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Scientific notation
Scientific notation 256
Description
Exercise Name: Scientific notation
Math Missions: 8th grade (U.S.) Math Mission, Pre-algebra Math Mission, Algebra basics Math Mission, Mathematics I Math Mission
Types of Problems: 2

The Scientific notation exercise appears under the 8th grade (U.S.) Math Mission, Pre-algebra Math Mission, Algebra basics Math Mission and Mathematics I Math Mission. This exercise strengthens the ability to transfer between scientific notation and the standard form of numbers.

Types of Problems

There are two types of problems in this exercise:

  1. Change into scientific notation: This problem provides a number written in the typical standard form. The student is asked to rewrite the number in scientific notation.
    Sn1

    Change into scientific notation

  2. Write in standard form: This problem provides a number written in scientific notation. The student is expected to expand the number into the standard form.
    Sn2

    Write in standard form

Strategies

Order of operations is useful for expansion, but knowledge and familiarity with scientific notation is really key.

  1. A number is in scientific notation if it is written in the form of {a\times 10^n} where n is an integer and a is a number such that  {1 \leq a <10} .
  2. To make a number into scientific notation, move the decimal to the spot immediately to the right of the first non-zero digit reading from the left. This is a. The number of spots moved is n if you moved it left, and -n if you moved it right.
  3. To expand a number into standard form, move the decimal the magnitude of the value of n. Move to the right if n is positive and to the left if n is negative.
  4. Small numbers tend to have a negative n, whereas big numbers tend to have a high n.

Real-life applications

  1. Scientific notation has many applications in the sciences.
  2. Scientific notation is useful for representing very large or very small quantities.

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