# Putting on Shoes and Socks

- Author:
- Jaime Dianzon, James Monaghan

- Topic:
- Addition, Division, Multiplication, Subtraction

## Which goes first: shoes or socks?

## OBJECTIVE: To learn how to perform chain operations on integers

In previous lessons, you learned how to add, subtract, multiply, and divide integers.

*Summing It Up:*https://www.geogebra.org/m/ryw5cfbm*Switching Directions:*https://www.geogebra.org/m/dkuqcztg*Getting Along:*https://www.geogebra.org/m/fcebgdr7 In this lesson, you're going to learn how to perform chain operations involving addition, subtraction, multiplication, division, exponents, and grouping symbols. A common mnemonic used in performing chain operations is PEMDAS, or its expanded form, Please Excuse My Dear Aunt Sally. The letters, in order, stand for Parentheses (or other grouping symbols), Exponents, Multiplication or Division (whichever comes first from left to right) and Addition or Subtraction (whichever comes first from left to right). For ease of reading, grouping symbols may be nested from innermost to outermost as follows: Parentheses, Brackets (square brackets), Braces (curly braces) as illustrated—{ [ ( ) ] }. Simplification begins with the innermost symbol. Examples: 27 - 36 ÷ 12 - 5 (2 - 7) = 27 - 36 ÷ 12 - 5 (-5) = 27 - 3 + 25 = 24 + 25 = 49 2 + 2 (10 - 7)^{2}÷ 5 • 1 (9 - 4) - 8 = 2 + 2 (3)^{2}÷ 5 • 1 (5) - 8 = 2 + 2 (9) ÷ 5 • 1 (5) - 8 = 2 + 18 ÷ 5 • 1 (5) - 8 = 2 + 3.6 • 1 (5) - 8 = 2 + 3.6 (5) - 8 = 2 + 18 - 8 = 20 - 8 = 12Use the applet below to practice performing chain operations involving addition, subtraction, multiplication, division, and parentheses. Exponents will be dealt with later.
Instructions:
Solve the problems on a separate sheet of paper first, and then click the box on the right for the correct answer.

## TRY IT ...

Below is a couple of problems involving chain operations with exponents.

## Chain Operations

## ANSWER BOX:

Check your answers below.

## In this lesson, you learned how to perform chain operations on integers.

In future lessons, you'll learn how to perform operations on rational numbers. Hope you had FUN today!