Table of contents

0. Review of Algebra4h 18m
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 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:37 minutes

Problem 9

Textbook Question

In Exercises 1–14, write each number in decimal notation without the use of exponents.7.9X10⁻¹

Verified step by step guidance

Identify the given number in scientific notation: \(7.9 \times 10^{-1}\).

Understand that the exponent \(-1\) indicates a division by 10, or moving the decimal point one place to the left.

Move the decimal point in 7.9 one place to the left to convert it to decimal notation.

After moving the decimal point, the number becomes 0.79.

Thus, the number in decimal notation is 0.79.

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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 a product of a number (the coefficient) and a power of ten. For example, 7.9 x 10⁻¹ means 7.9 multiplied by 10 raised to the power of -1, which indicates a decimal shift to the left.

Decimal Notation

Decimal notation is the standard way of writing numbers using digits and a decimal point. It represents values in a base-10 system, where each digit's position indicates its value. Converting from scientific notation to decimal notation involves calculating the value of the coefficient multiplied by the power of ten.

Negative Exponents

Negative exponents indicate that the base should be taken as a reciprocal. For instance, 10⁻¹ means 1 divided by 10, or 0.1. This concept is crucial when converting scientific notation to decimal form, as it determines how many places to move the decimal point to the left.