Converting 0.0114 x 10^4 to Scientific Notation
Scientific notation is a way of expressing very large or very small numbers in a more compact and readable form. It consists of a number between 1 and 10, multiplied by a power of 10. In this article, we will explore how to convert the expression 0.0114 x 10^4 to scientific notation.
What is Scientific Notation?
Scientific notation is a shorthand way of writing very large or very small numbers. It is written in the form:
a × 10^n
where:
- a is a number between 1 and 10
- n is an integer (whole number)
For example, the number 456,000 can be written in scientific notation as:
4.56 × 10^5
Converting 0.0114 x 10^4 to Scientific Notation
To convert the expression 0.0114 x 10^4 to scientific notation, we need to rewrite it in the form a × 10^n.
First, let's rewrite the number 0.0114 as a number between 1 and 10:
0.0114 = 1.14 × 10^-2
Now, we can multiply this by 10^4:
1.14 × 10^-2 × 10^4 = 1.14 × 10^(4-2) = 1.14 × 10^2
So, the expression 0.0114 x 10^4 in scientific notation is:
1.14 × 10^2
In conclusion, the expression 0.0114 x 10^4 can be written in scientific notation as 1.14 × 10^2. This representation makes it easier to work with and compare very large or very small numbers.
