Movement of the Decimal Point

Learn how to multiply and divide by 10, 100, and 1000 by moving the decimal point. Let’s get started! 🚀

Movement of the Decimal Point - introduction visual

Video Lesson

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Flashcards

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Shifting the decimal point in division and multiplication, showing how the decimal point shifts left for division and right for multiplication.Examples on how to move the decimal point when calculating 5.02*1000, 4.21/100, and 56.7%*10.Converting 2.8 metres to 280 centimetres by multiplying by 100, and converting 0.0028 kilometres to metres by multiplying by 1000.

🛎️ Multiplying and Dividing by 10, 100, 1000

  • Multiplying by 10, 100, 1000 moves the decimal right.
  • Dividing by 10, 100, 1000 moves the decimal left.

🛎️ How to Shift the Decimal Point

  • Multiplying by 1000 means moving the decimal point 3 places to the right.
  • Dividing by 100 means moving the decimal point 2 places to the left.

🛎️ Using Decimal Movement to Convert Units

  • When converting to smaller units, multiply by the conversion factor. For example, 2.8m=2.8×100=280cm2.8\text{m} = 2.8 \times 100 = 280\text{cm}
  • When converting to larger units, divide by the conversion factor. For example, 2.8m=2.8÷1000=0.0028km2.8\text{m} = 2.8 \div 1000 = 0.0028\text{km}

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Movement of the Decimal Point

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