Exponents and Scientific Notation
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an exponent?
Back
An exponent is a number that indicates how many times to multiply the base by itself. For example, in 5², 5 is the base and 2 is the exponent, meaning 5 is multiplied by itself 2 times (5 x 5).
2.
FLASHCARD QUESTION
Front
What is the product of 5³ and 5⁴?
Back
5⁷
3.
FLASHCARD QUESTION
Front
How do you simplify a negative exponent?
Back
A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, 9⁻³ = 1/9³.
4.
FLASHCARD QUESTION
Front
What is scientific notation?
Back
Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10. For example, 3000 can be written as 3 x 10³.
5.
FLASHCARD QUESTION
Front
How do you multiply numbers in scientific notation?
Back
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, (3 x 10²) x (2 x 10³) = 6 x 10^(2+3) = 6 x 10⁵.
6.
FLASHCARD QUESTION
Front
What is the value of 1.111 x 10¹⁵ compared to 9.999 x 10³?
Back
1.111 x 10¹⁵ is greater because it has a larger exponent.
7.
FLASHCARD QUESTION
Front
How do you convert a number from standard form to scientific notation?
Back
To convert to scientific notation, 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.
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