In grade 6, students worked with whole number exponents. This lesson reviews those concepts and subtly introduces the idea that repeated division by a number can be thought of as repeated multiplication by the reciprocal of that number, which plays a key role in later work on negative exponents.
- Comprehend that repeated division by 2 is equivalent to repeated multiplication by one-half.
- Create an expression that represents repeated multiplication, and explain (orally) how the structure of the expression helps compare quantities.
Let’s review exponents.
- I can use exponents to describe repeated multiplication.
- I understand the meaning of a term with an exponent.
In expressions like \(5^3\) and \(8^2\), the 3 and the 2 are called exponents. They tell you how many factors to multiply. For example, \(5^3\) = \(5 \boldcdot 5 \boldcdot 5\), and \(8^2 = 8 \boldcdot 8\).
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