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Question
Express the following sum to the appropriate number of significant figures:
2.3 × 103 mL + 4.22 × 104 mL + 9.04 × 103 mL + 8.71 × 105 mL
Solution
To perform an addition/subtraction operation, first, the numbers are written in such a way that they have the same exponent. The coefficients are then added/subtracted.
(0.23 × 104 mL) + (4.22 × 104 mL) + (0.904 × 104 mL) + (87.1 × 104 mL)
= (0.23 + 4.22 + 0.904 +87.1) × 104 mL
= 92.454 × 104 mL
Sum to an appropriate number of significant figures = 92.454 × 104 mL
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