Order of Operations with Rational Numbers

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 PEMDAS stand for?

Back

PEMDAS stands for: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

Calculate: 3 + 5 × 2

Back

According to the Order of Operations, first multiply: 5 × 2 = 10, then add: 3 + 10 = 13.

Front

Calculate: (4 + 6) × 2

Back

First, solve the parentheses: 4 + 6 = 10, then multiply: 10 × 2 = 20.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

Is 0.75 a rational number?

Back

Yes, 0.75 is a rational number because it can be expressed as 75/100 or 3/4.

Front

Calculate: 8 - (3 + 2) × 2

Back

First, solve the parentheses: 3 + 2 = 5, then multiply: 5 × 2 = 10, finally subtract: 8 - 10 = -2.

Front

What is the result of 2 + 3 × (4 - 1)?

Back

First, solve the parentheses: 4 - 1 = 3, then multiply: 3 × 3 = 9, finally add: 2 + 9 = 11.

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, you should calculate multiplication first before adding any numbers.

Front

Calculate: 6 ÷ 2 + 3 × 4

Back

First, divide: 6 ÷ 2 = 3, then multiply: 3 × 4 = 12, finally add: 3 + 12 = 15.