Thursday, November 23, 2023

figure it out (PEMDAS)

Remember PEMDAS from math class? Please Excuse My Dear Aunt Sally? It was a mnemonic for remembering the order of operations in a simple or complicated math problem: parentheses, exponents, multiplication, division (these two from left to right, so it could be division-multiplication), addition, subtraction (also left to right). The video below requires you to remember that order. Can you solve the problem? My answer will be between the brackets. Highlight to see.

We are given the following problem:

Solution:

[Start by noting that 12 = 1. Next, divide 7/8 and 9/8 to get 7/9. Multiply 7/9 by 27/7 to get 27/9, or 3. Inside the parentheses, you now have (5/6 + 3 - 1). That's 17/6. Note that, outside the parentheses, 12/34 reduces to 6/17. Note, now, that 6/17 and 17/6 are reciprocals of each other, so when you multiply them together, you get 1. QED.]



No comments: