Solving Problems Using Scientific Notation
Solving Problems Using Scientific Notation is a Grade 8 math skill from Saxon Math, Course 3, where students perform addition, subtraction, multiplication, and division with numbers in scientific notation. This skill is essential for science, engineering, and working with extremely large or small values.
Key Concepts
New Concept Learn to multiply and divide with scientific notation by handling coefficients and exponents separately, then adjusting the result to its proper form.
Multiplication : To multiply numbers written in scientific notation, we multiply the coefficients to find the coefficient of the product. Then we multiply the powers of 10 by adding the exponents.
Division : To divide numbers in scientific notation we divide the coefficients, and we divide the powers of 10 by subtracting the exponents. What’s next This card lays the groundwork. Next, you'll tackle worked examples and solve real world problems involving light years and astronomical distances.
Common Questions
How do you multiply numbers in scientific notation?
Multiply the coefficients and add the exponents: (a times 10 to the m) times (b times 10 to the n) = ab times 10 to the m plus n.
How do you add or subtract numbers in scientific notation?
First, adjust the numbers so they have the same power of ten, then add or subtract the coefficients. Simplify the result if needed.
How do you divide numbers in scientific notation?
Divide the coefficients and subtract the exponents: (a times 10 to the m) divided by (b times 10 to the n) = (a/b) times 10 to the m minus n.
What is scientific notation used for?
Scientific notation simplifies working with very large numbers (like distances in space) or very small numbers (like the size of atoms).
What grade covers solving problems using scientific notation?
Scientific notation calculations are taught in Grade 8 math.