Math Problem Statement
Solution
The equation in the image is:
We can solve this by applying the rules of scientific notation. Specifically, when multiplying numbers in scientific notation:
Now, let's calculate:
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Multiply the base numbers:
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Add the exponents:
So, the result is:
Since is not between 1 and 10, we convert it into proper scientific notation:
Thus, the simplified answer in scientific notation is:
Would you like more details or have any other questions?
Here are 5 related questions to expand on this:
- How do you convert between scientific notation and standard form?
- What is the rule for multiplying two numbers in scientific notation?
- How would the process differ if we were dividing instead of multiplying?
- What are the rules for adding or subtracting numbers in scientific notation?
- How can you quickly determine if a number is in proper scientific notation?
Tip: When multiplying numbers in scientific notation, remember to handle the base numbers and the powers of 10 separately!
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponent Rules
Multiplication
Formulas
(a × 10^m) × (b × 10^n) = (a × b) × 10^(m+n)
Theorems
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Suitable Grade Level
Grades 9-12
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