How Do You Solve a Word Problem by Multiplying with Scientific Notation?

How Do You Solve a Word Problem by Multiplying with Scientific Notation?

Note:

Dealing with a word problem involving really big (or really small) numbers? This one has both! In this tutorial, you'll see how to use scientific notation to solve a word problem.

Keywords:

  • problem
  • word problem
  • word
  • scientific notation
  • distance
  • distance per step
  • steps
  • units
  • multiply
  • exponents
  • associative property

Background Tutorials

  • Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

      • What are the Associative Properties of Addition and Multiplication?What are the Associative Properties of Addition and Multiplication?

      What are the Associative Properties of Addition and Multiplication?

      The associative property is one of those fundamental properties of math that make math work. You probably take this property for granted because it's so ingrained, but it's important to see how the guts of math work, so check out the tutorial and make sure you're solid on your fundamentals!

  • Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

      • What's Scientific Notation?What's Scientific Notation?

      What's Scientific Notation?

      Sometimes a number is so big (or so small), that it takes a while to write it all down. Luckily, this number can be written quicker using scientific notation! Watch this tutorial and learn about scientific notation.

  • 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.

Further Exploration

  • 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.

  • Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

  • Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + (r(x)/b(x)), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.