Exponents and Roots

Using exponents and roots is an interesting and important way of representing numbers in mathematics. This concept covers exponents and their properties, squares, square roots, and their applications, including the Pythagorean theorem, and scientific notation.

The concept is broken into smaller topics, which makes it easier and much more fun for students. The topics are listed below:-

Estimating Square Roots

This topic covers estimating square roots to a given number of decimal places and solving problems using estimation of square roots.

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Exponents

In this topic, we learn how to write exponents, evaluate them. The topic also covers how to use the order of operations to evaluate expressions involving exponents and their practical applications

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Integer Exponents

In this topic, we learn to evaluate expressions with negative exponents and to evaluate the zero exponent

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Properties of Exponents

In this topic, we learn to apply the properties of exponents. We learn to multiply and divide exponents with the same base. We also cover raising power to a power.

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Scientific Notation

In this topic, we learn to express large and small numbers in scientific notation and to compare two numbers written in scientific notation

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Squares and Square Roots

This topic deals with finding square roots. Evaluating expressions with square roots and application problems are also covered.

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The Pythagorean Theorem

This topic covers finding the length of the third side of a right triangle when the other two sides are known. The topic also covers Pythagorean triples and some application problems.

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