Movement of the Decimal Point
Learn how to multiply and divide by 10, 100, and 1000 by moving the decimal point. Letβs get started! π

Video Lesson
Watch and learn the basics

Flashcards
Review key concepts visually
%20Movement%20of%20the%20Decimal%20Point.webp)
%20Movement%20of%20the%20Decimal%20Point%20Examples.webp)
%20Movement%20of%20the%20Decimal%20Point%20in%20Unit%20Conversion.webp)
ποΈ 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.
ποΈ 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.
ποΈ Using Decimal Movement to Convert Units
- When converting to smaller units, multiply by the conversion factor. For example,
- When converting to larger units, divide by the conversion factor. For example,
Practice Questions
Test your understanding
What is 7.3 multiplied by 10?
Correct! π +10 pointsNot quite right
Multiplying by 10 moves the decimal point one place to the right, so 7.3 becomes 73.
What is 0.5 multiplied by 1000?
Correct! π +10 pointsNot quite right
Multiplying by 1000 moves the decimal point three places to the right, so 0.5 becomes 500.
What is 8 divided by 100?
Correct! π +20 pointsNot quite right
Dividing by 100 moves the decimal point two places to the left, so 8 becomes 0.08.
Convert 8.9 metres into millimetres.
Correct! π +20 pointsNot quite right
Multiplying by 1000 moves the decimal point three places to the right, so 8.9 becomes 8900.
What is 78.4 divided by 1000?
Correct! π +20 pointsNot quite right
Dividing by 1000 moves the decimal point three places to the left, so 78.4 becomes 0.0784.
Convert and divide it by 10.
Correct! π +30 pointsNot quite right
First, convert to a decimal by dividing by 100, giving 0.125. Then divide by 10, moving the decimal one place to the left, resulting in 0.0125.
Want to see the full working?
Interactive Activity
Movement of the Decimal Point
Loading interactive widget...
Click here to open ChatCat