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 PEMDAS stand for?

Back

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

Front

What is the first step in solving the expression 3 + 4 x 6 - 4?

Back

The first step is to perform multiplication, so you would calculate 4 x 6 first.

Front

How do you simplify the expression (16.5 ÷ 2) + 8?

Back

First, divide 16.5 by 2 to get 8.25, then add 8 to get 16.25.

Front

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

Back

First, calculate 4 x 8 to get 32, then calculate 9 + 7 to get 16. Finally, subtract 16 from 32 to get 16.

Front

How do you solve the expression 3(4.8) - 2(1.03)?

Back

First, calculate 3 x 4.8 to get 14.4, then calculate 2 x 1.03 to get 2.06. Finally, subtract 2.06 from 14.4 to get 12.34.

Front

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

Back

First, calculate the expression inside the parentheses: 3.4 + 2.15 = 5.55. Then multiply by 2 to get 11.1. Finally, add 16 to get 27.1.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, helping to clarify the order of operations.

Front

What is the difference between multiplication and addition in the context of order of operations?

Back

In the order of operations, multiplication is performed before addition, meaning that in an expression, you should calculate multiplication results before adding any numbers.

Front

How do you handle division in the order of operations?

Back

Division is treated the same as multiplication; both operations are performed from left to right as they appear in the expression.