Math Problem Statement
Find the product of (3 x 109) and (2 x 109). Write the final answer in scientific notation.
Group of answer choices
6 x 1081
6 x 10018
6 x 1018
6 x 109
Solution
Let's first find the product of and .
To calculate this:
This simplifies to:
So, the final answer in scientific notation is:
Thus, the correct answer is 6 x 10¹⁸.
Would you like to go over any steps in more detail or have other questions?
Here are some related questions:
- How do you multiply numbers in scientific notation?
- What is the rule for adding exponents when multiplying powers of 10?
- Can scientific notation be used for both very large and very small numbers?
- How do you divide numbers in scientific notation?
- What is the difference between standard form and scientific notation?
Tip: When multiplying numbers in scientific notation, you multiply the base numbers (the ones in front of the powers of 10) and add the exponents of 10.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponent Rules
Multiplication of Powers of 10
Formulas
(a × 10^m) × (b × 10^n) = (a × b) × 10^(m+n)
Theorems
Laws of Exponents: Product Rule (10^m × 10^n = 10^(m+n))
Suitable Grade Level
Grades 8-10
Related Recommendation
Multiplying Numbers in Scientific Notation: (2.7 × 10^-2) (1.9 × 10^-6)
Scientific Notation Multiplication and Division Problem Example
Multiply Numbers in Scientific Notation: Step-by-Step Solution
Multiplying and Dividing Numbers in Scientific Notation Practice Question
Multiplying Numbers in Scientific Notation: (5 × 10⁴) × (22 × 10⁴)