# The Real Number System

## Contact(s)

Judith Spitzli
515-402-8600

Iowa Core Mathematics Documents

Iowa Core Mathematics Support - Resources to support Iowa Core Mathematics.

## Standards in this domain:

### Extend the properties of exponents to rational exponents.

• HSN-RN.A.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.
• HSN-RN.A.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

### Use properties of rational and irrational numbers.

• HSN-RN.B.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Printed from the Iowa Department of Education website on April 20, 2014 at 9:33am.