Course 2 Online!
Henrico County Public Schools, Virginia
Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL.
As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
7.1a - Negative Exponents for Powers of Ten
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Number and Number Sense
Focus: Proportional Reasoning

The student will
a)   investigate and describe the concept of negative exponents for powers of ten; 
Essential Knowledge and Skills 
  • Recognize powers of 10 with negative exponents by examining patterns.
  • Write a power of 10 with a negative exponent in fraction and decimal form.
Essential Understandings
  • What does a negative exponent mean when the base is 10? A base of 10 raised to a negative exponent represents a number between 0 and 1.
Vertical Articulation
  • SOL 6.5 - investigate/describe positive exponents, perfect squares
  • SOL 8.5ab - a) determine if a number is a perfect square; b) find two consecutive whole numbers between which a square root lies
  • SOL A.3 - express square roots/cube roots of whole numbers/the square root of monomial algebraic expression (simplest radical form)
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Powers of Ten (PDF) - Describing the concept of negative exponents for powers of ten (Word)
  2. Notes: Powers of Ten (flipchart)
  3. Notes: Powers of Ten #2 (flipchart)
  4. Guided Notes and Worksheet: Negative Exponents (doc)
  5. Guided Notes: Exponents and Powers of Ten (doc)
  6. Activity: Powers of Ten Matching (doc)
  7. Activity: Matching Powers of Ten (flipchart)
Real World Lessons
  1. Worksheet: Powers of Ten Chart (doc)
  2. Worksheet: Powers of Ten (doc)
  3. Worksheet: Powers of Ten #2 (pdf)
SOL Mini Quiz
  1. SOL 7.1a Mini Quiz: Powers of 10 (pdf) | (doc)
  1. Powers of Ten (doc)
  1. YouTube: Negative Exponents: Powers of Ten
  2. YouTube: Powers of Ten - A film dealing with the relative size of things in the universe and the effect of adding another zero. (9:01)
Explore Learning
  1. None
  1. Learn Alberta: Patterning the Powers of 10 (Object Interactive)
  2. Powers of 10
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring Decimals - The lessons focus on identifying place values, rounding decimals through hundredths, and performing operations of decimals and writing and solving problems with decimals.(pdf)
Common Core Standards