order of operations

Front

What is the order of operations in mathematics?

Back

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

Front

Calculate: 9 x (5 + 2)

Back

63

Front

Calculate: 4 x (3 + 9)

Back

48

Front

Is 48 x 6 the same as 6 x (40 + 8)?

Back

Yes, both expressions are equal due to the commutative property of multiplication.

Front

Evaluate: 78 - (3 x 2) + 6

Back

78

Front

Evaluate: 6 x (10 - 4)

Back

24

Front

What does the term 'parentheses' mean in the order of operations?

Back

Parentheses are symbols used to group numbers or expressions together, indicating that the operations inside should be performed first.

Front

What is the commutative property of multiplication?

Back

The commutative property states that changing the order of the factors does not change the product. For example, 3 x 4 = 4 x 3.

Front

What is the associative property of addition?

Back

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

Front

Calculate: 5 + 3 x 2

Back

11