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You are solving a measurement problem where the numbers 4.5160 x 10−3, 2.09 x 107, and 5.8 x 103 are multiplied. How many significant digits should the product have? 2 1 5 3

Question

You are solving a measurement problem where the numbers 4.5160 x 10−3, 2.09 x 107, and 5.8 x 103 are multiplied. How many significant digits should the product have? 2 1 5 3

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Solution

The product should have 2 significant digits. This is because when multiplying or dividing, the result should have the same number of significant figures as the number in the calculation with the least significant figures. In this case, 2.09 x 10^7 has the least number of significant figures, which is 2.

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