Operations with Rational and Irrational Numbers with Fractional Indices (10A)

Define rational and irrational numbers and perform operations with surds and fractional indices(VCMNA355)

LO: To perform operations with surds and fractional Indices
Know:

  • What a fraction is.
  • How to apply the four operations to fractional values

Understand:

  • That the four operations can be applied to rational and irrational numbers with fractional indices

Do:

  • I can apply the four operations to rational and irrational numbers with fractional indices

Visual Representations

Notes

Performing operations with fractional indices is fairly easy.

With fractional indices the numerator (top number of a fraction) remains the indice (exponent). The denominator (bottom number of a fraction) becomes the nth root.

In this example, the 27 is the base with 2/3 as the fractional exponent (indice). So you would rewrite this as the cube root of 27 to the power of 2.

Fractional Indice Videos

Textbook Questions

My Maths 10/10A

Exercise 3F pg. 135 Q. 1-6, 16-17Exercise 2F pg. 85 Q. 1-4, 7-8, 11

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