1417 x 10^5 in Scientific Notation
Scientific notation is a way to express very large or very small numbers in a more compact and readable form. In this article, we will explore how to express the number 1417 x 10^5 in scientific notation.
What is Scientific Notation?
Scientific notation is a mathematical notation that uses a combination of digits and exponents to represent numbers. It is written in the form:
a × 10^n
where:
- a is a number between 1 and 10 (called the coefficient)
- n is an integer (called the exponent)
Converting 1417 x 10^5 to Scientific Notation
To convert 1417 x 10^5 to scientific notation, we need to rewrite the number in the form a × 10^n.
Since 1417 is already between 1 and 10, we can use it as the coefficient (a). The exponent (n) is already given as 5.
Therefore, the scientific notation of 1417 x 10^5 is:
1.417 × 10^6
In this notation, the coefficient is 1.417, and the exponent is 6.
Why Use Scientific Notation?
Scientific notation is useful for several reasons:
- Compactness: Scientific notation makes large numbers easier to read and write by condensing them into a smaller form.
- Easy calculations: Scientific notation makes calculations involving large numbers simpler and faster.
- Comparison: Scientific notation allows for easy comparison of large numbers by providing a standardized way to express them.
In conclusion, the scientific notation of 1417 x 10^5 is 1.417 × 10^6. This notation provides a compact and readable way to express large numbers, making calculations and comparisons easier.
