SOL Objective(s):
7.1 The learner will...
a) investigate and describe the concept of negative exponents for powers of ten.
a) investigate and describe the concept of negative exponents for powers of ten.
The Basics and Background Information
• Negative exponents for powers of 10 are used to represent numbers between 0 and 1.
(e.g., 10^−3 = 1/10^3 = 0.001).
• Negative exponents for powers of 10 can be investigated through patterns such as:
10^2 =100
10^1 = 10
10^0 = 1
10^−1 = 1/10^1 = 1/10 = 0.1
(e.g., 10^−3 = 1/10^3 = 0.001).
• Negative exponents for powers of 10 can be investigated through patterns such as:
10^2 =100
10^1 = 10
10^0 = 1
10^−1 = 1/10^1 = 1/10 = 0.1
Essential Knowledge and Skills
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to...
7th Grade:
• Recognize powers of 10 with negative exponents by examining patterns.
• Write a power of 10 with a negative exponent in fraction and decimal form.
7th Grade:
• Recognize powers of 10 with negative exponents by examining patterns.
• Write a power of 10 with a negative exponent in fraction and decimal form.
Vocabulary and Things to Know:

Be Able To:

The topic: What is it and what will we learn?
Bottom line?
There are many ways to write the same value.
It's important to be fluent in the different ways a value can be expressed so "scary" calculations can be done more easily.
10^3 = 0.001 = 1/1000 = 1/10 x 1/10 x 1/10 = (1/10 x 1/10 x 1/10)/1 = 1/(10^3) = etc.
There are many ways to write the same value.
It's important to be fluent in the different ways a value can be expressed so "scary" calculations can be done more easily.
10^3 = 0.001 = 1/1000 = 1/10 x 1/10 x 1/10 = (1/10 x 1/10 x 1/10)/1 = 1/(10^3) = etc.
Va. DOE Lesson 
Powers of Ten w/ Negative Exponents 
