The Real Number System and Properties

Front

What is the MULTIPLICATIVE INVERSE of 8?

Back

The multiplicative inverse of 8 is 1/8.

Front

The natural numbers are also called counting numbers. True or False?

Back

True

Front

Is the set of odd numbers closed under addition?

Back

No, the sum of two odd numbers is even.

Front

Identify the property: a(b + c) = ab + ac

Back

Distributive Property.

Front

Is the set of positive integers closed under division?

Back

No, dividing a positive integer by another positive integer can result in a non-integer.

Front

What are the real numbers?

Back

The real numbers include all rational and irrational numbers.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is an irrational number? Give an example.

Back

An irrational number cannot be expressed as a simple fraction. Example: √2.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that a + b = b + a.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that (a + b) + c = a + (b + c).