An Intro to Order of Operations | Math with Mr. J

The video introduces the order of operations as a set of rules used to solve problems with multiple calculations correctly. It highlights the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

The first example demonstrates the order of operations without parentheses or exponents. It starts with multiplication (3 * 6 = 18) and then proceeds to addition (8 + 18 = 26), following the PEMDAS rules.

The second example emphasizes solving operations within parentheses first (11 - 5 = 6). After resolving the parentheses, the problem simplifies to division (18 / 6 = 3).

The third example involves parentheses, multiplication, and subtraction. It begins by solving the parentheses (13 + 8 = 21), then performs multiplication (7 * 4 = 28), and finally completes the subtraction (28 - 21 = 7).

The final example features an exponent (4^2 = 16), followed by subtraction and addition. This example illustrates the crucial rule for operations on the same level (multiplication/division, or addition/subtraction): solve from left to right. Thus, 16 - 6 is done first (10), then 10 + 23 equals 33.