pdf Adding and Subtracting in Scientific Notation - C

This worksheet provides students with practice adding and subtracting numbers written in scientific notation while reinforcing the critical skill of rewriting equivalent expressions when exponents do not match. Students solve sixteen problems involving both positive and negative exponents and express each answer in proper scientific notation. The activity includes problems with matching exponents, such as \(3.8 \times 10^5 + 5.7 \times 10^5\), as well as problems requiring students to rewrite one term before performing the operation, such as \(7.2 \times 10^6 + 8.5 \times 10^5\).

Students develop conceptual understanding of how adjusting the exponent requires a corresponding adjustment to the coefficient in order to create equivalent expressions. For example, students learn to rewrite \(8.5 \times 10^5\) as \(0.85 \times 10^6\) so that the coefficients can be combined. This process strengthens understanding of powers of ten, place value relationships, and the structure of scientific notation while preparing students for more advanced work with exponential expressions.

This resource works well for classroom instruction, guided practice, homework, intervention, or review of scientific notation operations.

Skills Assessed

• Adding numbers in scientific notation
• Subtracting numbers in scientific notation
• Rewriting equivalent expressions using powers of ten
• Adjusting coefficients when changing exponents
• Expressing answers in proper scientific notation

Details

• 2 pages
• 16 problems
• Answer key included
• Includes same-exponent and different-exponent operations

ID# 0056