pdf Scientific Notation: Speed of Light in the Solar System

This worksheet applies scientific notation to a real-world astronomy context by having students calculate how long light takes to travel through the solar system. Students use the formula \(t = d \div r\) along with the speed of light, \(c = 3.0 \times 10^8\) meters per second, to determine travel times between celestial objects. A worked example demonstrates how to calculate the time required for sunlight to travel from the Sun to Earth, helping students connect scientific notation to meaningful scientific measurements.

Students practice dividing numbers written in scientific notation while applying properties of exponents and expressing answers in proper scientific notation. For example, students solve expressions such as \(t = \frac{1.5 \times 10^{11}}{3.0 \times 10^8}\), requiring them to divide coefficients and subtract exponents to obtain an equivalent expression in scientific notation. The activity reinforces exponent rules, powers of ten, and the interpretation of very large quantities encountered in science and astronomy.

This resource works well for classroom instruction, guided practice, enrichment, STEM integration, or review of scientific notation operations. The astronomy context provides an engaging application of middle school mathematics while helping students develop a deeper understanding of scale, distance, and scientific measurement within our solar system.

Skills Assessed

• Dividing numbers written in scientific notation
• Applying properties of integer exponents
• Using formulas to solve real-world problems
• Expressing answers in proper scientific notation
• Interpreting scientific measurements and scale

Details

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

ID# 0057