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Computing in scientific notation
Computing-in-scientific-notation 256
Description
Exercise Name: Computing in 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 Computing in 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 practices using scientific notation in arithmetic and context problems.

Types of Problems

There are two types of problems in this exercise:

  1. Solve the word problem: This problem provides a contextual question involving numbers in scientific notation and multiplication, division or percentages. The user is asked to correctly solve the problem and give the answer.
    Cisn1

    Solve the word problem

  2. Perform the arithmetic problem: This problem provides an arithmetic problem with several numbers in scientific notation. The user is to find the final answer to the problem also in scientific notation.
    Cisn2

    Perform the arithmetic problem

Strategies

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

  1. Many calculators have a scientific notation mode that can be used to increase accuracy and speed on this problem.
  2. The numbers used are controlled so that there is no need for rounding. Therefore it can be good practice for practice multiplying and dividing decimals and basic exponent rules.
  3. The word problem often indicates whether it is a product or a quotient that needs to be used to complete the problem.

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.
  3. Discoveries of scientific notation used in real life and acquire the comprehension of complex concepts such as polynomials and exponents.

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