Week+10

=Pre/Alg 1st Period=

1st Quarter Survey
Please answer the questions below.

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**__10/22__**

Operations
//**"Operations"**// means things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation. But, when you see something like ... 7 + (6 × 52 + 3) ... what part should you calculate first?

Start at the left and go to the right? Or go from right to left? //Warning: Calculate them in the wrong order, and you will get a wrong answer !// So, long ago people agreed to follow rules when doing calculations, and they are:

Order of Operations
 **Do things in Parentheses First.** Example:  **[|Exponents] (Powers, Roots) before Multiply, Divide, Add or Subtract**. Example:  **Multiply or Divide before you Add or Subtract**. Example:  **Otherwise just go left to right**. Example:
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 6 × (5 + 3) ||   || 6 × 8 ||   || **48** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 6 × (5 + 3) ||   || 30 + 3 ||   || 33 || (wrong) ||
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 5 × 22 ||   || 5 × 4 ||   || **20** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 5 × 22 ||   || 10 2 ||   || 100 || (wrong) ||
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 2 + 5 × 3 ||   || 2 + 15 ||   || **17** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 2 + 5 × 3 ||   || 7 × 3 ||   || 21 || (wrong) ||
 * [[image:http://www.mathsisfun.com/worksheets/images/yes.gif width="16" height="16" caption="yes"]] ||  || 30 ÷ 5 × 3 ||   || 6 × 3 ||   || **18** ||   ||
 * [[image:http://www.mathsisfun.com/worksheets/images/no.gif width="16" height="16" caption="no"]] ||  || 30 ÷ 5 × 3 ||   || 30 ÷ 15 ||   || 2 || (wrong) ||

How Do I Remember It All ... ? PEMDAS !

 * **P** || **P**arentheses first ||
 * **E** || **E**xponents (ie Powers and Square Roots, etc.) ||
 * **MD** || **M**ultiplication and **D**ivision (left-to-right) ||
 * **AS** || **A**ddition and **S**ubtraction (left-to-right) ||
 * **AS** || **A**ddition and **S**ubtraction (left-to-right) ||

 Divide and Multiply rank equally (and go left to right). Add and Subtract rank equally (and go left to right) Then go from left to right doing any "A" //**or**// "S" as you find them. ||
 * [[image:http://www.mathsisfun.com/images/pemdas.gif width="150" height="109"]] ||  || After you have done "P" and "E", just go from left to right doing any "M" //**or**// "D" as you find them.

//Note: in the UK they say [|BODMAS] (Brackets,Orders,Divide,Multiply,Add,Subtract), and in Canada they say BEDMAS (Brackets,Exponents,Divide,Multiply,Add,Subtract). It all means the same thing! It doesn't really matter how you remember it, just so long as you get it right.//
 * [[image:http://www.mathsisfun.com/images/style/thought-sm.gif width="45" height="45"]] || You can remember by saying "**P**lease **E**xcuse **M**y **D**ear **A**unt **S**ally". ||

Examples
 Example: How do you work out **3 + 6 × 2** ? First **6 × 2 = 12**, then **3 + 12 = 15**  Example: How do you work out **(3 + 6) × 2** ? First **(3 + 6) = 9**, then **9 × 2 = 18**  Example: How do you work out **12 / 6 × 3 / 2** ? First **12 / 6 = 2**, then **2 × 3 = 6**, then **6 / 2 = 3** <span style="font-family: Verdana,Tahoma,Arial,sans-serif;">Oh, yes, and what about **7 + (6 × 52 + 3)** ?
 * M**ultiplication before **A**ddition:
 * P**arentheses first:
 * M**ultiplication and **D**ivision rank equally, so just go left to right:
 * 7 + (6 × 52 + 3) ||  ||
 * 7 + (6 × 25 + 3) || Start inside //Parentheses//, and then use //Exponents// First ||
 * 7 + (150 + 3) || Then //Multiply// ||
 * 7 + (153) || Then //Add// ||
 * 7 + 153 || //Parentheses// completed, last operation is an //Add// ||
 * **160** || DONE ! ||

Do questions 1-10

Worksheet #4a



Watch Video at home and take notes in a google doc. Please share with me your notes. Be prepared to do similar problems in class. media type="file" key="More%20Complicated%20Order%20of%20Operations%20Example-1.mp4" width="300" height="300"

__** 10/24 **__

Work Sheet #4



**__10/26__**

Place Value Game

Please show me a when you complete the game.