Home > Grade Levels > Grade 8 >

Powers of Ten and Scientific Notation

Answer Keys Here

Aligned To Common Core Standard:

Grade 8 Number System - 8.EE.A.3

What are the Powers of Ten? Even the thought of writing dealing with complex and large numbers is enough to scare you off. Writing them down over and over is a difficult and tiring thing. The thought alone is tiring. Placing the multiple zeros can take an entire lifetime. Thanks to the introduction of the power system, which has made it easy to deal with big numbers. Power system or commonly known as powers of ten features a positive integer that denotes the number of times a number has been multiplied by itself. These can be negative, as well as positive. Examples of non-negative and negative powers of ten are: 10 to the power zeroth = 1 10 to the power -1 = 0.1 10 to the power 1 = 10 10 to the power -2 = 0.01 10 to the power 2 = 100 10 to the power -3 = 0.001 The above few examples show that when the power of ten is positive, the zero moves to the right-hand side, and when the power is negative, the zeros jump to the left-hand side. These worksheets and lessons will help students become comfortable with the use of the powers of ten and how they are applied and used in scientific notation.

Printable Worksheets And Lessons

Homework Sheets

Decimals to scientific form for the first two homework sheets. The last sheet does the opposite.

  • Homework 1 - Move the decimal point to the left until the number is between 1 and tenth place. Count how many places you move the decimal point.
  • Homework 2 - This number is less than one. This tells us that every tens place we move will result in a negative exponent.
  • Homework 3 - The positive exponent of 10 tells how many places to the right to move the decimal point.

Practice Worksheets

In addition to what students saw on the homework, we add the comparison of values.

  • Practice 1 - Move the decimal point to the tight until you are between a ones and tenths place.
  • Practice 2 - Write 0.0000916 in scientific notation.
  • Practice 3 - Express scientific notation in standard form.

Math Skill Quizzes

Remember to get students in the habit of adding commas to any numbers over 999. It helps a lot.

  • Quiz 1 - Which is the larger value?
  • Quiz 2 - Lots of different work for you.
  • Quiz 3 - The end puts it all together for you.