Order of Operations with Rational Numbers

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 the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you simplify an expression with parentheses?

Back

To simplify 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 result of dividing a decimal by a whole number?

Back

Dividing a decimal by a whole number involves moving the decimal point in the dividend (the decimal number) to the left as needed to perform the division.

Front

How do you handle addition and subtraction in a mathematical expression?

Back

Addition and subtraction are performed from left to right in the order they appear in the expression, after any multiplication or division has been completed.

Front

What is the result of the expression (16.5 ÷ 2) + 8?

Back

The result is 16.25.

Front

How do you evaluate an expression with multiple operations?

Back

To evaluate an expression with multiple operations, follow the Order of Operations: first solve any operations in parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Front

What is the value of the expression 16 + 2(3.4 + 2.15)?

Back

The value of the expression is 27.1.

Front

How do you solve an expression that includes multiplication and addition?

Back

To solve an expression that includes multiplication and addition, perform the multiplication first, then add the result to any other numbers in the expression.

Front

What is the result of the expression (4 x 8) - (9 + 7)?

Back

The result is 16.