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Add or subtract terms whenever possible. √3+³√15
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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
Capitolo 1, Problema 82
Write each number in scientific notation. −3829
Guida verificata passo dopo passo1
Identify the original number: -3829.
Determine the sign of the number. Since the number is negative, the sign will be negative in the scientific notation.
Move the decimal point in the number to create a new number between 1 and 10. For -3829, move the decimal point 3 places to the left to get -3.829.
Express the number as the product of the new number and 10 raised to the power of the number of places the decimal was moved. Since the decimal was moved 3 places to the left, the exponent will be positive 3.
Write the scientific notation as \(-3.829 \times 10^{3}\).
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Scientific Notation
Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It simplifies handling very large or small numbers by standardizing their format, such as writing 3829 as 3.829 × 10^3.
Video consigliato:
05:18
Interval Notation
Place Value and Decimal Movement
Converting to scientific notation involves moving the decimal point to create a number between 1 and 10. The number of places moved determines the exponent on 10, which is positive if the decimal moves left and negative if it moves right.
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4:47The Number e
Handling Negative Numbers in Scientific Notation
When writing negative numbers in scientific notation, the negative sign is placed in front of the coefficient. The exponent on 10 remains based on decimal movement and is unaffected by the number's sign.
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05:02Square Roots of Negative Numbers
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