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Understanding Decimals Deeply

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Understanding Decimals Deeply worksheet preview

Understanding Decimals Deeply

Decimal place value illustration

📏 Part 1: Decimal Place Value Knowledge

1. When a whole is divided into 10 equal parts, each part is called:

One tenth

One hundredth

One thousandth

2. What is the decimal notation for three tenths?

0.03

0.3

3.0

3. In the decimal 0.456, which digit is in the hundredths place?

4

5

6

4. Which measurement units match these decimal places? (Tick all correct answers)

1 centimetre = 0.01 metres

1 millimetre = 0.001 metres

10 centimetres = 0.1 metres

1 metre = 0.1 metres

✏️ Part 2: Writing and Reading Decimals

5. Complete the decimal place value house for the number "two hundred and thirty-seven thousandths":
Ones Tenths Hundredths Thousandths
____ ____ ____ ____
6. Write these decimals in words:

a) 0.045: _______________________________________________

b) 0.7: _________________________________________________

c) 0.126: _______________________________________________

7. Your dice rolled 3, 8, 2. Write this as a decimal to three decimal places:

Decimal notation: 0.____

8. If you cut a metre strip into 10 equal parts, then cut one of those parts into 10 equal parts again, what fraction and decimal do you have?

Fraction: _______ Decimal: _______

🤔 Part 3: Reflection and Application

9. Explain the purpose of the decimal point when writing decimals:
10. Draw and label a diagram showing how 1 metre can be divided into tenths and hundredths:
11. Peer Feedback Activity: Exchange your worksheet with a partner. Check their answers to questions 5-8 and write one positive comment and one suggestion below:

Positive comment: ________________________________________

Suggestion: ____________________________________________

12. Self-Reflection: What was the most challenging part about understanding decimals today? How did the hands-on cutting activity help your learning?

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