MAFS.912.N-RN.2.3: 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.

There are 47 resources.
Title Description Thumbnail Image Curriculum Topics

Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers

Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

Rational Expressions

Definition--Closure Property Topics--Closure Property

Definition--Closure Property Topics--Closure Property This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Complex Numbers and Closure: Addition

Definition--Closure Property Topics--Complex Numbers and Closure: Addition This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Complex Numbers and Closure: Division

Definition--Closure Property Topics--Complex Numbers and Closure: Division This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Complex Numbers and Closure: Multiplication

Definition--Closure Property Topics--Complex Numbers and Closure: Multiplication This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Complex Numbers and Closure: Subtraction

Definition--Closure Property Topics--Complex Numbers and Closure: Subtraction This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Even Numbers and Closure: Addition

Definition--Closure Property Topics--Even Numbers and Closure: Addition This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Even Numbers and Closure: Division

Definition--Closure Property Topics--Even Numbers and Closure: Division This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Even Numbers and Closure: Multiplication

Definition--Closure Property Topics--Even Numbers and Closure: Multiplication This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Even Numbers and Closure: Subtraction

Definition--Closure Property Topics--Even Numbers and Closure: Subtraction This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Fractions and Closure: Addition

Definition--Closure Property Topics--Fractions and Closure: Addition This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Fractions and Closure: Division

Definition--Closure Property Topics--Fractions and Closure: Division This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Fractions and Closure: Multiplication

Definition--Closure Property Topics--Fractions and Closure: Multiplication This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Fractions and Closure: Subtraction

Definition--Closure Property Topics--Fractions and Closure: Subtraction This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Integers and Closure: Addition

Definition--Closure Property Topics--Integers and Closure: Addition This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Integers and Closure: Division

Definition--Closure Property Topics--Integers and Closure: Division This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Integers and Closure: Multiplication

Definition--Closure Property Topics--Integers and Closure: Multiplication This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Integers and Closure: Subtraction

Definition--Closure Property Topics--Integers and Closure: Subtraction This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Odd Numbers and Closure: Addition

Definition--Closure Property Topics--Odd Numbers and Closure: Addition This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Odd Numbers and Closure: Division

Definition--Closure Property Topics--Odd Numbers and Closure: Division This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Odd Numbers and Closure: Multiplication

Definition--Closure Property Topics--Odd Numbers and Closure: Multiplication This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Odd Numbers and Closure: Subtraction

Definition--Closure Property Topics--Odd Numbers and Closure: Subtraction This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Rational Numbers and Closure: Addition

Definition--Closure Property Topics--Rational Numbers and Closure: Addition This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Rational Numbers and Closure: Division

Definition--Closure Property Topics--Rational Numbers and Closure: Division This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions

Definition--Closure Property Topics--Rational Numbers and Closure: Multiplication

Definition--Closure Property Topics--Rational Numbers and Closure: Multiplication This is part of a collection of definitions on the topic of closure. This collection includes closure under the four basic operations, as well as for even numbers, odd numbers, whole numbers, integers, fractions, rational numbers, real number, and complex numbers.

Numerical Expressions