Questions and Answers
What is the rule for multiplying powers with the same base?
Keep the base and add the exponents then simplify
What is the rule for dividing powers with the same base?
Always subtract the exponent of the divisor from the exponent of the dividend
What is scientific notation?
A number is written as the product of a factor and a power of 10, with the factor between 1 and 10.
What does the absolute value of the exponent indicate when writing numbers in standard form?
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What are the steps for writing numbers in scientific notation?
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What is the process for multiplying numbers in scientific notation?
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What is the process for dividing numbers in scientific notation?
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Study Notes
Multiplying Powers with the SAME Base
- Keep the base constant when multiplying.
- Add the exponents of the powers.
Dividing Powers with the SAME Base
- Subtract the exponent of the denominator from the exponent of the numerator.
Scientific Notation
- Represents numbers as the product of a factor and a power of 10.
- The factor must be in the range of 1 to 10.
Writing Numbers in Standard Form
- The exponent's absolute value indicates how many decimal places to move.
- Movement direction is determined by the sign of the exponent.
Writing Numbers in Scientific Notation
- Move the decimal point to the right of the leading nonzero digit.
- Count the number of spaces moved to determine the exponent of 10.
Multiplying Numbers in Scientific Notation
- Not specified; typically involves multiplying the factors and adding the exponents.
Dividing Numbers in Scientific Notation
- Not specified; typically involves dividing the factors and subtracting the exponents.
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Description
Explore the fundamental rules of scientific notation with these flashcards. Learn how to multiply and divide powers with the same base, and understand the concept of scientific notation in a clear and concise way. Perfect for students looking to reinforce their understanding of this essential mathematical concept.
