Math Problem Statement
3.306 × 10^(-1) × 8.930 × 10^2 / 9.905 × 10^(-3) can be written in the form b × 10^n. Write b correct to 2 decimal places, b = __ and n = __.
Solution
The expression simplifies to approximately .
Now, we can rewrite it in the form :
- (to 2 decimal places)
Would you like more details or have any questions? Here are five related questions you might consider:
- How do you manipulate exponents when multiplying and dividing numbers in scientific notation?
- Why is it important to express values in the form ?
- How do you round numbers correctly to a specific decimal place?
- What are the rules for simplifying powers of 10 when they are multiplied or divided?
- How can you ensure the correct number of significant figures in scientific calculations?
Tip: When multiplying or dividing numbers in scientific notation, handle the coefficients and powers of 10 separately, then combine the results.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponent Rules
Division and Multiplication of Powers of 10
Formulas
a × 10^m × b × 10^n = (a × b) × 10^(m+n)
Division of powers: a × 10^m / b × 10^n = (a / b) × 10^(m-n)
Theorems
Laws of Exponents
Scientific Notation
Suitable Grade Level
Grades 10-12