What is scientific notation?
Operations with Scientific Notation

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A way to express very large or very small numbers using powers of ten. For example, 3000 can be written as 3 x 10^3.
2.
FLASHCARD QUESTION
Front
How do you multiply numbers in scientific notation?
Back
Multiply the coefficients and add the exponents. For example, (2 x 10^3) x (1.9 x 10^2) = (2 * 1.9) x 10^(3+2) = 3.8 x 10^5.
3.
FLASHCARD QUESTION
Front
How do you divide numbers in scientific notation?
Back
Divide the coefficients and subtract the exponents. For example, (5 x 10^12) ÷ (2 x 10^6) = (5 ÷ 2) x 10^(12-6) = 2.5 x 10^6.
4.
FLASHCARD QUESTION
Front
How do you convert a decimal to scientific notation?
Back
Move the decimal point to create a number between 1 and 10, then count the number of places moved. For example, 0.0005 = 5 x 10^-4.
5.
FLASHCARD QUESTION
Front
What is the coefficient in scientific notation?
Back
The number in front of the power of ten. For example, in 3.4 x 10^5, 3.4 is the coefficient.
6.
FLASHCARD QUESTION
Front
What does the exponent in scientific notation represent?
Back
The exponent indicates how many times to multiply the coefficient by 10. A positive exponent means a large number, while a negative exponent means a small number.
7.
FLASHCARD QUESTION
Front
How do you add or subtract numbers in scientific notation?
Back
First, make sure the exponents are the same. Then, add or subtract the coefficients. For example, (3.8 x 10^4) - (2 x 10^3) = (3.8 x 10^4) - (0.2 x 10^4) = 3.6 x 10^4.
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