Textbook Question
Factor completely, or state that the polynomial is prime.
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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Table of contents
- 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
Chapter 1, Problem 66
Write each number in decimal notation without the use of exponents.
Verified step by step guidance1
Identify the given number in scientific notation: \(9.2 \times 10^{2}\).
Recall that \$10^{2}$ means \(10\) raised to the power of \(2\), which equals \(100\).
Rewrite the expression by replacing \$10^{2}$ with \(100\): \(9.2 \times 100\).
Multiply \(9.2\) by \(100\) by moving the decimal point two places to the right.
Write the final number in decimal notation without exponents.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a way to express very large or very small numbers using powers of ten. It is written as a number between 1 and 10 multiplied by 10 raised to an exponent. For example, 9.2×10^2 means 9.2 times 10 squared.
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Interval Notation
Powers of Ten
Powers of ten represent repeated multiplication of 10. For instance, 10^2 means 10 multiplied by itself twice (10 × 10 = 100). Understanding powers of ten helps convert numbers from scientific notation to standard decimal form.
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Decimal Notation
Decimal notation is the standard way of writing numbers using digits 0-9 without exponents. Converting from scientific notation to decimal notation involves multiplying the base number by the power of ten and writing the result as a regular number.
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Related Practice
Textbook Question
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (3x4 y2+5x3 y−3y)−(2x4 y2−3x3 y−4y+6x)
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Textbook Question
In Exercises 33–68, add or subtract as indicated. x/(x2−2x−24) − x/(x2−7x+6)
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Textbook Question
Evaluate each expression 1251/3.
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Textbook Question
In Exercises 33–68, add or subtract as indicated. (4x2+x−6)/(x2+3x+2)−3x/(x+1)+5/(x+2)
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Textbook Question
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number.
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