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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1:27 minutes

Problem 66

Textbook Question

In Exercises 65–76, write each number in decimal notation without the use of exponents. 9.2×10^2

Verified step by step guidance

Identify the given number in scientific notation: \(9.2 \times 10^2\).

Understand that \(10^2\) means moving the decimal point 2 places to the right.

Start with the number 9.2 and move the decimal point 2 places to the right.

After moving the decimal point, fill in any empty decimal places with zeros if necessary.

Write the final number in decimal notation without exponents.

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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, in the expression 9.2×10^2, 9.2 is the coefficient, and 10^2 indicates that the coefficient should be multiplied by 100.

Decimal Notation

Decimal notation is the standard way of writing numbers using digits from 0 to 9, where the position of each digit represents a power of ten. Converting from scientific notation to decimal notation involves calculating the value of the power of ten and multiplying it by the coefficient to express the number in a more familiar format.

Multiplication of Powers of Ten

When multiplying a number by a power of ten, you shift the decimal point to the right for positive exponents and to the left for negative exponents. In the case of 9.2×10^2, the exponent 2 indicates that the decimal point in 9.2 should be moved two places to the right, resulting in the decimal notation of 920.