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Fractional Indices WORKSHEET
Suitable for Grades: 8th Grade, IM 1
CCSS: 8.EE.A.1, 8.EE.A.2
CCSS Description: Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27
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.
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.
Fractional Indices WORKSHEET DESCRIPTION
This worksheet will help your learners simplify and evaluate with fractional indices. They will begin by writing algebraic bases and fractional indices in root form, starting with unit fractions and progressing to fractions such as ⅔. Next, in section B, students do the opposite as they convert algebraic terms from root form to index form.
Sections C and D require learners to find the value of numerical bases and fractional indices. You may wish to allow the use of calculators here as students have to find the value of powers such as 7^5. In section C, all bases are integers and in section D bases are fractions or decimals.
Lastly, section E sees pupils finding missing values to make statements correct. Here they could be working out a missing base or index.
