Comparing Numbers in Scientific Notation
Grade 8 · Math · Exponents and Scientific Notation · Arizona, USA
Lesson Summary
Determine which of two numbers in scientific notation is larger.
Explanation
To compare numbers in scientific notation, first look at the powers of 10. The number with the larger exponent is usually the bigger number. If the exponents are the same, compare the decimal parts. For example, 6.2 × 10⁵ is larger than 3.9 × 10⁵ because they share the same power of 10 and 6.2 is greater than 3.9. This skill is essential when working with scientific data.
Practice Questions
Q1: Which is larger: 4.5 × 10⁸ or 9.1 × 10⁷?
Answer: 4.5 × 10⁸ is larger because 10⁸ is ten times bigger than 10⁷.
Q2: Which is larger: 7.3 × 10⁻² or 2.8 × 10⁻²?
Answer: 7.3 × 10⁻² is larger because the exponents are the same and 7.3 > 2.8.
Q3: Order from smallest to largest: 1.2 × 10⁴, 3.5 × 10², 8.0 × 10³.
Answer: 3.5 × 10² (350), then 8.0 × 10³ (8,000), then 1.2 × 10⁴ (12,000).
People Also Ask
What is Comparing Numbers in Scientific Notation in Grade 8 Math?+
Comparing Numbers in Scientific Notation is a lesson in the Exponents and Scientific Notation chapter of Grade 8 Math. It is part of the Arizona, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Comparing Numbers in Scientific Notation?+
Comparing Numbers in Scientific Notation is taught in Grade 8 as part of the Math curriculum in Arizona, USA.
How can I help my child with Exponents and Scientific Notation in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Exponents and Scientific Notation topics.