Properties of Numbers

Front

What is the multiplicative inverse of a number?

Back

The multiplicative inverse of a number is another number which, when multiplied with the original number, results in 1. For example, the multiplicative inverse of 2/3 is 3/2.

Front

What is the Substitution Property in mathematics?

Back

The Substitution Property states that if two values are equal, one can be substituted for the other in any expression. For example, if x = 5, then 8x = 8(5).

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any number is equal to itself. For example, 3 + 8 = 3 + 8.

Front

What is a reciprocal?

Back

A reciprocal is the multiplicative inverse of a number. For example, the reciprocal of 4 is 1/4.

Front

What is the Zero Property of Multiplication?

Back

The Zero Property states that any number multiplied by zero equals zero. For example, 9 x 0 = 0.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property states that any number multiplied by 1 remains unchanged. For example, 7 x 1 = 7.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that a number plus its additive inverse equals zero. For example, 5 + (-5) = 0.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property states that the order of addition does not change the sum. For example, 3 + 5 = 5 + 3.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that the order of multiplication does not change the product. For example, 4 x 6 = 6 x 4.

Front

What is the Associative Property of Addition?

Back

The Associative Property states that the way numbers are grouped in addition does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).