Scientific Notation Operations

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is scientific notation?
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 add numbers in scientific notation with the same exponent?
Back
Add the coefficients and keep the exponent the same. For example, (2 x 10^5) + (3 x 10^5) = (2 + 3) x 10^5 = 5 x 10^5.
3.
FLASHCARD QUESTION
Front
How do you add numbers in scientific notation with different exponents?
Back
Convert one number to have the same exponent as the other, then add the coefficients. For example, (4.1 x 10^5) + (5.5 x 10^6) becomes (4.1 x 10^5) + (55 x 10^5) = 59.1 x 10^5 = 5.91 x 10^6.
4.
FLASHCARD QUESTION
Front
What is the standard form of a number?
Back
The standard form is the way of writing numbers without exponents. For example, 1.5 x 10^3 in standard form is 1500.
5.
FLASHCARD QUESTION
Front
How do you convert a number from scientific notation to standard form?
Back
Move the decimal point in the coefficient to the right for positive exponents and to the left for negative exponents. For example, -5.6 x 10^-3 = -0.0056.
6.
FLASHCARD QUESTION
Front
What is the rule for multiplying numbers in scientific notation?
Back
Multiply the coefficients and add the exponents. For example, (5 x 10^6) * (5 x 10^7) = (5 * 5) x 10^(6+7) = 25 x 10^13.
7.
FLASHCARD QUESTION
Front
What is the rule for dividing numbers in scientific notation?
Back
Divide the coefficients and subtract the exponents. For example, (9 x 10^-6) / (3 x 10^-3) = (9/3) x 10^(-6 - (-3)) = 3 x 10^-3.
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