Properties

Question 1

The sum of the addition of two or more whole numbers is always a whole number.

Whole Number + Whole Number = Whole Number

Answer 1

Closure Property of Addition

Question 2

When we add two or more whole numbers, their sum is the same regardless of the order of the addends.

Example 1: 2 + 4 = 4 + 2 = 6

Answer 2

Commutative Property of Addition

Question 3

When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

For example (4 + 2) + 3 = (4 + 3) + 2

Answer 3

Associative Property of Addition

Question 4

On adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number.

For example, 3 + 0 = 3

Answer 4

Additive Identity Property

Question 5

For numbers a, b, and c, (a × b) × c = a × (b × c).

Answer 5

Associative Property of Multiplication

Question 6

For numbers a, b, and c, a × (b + c) = (a × b) + (a × c).

Answer 6

Distributive Property of Multiplication

Question 7

When we multiply two numbers, the order doesn’t matter. For numbers a and b, a × b = b × a.

Answer 7

Commutative Property of Multiplication

Question 8

Any number multiplied by 1, gives the same result as the number itself.

Answer 8

Multiplicative Identity Property

Question 9

The product of any number and zero, is zero.

Answer 9

Zero Property of Multiplication