BAB 6 Notasi Ilmiah | Matematika Dasar | Alternatifa

Summary

This script provides an in-depth explanation of scientific notation, highlighting its importance in simplifying the representation of very large or very small numbers. It covers the basics, such as the standard form of scientific notation (a × 10^n), where 'a' is a number between 1 and 10, and 'n' is an integer. The script explains how to convert numbers into scientific notation and emphasizes the significance of shifting the decimal point. Additionally, it discusses operations with scientific notation, such as multiplication, addition, and how to handle positive and negative exponents, making it easier to work with complex numbers.

Takeaways

• 😀 Scientific notation is used to simplify large or small numbers for easier computation and writing.
• 😀 Scientific notation expresses numbers as a product of a coefficient and a power of 10, in the form of a * 10^n.
• 😀 The coefficient 'a' must be greater than or equal to 1 but less than 10, and 'n' is an integer.
• 😀 For very large numbers, the exponent 'n' is positive, reflecting the number of zeros.
• 😀 For very small numbers, the exponent 'n' is negative, indicating the decimal place shift to the left.
• 😀 An example of a large number: 149,600,000 km is written as 1.496 * 10^8 km in scientific notation.
• 😀 An example of a small number: 0.0025 m is written as 2.5 * 10^-3 m in scientific notation.
• 😀 When multiplying scientific notation, multiply the coefficients and add the exponents.
• 😀 When adding or subtracting scientific notation, the exponents must be the same before the operation.
• 😀 Scientific notation makes it easier to handle extremely large or small numbers without errors or inefficiency.
• 😀 To convert a number into scientific notation, adjust the decimal point so the coefficient is between 1 and 10, then count the shifts in the decimal for the exponent.

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