In scientific notation, a number is written as the product of a coefficient and the number 10 raised to a power.
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True. In scientific notation, a number is indeed written as the product of a coefficient and the number 10 raised to a power. This notation is commonly used in scientific and mathematical calculations to represent very large or very small numbers in a concise and standardized format. To express a number in scientific notation, follow these steps:
1. Identify the coefficient: This is a number between 1 and 10 (inclusive) that represents the significant digits of the original number.
2. Determine the exponent: Count the number of places the decimal point needs to be moved to make the coefficient a number between 1 and 10. If you move the decimal point to the left, the exponent will be positive, and if you move it to the right, the exponent will be negative.
3. Write the number in scientific notation: Write the coefficient, followed by the multiplication symbol (usually represented by x or ·), followed by 10 raised to the power of the exponent. For example, the number 123,000 in scientific notation would be written as 1.23 x 10^5, where 1.23 is the coefficient and 5 is the exponent.