M113

Scientific Notation

MathematicsGrade 8

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Scientific notation

Definition

Is a mathematical expression used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits. An example of scientific notation is when you write 4 x 10³ for 4,000

 

Example:

 instead of writing 0.0000000056, we write 5.6 x 10-9.

 

Everyday use:

Standard

Jimmy has 542000 dollars total

Scientific

Jimmy has 5.42 × 10^5 dollars total

Khan Link:

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/e/scientific_notation

Standards

  • CCSS.MATH.CONTENT.8.EE.A.4 — Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.