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Decimal Multiplication Extension
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Decimal Multiplication Extension
Show your working for each problem. Include units in your answers and round money to the nearest cent where needed.
Money and everyday calculations
Use decimal multiplication to solve these practical problems.
1.A market stall buys 9.6 kg of apples at $4.75 per kilogram and 12.4 m of twine at $1.85 per metre. What is the total cost of both purchases?
2.A café uses 3.6 kg of rice each day. Rice costs $1.28 per kilogram. How much will the café spend on rice over 3.5 weeks? Use 7 days per week.
3.Oliver puts aside $8.65 each week. If she saves at that rate for 1.25 years, how much will she save? Use 52 weeks per year.
Scaling, patterns and measurement
Take care with place value and units as you work.
4.A soup recipe for 6 people needs 2.4 cups of stock. How many cups of stock are needed to make enough soup for 15 people, keeping the recipe proportions the same?
5.Complete 73.2 × 1, 73.2 × 0.1, 73.2 × 0.01 and 73.2 × 0.001, then describe the place-value pattern as the multiplier gets ten times smaller.
6.A rectangular planting bed is 7.2 m long and 5.35 m wide. Find its area. Mulch costs $2.75 per square metre. What will it cost to cover the whole bed?
7.A van travels at an average speed of 82.5 km/h for 1.6 hours. It uses 7.6 litres of fuel per 100 km, and fuel costs $2.48 per litre. How far does it travel, and what is the fuel cost for the journey? Round the cost to the nearest cent.
8.Show one clear method for finding 3.75 × 2.4. State the product and explain how you placed the decimal point.
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