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In grades 68, students develop an understanding of large numbers and learn to recognize and use exponential, scientific, and calculator notation. They also study the inverse operations of squaring and finding square roots to simplify computations and solve problems, learning to find the approximate location of square roots between whole numbers on a number line. Middle School Problems of the Week that allow students to practice these skills are found below. They address the NCTM Number and Operations Standard for Grades 68 expectation that students should understand numbers, ways of representing numbers, relationships among numbers, number systems, and meanings of operations and how they relate to one another. For background information elsewhere on our site, explore the Middle School Exponents and Square Roots areas of the Ask Dr. Math archives, and see Large Numbers and Infinity and Square/cube roots without a calculator from the Dr. Math FAQ. To find relevant sites on the Web, browse and search Exponents/Roots in our Internet Mathematics Library; to find middleschool sites, go to the bottom of the page, set the searcher for middle school (68), and press the Search button. Access to these problems requires a Membership. 
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