Negative Indices WORKSHEET
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Negative Indices WORKSHEET DESCRIPTION
This worksheet will guide pupils through working with negative indices, beginning with finding the reciprocals of variables, integers, fractions, terminating decimals and a recurring decimal in sections A and B. Section C consists of 8 algebraic terms with negative indices which learners must write in fractional form. Students will do the opposite of this in section D, where 8 fractions are to be written in base and index form. Next, in section E, will work out the value of 12 different numerical bases and negative indices. Bases are integer, fractional and decimals. Lastly, pupils are to fill in the blanks to make mathematical statements correct. Such as 1/16 = 2^?.
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Frequently Asked Questions
This worksheet is designed for Algebra I, 8th Grade, and IM 1 students. These grade levels typically have the algebraic foundation needed to understand the relationship between negative exponents and reciprocals. Students at this level can handle the progression from basic reciprocals to more complex algebraic expressions with negative indices.