(Scientific Notation in the Real World LC)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
(Scientific Notation in the Real World LC)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
Solution
The number of significant digits in the product of several numbers is determined by the number in the calculation with the least significant digits. In this case, the numbers 4.5160 x 10−3 has 5 significant digits, 2.09 x 107 has 3 significant digits, and 5.8 x 103 has 2 significant digits. Therefore, the product should have 2 significant digits, as this is the smallest number of significant digits in the numbers being multiplied.
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