6 + 1
What mistake did they make? Explain how to fix it:
🎯 Part 3: Real-World Applications
9. Sarah measured the length of her garden as 12.85 metres. What is the value of the digit 8?
8 metres
8 tenths of a metre
8 hundredths of a metre
8 centimetres
10. The price of a toy is $47.23. Explain what each digit represents in terms of dollars and cents:
11. Challenge: If you move the digit 5 from the tens place to the hundreds place in a number, how many times bigger does its value become? Explain your thinking:
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