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Understanding Decimals Worksheet

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Understanding Decimals Worksheet

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📚 Part 1: Learn & Check

Quick guide: A decimal shows whole numbers and parts of a whole. Places to the right of the decimal point are tenths (0.1), hundredths (0.01), thousandths (0.001). To convert a fraction to a decimal, divide numerator by denominator. To multiply or divide by 10 or 100, move the decimal point right (×10, ×100) or left (÷10, ÷100).

Example 1 — Convert a fraction: 3 ÷ 4 = 0.75, so 3/4 = 0.75.

Example 2 — Add decimals: $2.35 + $1.70 — line up the decimal points: 2.35 + 1.70 = 4.05.

1. What is the value of the digit 7 in 12.78?

7 represents 7 (seven)

0.7 (seven tenths)

0.07 (seven hundredths)

70 (seventy)

2. Check all that are equal to 0.6:

6/10

3/5

60/100

6/100

3. What is 4.02 × 100?

402

40.2

4.2

0.402

✏️ Part 2: Practice — Show your working

4. Convert to a decimal: 7/20 = _________
5. Write 0.375 as a fraction in simplest form: _________
6. Add (show your method): $3.45 + $5.60 = $ _________
7. Subtract: 6.20 − 2.75 = _________
8. Multiply and divide by powers of ten:

a) 0.48 × 10 = _________

b) 3.6 ÷ 100 = _________

9. Measurement comparison: Which is longer?

2.5 metres

250 centimetres

They are the same length

10. Explain one step you use when adding decimals (one or two lines):

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