교과서 질문
In Exercises 65–92, factor completely, or state that the polynomial is prime. x3+2x2−4x−8
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
1장, 문제 80
Write each number in scientific notation. 579,000,000,000,000,000
검증된 단계별 안내1
Identify the original number: 579,000,000,000,000,000.
Count how many places the decimal point must move to the left to place it after the first non-zero digit (which is 5). For this number, the decimal moves 17 places.
Rewrite the number by placing the decimal point after the first digit: 5.79.
Express the original number as the product of this new decimal number and 10 raised to the power of the number of places moved: \(5.79 \times 10^{17}\).
This is the scientific notation form of the original number.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Scientific Notation
Scientific notation is a way to express very large or very small numbers as a product of a number between 1 and 10 and a power of 10. It simplifies handling and comparing such numbers by using exponents to represent the scale.
추천 영상:
05:18
Interval Notation
Place Value and Decimal Point Movement
Understanding place value helps determine how many places to move the decimal point to convert a number into scientific notation. Moving the decimal left for large numbers counts the number of places as the exponent of 10.
추천 영상:
4:47The Number e
Exponents of Ten
Exponents of ten indicate how many times 10 is multiplied by itself. In scientific notation, the exponent shows the magnitude of the number, with positive exponents for large numbers and negative for small numbers.
추천 영상:
04:06Rational Exponents
관련 실천
교과서 질문
State the name of the property illustrated. 7⋅(11⋅8)=(11⋅8)⋅7
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교과서 질문
In Exercises 69–82, simplify each complex rational expression. (1/(x+h)2 − 1/x2)/h
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In Exercises 67–82, find each product. (7xy2−10y)(7xy2+10y)
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In Exercises 75–82, add or subtract terms whenever possible. ³√54xy3−y³√128x
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교과서 질문
In Exercises 77–86, write each number in scientific notation. 64,000
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