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In Exercises 83–90, perform the indicated operation or operations. (3x+4y)2−(3x−4y)2
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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 84
Write each number in scientific notation. 0.0083
Guida verificata passo dopo passo1
Identify the original number: 0.0083.
Recall that scientific notation expresses a number as \(a \times 10^{n}\), where \(1 \leq |a| < 10\) and \(n\) is an integer.
To write 0.0083 in scientific notation, move the decimal point to the right until you have a number between 1 and 10. Count how many places you move the decimal.
Since you move the decimal 3 places to the right, the exponent \(n\) will be negative 3.
Express the number as \(8.3 \times 10^{-3}\).
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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 very small numbers by using exponents to indicate the decimal shift.
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05:18
Interval Notation
Decimal Place 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, positive if moved left, negative if moved right.
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4:47The Number e
Negative Exponents
When the original number is less than 1, the exponent in scientific notation is negative. This indicates the decimal point was moved to the right to form the coefficient between 1 and 10.
Video consigliato:
6:37Zero and Negative Rules
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