Grade 8 Math: Exponents

This topic furthers the ideas of exponents. This series of four lessons describes raising a rational number to a power. Further, it introduces the idea of multiplying exponents, and describes negative exponents.

This series of lessons furthers the understanding of the rational numbers.

Powers of Rational Numbers

This lesson introduces the student to the idea of raising a fractional number to a power. The student learns that raising a fraction to a power is the same as raising both the numerator and the denominator to that power. They also learn that raising a fraction to a power requires parentheses for mathematical notation to be correct. Finally, the student learns how to raise decimals to a power.

Multiplying Exponents

This lesson introduces the student to the multiplication property of exponents. Essentially, it teaches the student that when multiplying two numbers with the same base, they can add the powers together to find the product. The student is also warned that they cannot multiply two different bases, nor can they combine powers when the bases are added.

Negative Exponents: Definition

In this lesson, the student learns the meaning of negative exponents. The student is taught the definition of negative exponents through the inverse property of multiplication and the multiplication property of exponents.

Negative Exponents in the Denominator

This lesson teaches the student how to handle negative exponents in the denominator. The student learns to rewrite negative exponents in the denominator to positive exponents in the numerator.

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