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Understanding Exact and Measured Numbers in Mathematics

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In mathematics, it's crucial to distinguish between exact and measured numbers. Exact numbers are obtained through counting objects, such as 2 soccer balls and 4 pizzas, or from defined conversion factors, such as 1 foot = 12 inches. These numbers are not derived from measuring tools and do not limit the number of significant figures in results. Conversely, measured numbers are obtained with measuring tools or involve counting and conversion factors. Learn how to classify examples of each type while grasping their significance in calculations.

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Understanding Exact and Measured Numbers in Mathematics

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  1. Exact Numbers • Obtained when you count objects 2 soccer balls 1 watch 4 pizzas • Obtained from a defined conversion factors 1 foot = 12 inches 1 meters = 100 cm • Not obtained with measuring tools • Do not limit the # of sig figs in the answer.

  2. Learning Check A. Exact numbers are 1. measured values 2. count values 3. defined conversion factors B. Measured numbers are obtained by (from) 1. using a measuring tool 2. counting 3. defined conversion factors

  3. Learning Check Classify each of the following as an exact (1) or a measured (2) number. A.___Gold melts at 1064°C B.___1 yard = 3 feet C.___A red blood cell with diameter 6 x 10-4 cm D.___There were 6 hats on the shelf E.___A can of soda contains 355 mL of soda 2 1 2 1 2

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