Properties of Whole numbers

Front

What are whole numbers?

Back

Whole numbers are the set of non-negative integers, including zero (0, 1, 2, 3, ...).

Front

Are whole numbers closed under addition?

Back

Yes, the sum of any two whole numbers is always a whole number.

Front

Are whole numbers closed under subtraction?

Back

No, subtracting a larger whole number from a smaller one can result in a negative number.

Front

Are whole numbers closed under multiplication?

Back

Yes, the product of any two whole numbers is always a whole number.

Front

Are whole numbers closed under division?

Back

No, dividing a whole number by another whole number can result in a fraction.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. Example: (a + b) + c = a + (b + c).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. Example: a + b = b + a.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products. Example: a(b + c) = ab + ac.

Front

Is the Associative Property true for subtraction?

Back

No, the Associative Property does not hold for subtraction.

Front

Is the Commutative Property true for subtraction?

Back

No, the Commutative Property does not hold for subtraction.