Write each number in decimal notation without the use of exponents.
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Identify the given number in scientific notation: \$9.2 \times 10^{2}$.
Recall that \$10^{2}\( means \)10\( raised to the power of \)2\(, which equals \)100$.
Rewrite the expression by replacing \$10^{2}\( with \)100\(: \)9.2 \times 100$.
Multiply \$9.2\( by \)100$ by moving the decimal point two places to the right.
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 to express very large or very small numbers using powers of ten. It is written as a number between 1 and 10 multiplied by 10 raised to an exponent. For example, 9.2×10^2 means 9.2 times 10 squared.
Powers of ten represent repeated multiplication of 10. For instance, 10^2 means 10 multiplied by itself twice (10 × 10 = 100). Understanding powers of ten helps convert numbers from scientific notation to standard decimal form.
Decimal notation is the standard way of writing numbers using digits 0-9 without exponents. Converting from scientific notation to decimal notation involves multiplying the base number by the power of ten and writing the result as a regular number.