Properties of Numbers

The sum of two numbers is always greater than either number.

The way in which numbers are grouped does not change their sum.

The order in which numbers are added does not affect the sum.

The sum of a number and zero is the number itself.

The Identity Property of Multiplication states that any number multiplied by zero equals that number.

The Identity Property of Multiplication states that any number multiplied by one equals that number.

The Identity Property of Multiplication states that any number multiplied by itself equals that number.

The Identity Property of Multiplication states that any number multiplied by two equals that number.

The Commutative Property of Multiplication states that changing the order of the factors does not change the product.

The Commutative Property of Multiplication states that the product of any number and zero is zero.

The Commutative Property of Multiplication states that multiplying a number by one gives the same number.

The Commutative Property of Multiplication states that the product of two negative numbers is always positive.

The Multiplicative Inverse Property states that for any number a (except zero), there exists a number 1/a such that a x (1/a) = 1.

The Multiplicative Inverse Property states that for any number a, there exists a number 0 such that a x 0 = 0.

The Multiplicative Inverse Property states that for any number a, there exists a number -a such that a x (-a) = 1.

The Multiplicative Inverse Property states that for any number a (except one), there exists a number 1/a such that a x (1/a) = 0.

The Zero Property of Multiplication states that any number multiplied by zero equals zero.

The Zero Property of Multiplication states that any number multiplied by one equals that number.

The Zero Property of Multiplication states that zero multiplied by any number equals that number.

The Zero Property of Multiplication states that any number added to zero equals that number.

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum.

The Associative Property of Addition states that the order of numbers does not change their sum.

The Associative Property of Addition states that adding zero to a number does not change its value.

The Associative Property of Addition states that the sum of two numbers is always greater than either number.

The Substitution Property states that if two values are equal, one can be substituted for the other in any expression.

The Substitution Property states that the sum of two equal numbers is always greater than either number.

The Substitution Property states that if two values are unequal, they cannot be substituted for each other in any expression.

The Substitution Property states that the product of two equal numbers is always less than either number.

The Transitive Property states that if a = b and b = c, then a = c.

The Transitive Property states that if a + b = c, then a = c - b.

The Transitive Property states that if a > b and b > c, then a > c.

The Transitive Property states that if a * b = c, then a = c / b.

3(4 + 5) = 3*4 + 3*5.

2(3 + 7) = 2*3 + 2*7.

5(1 + 2) = 5*1 + 5*2.

6(2 + 3) = 6*2 + 3.

The Commutative Property of Addition states that changing the order of the addends does not change the sum.

The Commutative Property of Addition states that the sum of two numbers is always greater than either number.

The Commutative Property of Addition states that the sum of two numbers is always equal to the product of those numbers.

The Commutative Property of Addition states that adding zero to a number does not change the number.