Understanding 0.3 x 10^2
In mathematics, 0.3 x 10^2 represents a multiplication operation involving a decimal number (0.3) and a power of ten (10^2). Let's break down the components and calculate the result:
Understanding Powers of Ten
- 10^2 means 10 multiplied by itself twice: 10 x 10 = 100. This is the same as saying "ten squared".
Multiplying by a Power of Ten
- When you multiply a number by a power of ten, you shift the decimal point to the right. The number of places you shift corresponds to the power of ten.
Calculating 0.3 x 10^2
- Simplify the power of ten: 10^2 = 100
- Multiply: 0.3 x 100 = 30
The Result
Therefore, 0.3 x 10^2 = 30