Math Mantra Nepal
Scientific Notation Platform
CDC Curriculum Based Learning
Share this module:
1. Introduction & Importance
Scientific Notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically written in the form a × 10n, where:
- a is a number greater than or equal to 1 and less than 10 (1 ≤ |a| < 10).
- n is an integer, which can be positive or negative.
Rules for Exponent (n):
-
Positive Exponent (10n): Used when the given standard number is greater than or equal to 10 (large numbers). The decimal point moves to the left.
Example: 450,000 = 4.5 × 105 -
Negative Exponent (10-n): Used when the given standard number is less than 1 (very small decimal numbers). The decimal point moves to the right.
Example: 0.00032 = 3.2 × 10-4
Importance & Usage:
- Used extensively in astronomy to measure distances between celestial bodies (e.g., Distance from Earth to the Sun).
- Applied in atomic physics to represent extremely small masses or sizes (e.g., Mass of an electron).
- Makes complex calculations in data science and engineering simpler and error-free.