Lesson 12
Applications of Arithmetic with Powers of 10
Lesson Narrative
In this lesson, students first apply what they have learned about working with exponents (especially powers of ten) to solve rich problems in context. The style of questioning requires students to identify essential features of the problem and persevere to calculate and interpret the solutions in context (MP1, MP2, MP4). Students must attend to precision when considering appropriate units of measurement (MP6).
Next, the lesson formalizes what students have learned by introducing the definition of scientific notation. A number is said to be in scientific notation if it is written as a product of two factors: the first factor is a number greater than or equal to 1, but less than 10; and the second factor is an integer power of 10. This definition does not include negative numbers for simplicity. Students must attend to precision as they decide whether or not numbers are in scientific notation and convert to scientific notation (MP6).
Learning Goals
Teacher Facing
 Determine what information is needed to answer a question about large numbers, and explain (orally) how that information would help solve the problem.
 Identify (in writing) numbers written in scientific notation, and describe (orally) the features of an expression in scientific notation.
 Use exponent rules and powers of 10 to solve problems in context, and explain (orally) the steps used to organize thinking.
Student Facing
Required Materials
Required Preparation
Learning Targets
Student Facing
 I can apply what I learned about powers of 10 to answer questions about realworld situations.
 I can tell whether or not a number is written in scientific notation.
Glossary Entries

scientific notation
Scientific notation is a way to write very large or very small numbers. We write these numbers by multiplying a number between 1 and 10 by a power of 10.
For example, the number 425,000,000 in scientific notation is \(4.25 \times 10^8\). The number 0.0000000000783 in scientific notation is \(7.83 \times 10^{\text11}\).
Print Formatted Materials
Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.
Student Task Statements  docx  
Cumulative Practice Problem Set  docx  
Cool Down  Log In  
Teacher Guide  Log In  
Teacher Presentation Materials  docx  
Blackline Masters  zip 