Order of Operations and Properties

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'exponent' mean?

Back

An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 5^3, 5 is the base and 3 is the exponent, meaning 5 x 5 x 5.

Front

What is the Commutative Property of Addition?

Back

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

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors 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 of Addition states that the way in which numbers are grouped does not change their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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 individual products. For example, a(b + c) = ab + ac.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, 7 + 0 = 7.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, 9 x 1 = 9.

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number is another number that, when multiplied together, gives a product of one. For example, the multiplicative inverse of 5 is 1/5 because 5 x 1/5 = 1.