Operations with Scientific Notation
Grade 8 · Math · Exponents and Scientific Notation · Quebec, Canada
Lesson Summary
Add, subtract, multiply, and divide numbers written in scientific notation.
Explanation
To multiply numbers in scientific notation, multiply the decimal parts and add the exponents. To divide, divide the decimal parts and subtract the exponents. For adding and subtracting, the exponents must match first. If they don't, adjust one number so both powers of 10 are the same, then add or subtract the decimal parts. Always check that your final answer is in proper scientific notation form.
Practice Questions
Q1: Multiply: (3 × 10⁴) × (2 × 10³)
Answer: 6 × 10⁷. Multiply 3 × 2 = 6 and add exponents 4 + 3 = 7.
Q2: Divide: (8 × 10⁶) ÷ (4 × 10²)
Answer: 2 × 10⁴. Divide 8 ÷ 4 = 2 and subtract exponents 6 − 2 = 4.
Q3: Add: (5.0 × 10³) + (3.0 × 10³)
Answer: 8.0 × 10³. Since the exponents match, add 5.0 + 3.0 = 8.0.
People Also Ask
What is Operations with Scientific Notation in Grade 8 Math?+
Operations with Scientific Notation is a lesson in the Exponents and Scientific Notation chapter of Grade 8 Math. It is part of the Quebec, Canada school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Operations with Scientific Notation?+
Operations with Scientific Notation is taught in Grade 8 as part of the Math curriculum in Quebec, Canada.
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.