Decimals Operations and Applications
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Decimals Operations and Applications
📊 Part 1: Decimal Place Value and Identification
a) Three and four tenths: ___________
b) Seven and twenty-five hundredths: ___________
c) Nine and one hundred forty-three thousandths: ___________
Group A:
0.45 0.405 0.54Group B:
2.8 2.08 2.80Group C:
0.123 0.132 0.2133.45, 3.054, 3.5, 3.405
🧮 Part 2: Decimal Operations
a) 12.45 + 8.7 = _______
b) 0.356 + 2.89 = _______
a) 15.8 - 7.45 = _______
b) 9.02 - 3.456 = _______
a) 4.56 × 10 = _______
b) 0.789 × 100 = _______
c) 2.34 × 1000 = _______
d) 67.8 ÷ 10 = _______
e) 345.6 ÷ 100 = _______
🔄 Part 3: Converting Between Decimals, Fractions, and Percentages
a) 0.6 as a fraction: _______
b) 0.35 as a percentage: _______
c) 3/5 as a decimal: _______
d) 85% as a decimal: _______
💰 Part 4: Real-World Applications
Sarah buys the following items at the supermarket:
• Apples: $4.65
• Bread: $2.80
• Milk: $3.45
• Cheese: $7.25
a) What is the total cost? Show your working:
b) If Sarah pays with a $20 note, how much change will she receive?
In a 100-metre race, the finishing times were:
• Runner A: 12.45 seconds
• Runner B: 12.8 seconds
• Runner C: 12.05 seconds
• Runner D: 12.385 seconds
List the runners in order from fastest to slowest:
A recipe calls for 2.5 kg of flour. If you want to make half the recipe, how much flour do you need?
The temperature readings for a week were: 18.5°C, 19.2°C, 17.8°C, 20.1°C, 18.9°C, 19.6°C, 18.3°C
What was the average temperature for the week? (Round to 1 decimal place)
🎯 Part 5: Problem Solving and Estimation
Before calculating, estimate the answers to the nearest whole number:
a) 8.7 + 12.3 ≈ _____ (Estimate) Actual: _____
b) 15.8 - 6.2 ≈ _____ (Estimate) Actual: _____
c) 4.9 × 3 ≈ _____ (Estimate) Actual: _____
A school is organising a fun run. The track is 1.25 km long. If a student completes 3.5 laps, how many kilometres have they run in total?
Explain in your own words why it's important to line up decimal points when adding or subtracting decimals:
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