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Numbers and Decimals

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Multiplying Decimals

Numbers and Decimals Multiplying Decimals
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🎬 Video Tutorial

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  • (0:10) Multiplying Decimals (Step 1): Ignore the decimal points initially and multiply the numbers as if they were whole numbers. For example, multiply 0.34 × 2.5 as 34 × 25 = 850.
  • (0:28)  Multiplying Decimals (Step 2): Add up the decimal places in both original decimal numbers. For 0.34 (2 places) and 2.5 (1 place), the total is 3 decimal places.
  • (0:46) Multiplying Decimals (Step 3): Move the decimal point to the left by the total number of decimal places. For 850 with 3 places, the result is 0.85.
  • (2:05) How to Multiply Decimals (Real-Life Example): To calculate a taxi fare of £6.5 per km over 8.12 km, ignore decimals and calculate 65 × 812 = 52,780. With 3 decimal places, the answer is £52.78.

📂 Revision Cards

Method for multiplying decimals. Steps: ignore decimal points and multiply as whole numbers, count decimal places, and move the decimal point left.
1) Multiplying Decimals (Method)
Steps to multiply decimals with the example 5.5 m × 2.6 m resulting in 14.30 m² by first multiplying whole numbers, then adjusting for decimal places.
2) Multiplying Decimals (Practice)
Steps for multiplying decimals demonstrated with an example of £6.5/km × 8.12 km.
3) Multiplying Decimals (Application)

🍪 Quiz Time - Practice Now!​

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Multiplying Decimals

1 / 6

Q: What is 0.6 × 0.4?

2 / 6

Q: What is 0.25 × 0.2?

3 / 6

Q: What is 0.75 × 0.08?

4 / 6

Q: What is 3.2 × 1.5?

5 / 6

Q: What is 1.6 × 3.75?

6 / 6

Q: A car travels 15.2 kilometers per liter of fuel. How far can the car travel on 8.5 liters of fuel?

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