Textbook Question
Find the union of the sets. {e,m,p,t,y} ∪ ∅
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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 34
Write each number in scientific notation. 3,590,000
Verified step by step guidance1
Identify the original number: 3,590,000.
Determine the decimal point's position in the original number. It is currently at the end (after the last zero).
Move the decimal point to the left until only one non-zero digit remains to the left of the decimal point. Count how many places you move it. For 3,590,000, move the decimal point 6 places to the left, so it becomes 3.59.
Express the number as the product of the new decimal number and 10 raised to the power of the number of places moved. This gives the form: \(3.59 \times 10^6\).
Write the final scientific notation as \(3.59 \times 10^6\).
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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 as a product of a number between 1 and 10 and a power of 10. It simplifies calculations and makes it easier to read and compare numbers.
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Interval Notation
Place Value and Decimal Movement
Understanding place value helps determine how many places to move the decimal point to convert a number into scientific notation. For large numbers, the decimal moves left to create a number between 1 and 10.
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Exponents of Ten
The exponent in scientific notation indicates how many times 10 is multiplied by itself. For large numbers, the exponent is positive and equals the number of decimal places moved to the left.
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Guided course
04:06Rational Exponents
Related Practice
Textbook Question
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. {-9, -4/5, 0, 0.25, √3, 9.2, √100}
Textbook Question
Add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)
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Textbook Question
Write each number in decimal notation: 7.45*10^(-5)
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Textbook Question
In Exercises 33–44, add or subtract terms whenever possible. 8√5+11√5
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Textbook Question
Simplify each exponential expression in Exercises 23–64.