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

1:33 minutes

Problem 33c

Textbook Question

Write each number in decimal notation: 7.45*10^(-5)

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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 more manageable form. It is written as a product of a number (the coefficient) between 1 and 10 and a power of ten. For example, 7.45*10^(-5) means 7.45 divided by 100,000, which simplifies calculations and comparisons of very large or small values.

Decimal Notation

Decimal notation is the standard form of writing numbers using digits and a decimal point to separate the whole number part from the fractional part. It allows for precise representation of values, including those that are very small or very large. Converting from scientific notation to decimal notation involves calculating the power of ten and adjusting the decimal point accordingly.

Exponents

Exponents indicate how many times a number, known as the base, is multiplied by itself. In the expression 10^(-5), the base is 10 and the exponent is -5, which means 1 divided by 10 raised to the power of 5, or 1/100,000. Understanding exponents is crucial for manipulating scientific notation and converting it to decimal form.