Express 5.341 in scientific notation.
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Enter the coefficient in the green box and the exponent in the yellow box.
Answer (2)
5.341 in scientific notation is expressed as 5.341 × 1 0 0 . The coefficient is 5.341 and the exponent is 0, since no movement of the decimal point is required. This format helps to easily read and work with numbers, especially in scientific contexts.
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Express the number in the form a × 1 0 b , where 1 ≤ a < 10 .
Identify the coefficient a = 5.341 .
Determine the exponent b = 0 since the decimal point does not need to be moved.
Write the number in scientific notation: 5.341 × 1 0 0 .
Explanation
Understanding Scientific Notation We are asked to express the number 5.341 in scientific notation. Scientific notation is a way of writing numbers as a product of a number between 1 and 10 (including 1 but excluding 10) and a power of 10.
Identifying the Coefficient To express 5.341 in scientific notation, we need to write it in the form a × 1 0 b , where 1 ≤ a < 10 and b is an integer. In this case, the number 5.341 is already between 1 and 10, so a = 5.341 .
Determining the Exponent Since 5.341 is already in the desired range, we don't need to move the decimal point. This means that the exponent b is 0, because 5.341 = 5.341 × 1 0 0 .
Final Representation Therefore, the scientific notation of 5.341 is 5.341 × 1 0 0 .
Examples
Scientific notation is extremely useful in fields like physics and astronomy, where you often deal with very large or very small numbers. For example, the speed of light is approximately 3.0 × 1 0 8 meters per second, and the mass of an electron is approximately 9.11 × 1 0 − 31 kilograms. Using scientific notation makes these numbers easier to write and understand.
