45.01 in scientific notation
Understand the Problem
The question is asking to express the number 45.01 in scientific notation. This will involve converting the number into a form where it is represented as a product of a number between 1 and 10, and a power of 10.
Answer
$4.501 \times 10^1$
Answer for screen readers
The final answer in scientific notation is $4.501 \times 10^1$.
Steps to Solve
- Identify the decimal point placement
To convert 45.01 into scientific notation, we need to move the decimal point to create a number between 1 and 10. Here, we will move the decimal one place to the left.
- Rewrite the number
After moving the decimal, we rewrite the number: $$ 4.501 $$
- Determine the exponent
Since we moved the decimal one place to the left, we need to represent this with an exponent of 10: $$ 10^1 $$
- Combine the number and exponent
Now, we can express 45.01 in scientific notation as: $$ 4.501 \times 10^1 $$
The final answer in scientific notation is $4.501 \times 10^1$.
More Information
Expressing numbers in scientific notation is useful for simplifying very large or very small numbers, making them easier to read and understand. The form $a \times 10^n$ is widely used in scientific calculations.
Tips
Some common mistakes include:
- Moving the decimal point incorrectly (too many or too few places).
- Not adjusting the exponent to match the movement of the decimal point. To avoid these mistakes, double-check the placement of the decimal and the corresponding exponent.
