Math Problem Statement
The distance from Earth to the nearest star is 40,208,000,000 kilometers. How is this number of kilometers written in scientific notation?
A.4.0208 × 1010
B.4.0208 × 10-6
C.4.0208 × 10-10
D.4.0208 × 106
Solution
To convert the number kilometers into scientific notation, follow these steps:
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Move the decimal point in the number so that there is only one non-zero digit to the left of the decimal point. In this case, we move the decimal point 10 places to the left to get .
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Count the number of places you moved the decimal point. In this case, we moved the decimal point 10 places.
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Multiply the number by 10 raised to the power of the number of places you moved the decimal point.
Thus, the scientific notation is:
Answer:
The correct answer is A:
Would you like more details on this process?
Here are 5 related questions you might explore:
- What is the scientific notation for a smaller number, like 0.0000456?
- How do you multiply two numbers in scientific notation?
- What is the advantage of using scientific notation in astronomy?
- How do you convert scientific notation back to standard form?
- How do you perform division with numbers in scientific notation?
Tip: Scientific notation is useful for very large or very small numbers, allowing easier manipulation and clearer expression in calculations.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8