When multiplying a decimal number by 10, what happens to the decimal p...
Understanding Decimal Multiplication by 10
When multiplying a decimal number by 10, the decimal point shifts to the right. This is a fundamental concept in decimal arithmetic, and here's why:
Decimal Place Value
- Each digit in a decimal number has a specific place value, which determines its contribution to the overall number.
- For instance, in the number 2.5, the digit '2' is in the units place, and the digit '5' is in the tenths place.
Effect of Multiplying by 10
- When you multiply a number by 10, you are essentially increasing its value tenfold.
- This means that each digit will move one place to the left in the decimal system.
Example to Illustrate
- Consider the decimal number 3.6:
- When you multiply 3.6 by 10, you get 36.0.
- Here, the decimal point moves one position to the right, transforming 3.6 into 36.0.
Visual Representation
- Original: 3.6 → Decimal point is after the '6'.
- After multiplying by 10: 36.0 → Decimal point is now at the end of '36'.
Conclusion
- Thus, when multiplying any decimal number by 10, the decimal point shifts one position to the right, effectively increasing the number's value by a factor of ten.
- This consistent rule applies to all decimal numbers, making it a simple yet essential concept in mathematics.
When multiplying a decimal number by 10, what happens to the decimal p...
When multiplying a decimal number by 10, the decimal point moves one place to the right, effectively increasing the number. For example, multiplying 2.5 by 10 results in 25. This concept is important in calculations involving money and measurements.