Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

1:06 minutes

Problem 34b

Textbook Question

Write each number in scientific notation. 3,590,000

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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 of expressing numbers that are too large or too small in a compact form. It is written as the product of a number between 1 and 10 and a power of ten. For example, the number 3,590,000 can be expressed as 3.59 x 10^6, where 3.59 is the coefficient and 6 is the exponent.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. In scientific notation, only the digits in the coefficient are considered significant. For instance, in the number 3.59 x 10^6, the digits 3, 5, and 9 are significant, indicating the precision of the measurement.

Exponent Rules

Exponent rules govern how to manipulate powers of ten in mathematical expressions. When multiplying numbers in scientific notation, you add the exponents, while for division, you subtract them. Understanding these rules is essential for correctly performing operations with numbers expressed in scientific notation.