What is scientific notation?
Scientific Notation

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Science
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A method of expressing numbers as a product of a coefficient and a power of 10, typically in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.
2.
FLASHCARD QUESTION
Front
How do you multiply numbers in scientific notation?
Back
Multiply the coefficients and add the exponents: (a × 10^m) × (b × 10^n) = (a × b) × 10^(m+n).
3.
FLASHCARD QUESTION
Front
How do you divide numbers in scientific notation?
Back
Divide the coefficients and subtract the exponents: (a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m-n).
4.
FLASHCARD QUESTION
Front
What is the order of magnitude?
Back
The order of magnitude of a number is the power of 10 when the number is expressed in scientific notation.
5.
FLASHCARD QUESTION
Front
How do you convert a standard number to scientific notation?
Back
Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficient in scientific notation?
Back
The coefficient must be between 1 and 10, which helps standardize the representation of numbers.
7.
FLASHCARD QUESTION
Front
How do you add numbers in scientific notation?
Back
Convert to the same exponent, then add the coefficients: (a × 10^n) + (b × 10^n) = (a + b) × 10^n.
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