Scientific Notation
Grade 8 · Math · Exponents and Scientific Notation · New Mexico, USA
Lesson Summary
Express very large or very small numbers in a compact form.
Explanation
Scientific notation writes a number as a value between 1 and 10 multiplied by a power of 10. For example, 4,500,000 becomes 4.5 × 10⁶ and 0.00032 becomes 3.2 × 10⁻⁴. This format makes it much easier to read, compare, and work with extremely large or tiny numbers. Scientists and engineers use it all the time for measurements like distances in space or sizes of atoms.
Practice Questions
Q1: Write 93,000,000 in scientific notation.
Answer: 9.3 × 10⁷. Move the decimal 7 places to the left.
Q2: Write 0.00056 in scientific notation.
Answer: 5.6 × 10⁻⁴. Move the decimal 4 places to the right.
Q3: Convert 7.1 × 10³ to standard form.
Answer: 7,100. Move the decimal 3 places to the right.
People Also Ask
What is Scientific Notation in Grade 8 Math?+
Scientific Notation is a lesson in the Exponents and Scientific Notation chapter of Grade 8 Math. It is part of the New Mexico, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Scientific Notation?+
Scientific Notation is taught in Grade 8 as part of the Math curriculum in New Mexico, 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.