pdf Scientific Notation: Using the Speed of Light to Find Distance

This worksheet applies scientific notation to a real-world astronomy context by having students calculate distances in the solar system using the speed of light. Students use the distance formula \(d = rt\) together with the speed of light, \(c = 3.0 \times 10^8\) meters per second, to determine the distances between planets and other celestial objects. A worked example demonstrates how to convert time measurements and use scientific notation to calculate how far light travels in a given amount of time.

Students practice converting units, multiplying numbers written in scientific notation, and expressing answers in proper scientific notation. For example, students solve expressions such as \(d = (3.0 \times 10^8)(7.62 \times 10^2)\), requiring them to multiply coefficients, apply properties of integer exponents, and rewrite answers in standard scientific notation form. The activity strengthens understanding of powers of ten, exponent rules, significant figures, and the scale of distances encountered in astronomy.

This resource works well for classroom instruction, guided practice, enrichment, STEM integration, or review of scientific notation operations. The astronomy setting provides an engaging application of middle school math while helping students develop an appreciation for the enormous distances involved within our solar system.

Skills Assessed

• Multiplying numbers written in scientific notation
• Applying properties of integer exponents
• Using the distance formula \(d = rt\)
• Converting units of time
• Expressing answers in proper scientific notation
• Rounding to significant figures

Details

• 2 pages
• 4 application problems
• Worked example included
• Answer key included
• Real-world astronomy application

ID# 0065