Simplify Numerical Expressions

​We must have a full understanding of our lesson from yesterday.

• ​Expressions

• ​Grouping symbols

• ​Using parentheses to represent multiplication

​We simplified expressions with one level of grouping, such as:

4+(12x3)

​

​

​We will simplify expressions with up to two levels of grouping.

​Examples:

​​3x(7+2)-(8+4)+2

​

​

​(10÷2)x(3+17)-75

​the order of operations are simply rules that say which calculation comes first in an expression. Especially when having multiple operations in the same expression.

​

​Example:

​

(10÷2)x(3+17)-75

• The very first step​ is to do everything in parentheses.

• Your'e smarter than you think!

1. Do everything in the parentheses.

2. ​Multiplication/Division from left to right (whichever comes first)

3. ​Addition/Subtraction from left to right (whichever comes first)

​P( )

​MD->

​AS->

​Let's get back to the lesson.

P( )

​MD->

​AS->

​20÷(20-15)x3

P( )

​MD->

​AS->

​4x(7+3)-5+10

​

P( )

​MD->

​AS->

​(7x4)-20+(16÷2) 

​Objective complete! Part III will include:

• ​Expressions with grouping symbols within grouping symbols​

​3x[7+2-(8-4)]+2

​

​3x(7+2-(8-4))+2