Order of Operations

Front

What is the Order of Operations in mathematics?

Back

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

Front

What does 'expanded form' mean in mathematics?

Back

Expanded form is a way of writing numbers to show the value of each digit. For example, 4^6 in expanded form is 4 x 4 x 4 x 4 x 4 x 4.

Front

How do you evaluate an expression with parentheses?

Back

To evaluate an expression with parentheses, first perform the operations inside the parentheses before applying any other operations according to the Order of Operations.

Front

What is the value of 3^4?

Back

The value of 3^4 is 81, calculated as 3 x 3 x 3 x 3.

Front

How do you solve an expression with both addition and multiplication?

Back

According to the Order of Operations, you should perform multiplication before addition. For example, in the expression 4 + 2 x 8, you first calculate 2 x 8, which equals 16, and then add 4, resulting in 20.

Front

What is the result of (6 + 2) x (3 + 2)?

Back

The result is 40. First, calculate the values inside the parentheses: (6 + 2) = 8 and (3 + 2) = 5. Then multiply: 8 x 5 = 40.

Front

What is the difference between multiplication and addition in the Order of Operations?

Back

In the Order of Operations, multiplication is performed before addition. This means that in an expression with both operations, you should calculate the multiplication first.

Front

What is the purpose of using parentheses in mathematical expressions?

Back

Parentheses are used to indicate which operations should be performed first in a mathematical expression, ensuring clarity and accuracy in calculations.

Front

How do you convert a power to its base form?

Back

To convert a power to its base form, you multiply the base by itself as many times as indicated by the exponent. For example, 4^6 means multiplying 4 by itself 6 times.

Front

What is the result of the expression 7 x 5 + 5?

Back

The result is 40. First, calculate 7 x 5 = 35, then add 5 to get 40.