Domanda del libro di testo
Add or subtract terms whenever possible.
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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 36
Perform the indicated operation and write the answer in decimal notation.
Guida verificata passo dopo passo1
Identify the given expression: \( (3 \times 10^{3}) (1.3 \times 10^{2}) \). This is a multiplication of two numbers expressed in scientific notation.
Use the property of exponents and multiplication: when multiplying numbers in scientific notation, multiply the coefficients (the numbers in front) and add the exponents of 10. So, multiply 3 and 1.3, and add the exponents 3 and 2.
Calculate the product of the coefficients: \(3 \times 1.3\).
Add the exponents of 10: \(3 + 2\) to get the new exponent.
Combine the results to write the product in scientific notation, then convert this scientific notation to decimal notation by moving the decimal point according to the exponent.
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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 working with very large or small numbers by using exponents, such as 3 × 10^3 representing 3000.
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Interval Notation
Multiplication of Numbers in Scientific Notation
When multiplying numbers in scientific notation, multiply the decimal parts and add the exponents of 10. For example, (3 × 10^3)(1.3 × 10^2) equals (3 × 1.3) × 10^(3+2).
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4:47The Number e
Conversion to Decimal Notation
After performing operations in scientific notation, convert the result to decimal notation by calculating the power of 10 and multiplying it by the decimal number. This gives the final answer in standard numerical form.
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05:18Interval Notation
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