Transcript Grouping Symbols - Algebra 1 -

– ALGEBRA I –
Section 1-2
Grouping Symbols
Grouping
symbols…
Too much
fun…
– ALGEBRA I –
UNIT 1 – Section 1
Grouping Symbols
In this section, we will be looking more closely at…
• grouping symbols
And we’ll be reviewing…
• order of operations
• simplifying
• evaluating
GROUPING SYMBOLS
What are grouping symbols?
A grouping symbol is used to enclose an
expression in order to indicate that that part
of the problem should be done first.
Common examples of grouping symbols are…
parenthese s brackets  squigglies 
In addition to doing the job of grouping expressions,
these symbols also indicate multiplication if
numbers/variables are side-by-side.
GROUPING SYMBOLS
What are grouping symbols?
A grouping symbol is used to enclose an
expression in order to indicate that that part
of the problem should be done first.
Many other symbols also act as grouping symbols, but the
operation they stand for are the first things that people
think of. For example…
fraction
bar
absolute value
square root
OTHER SYMBOLS
We’re going to take the chance to
review some other symbols that
are commonly used.
MULTIPLICATION
We’ll play
a quick
game to
review…
Where’s Mr. Dillon? On the next slide,
decide which four symbols indicate
multiplication. Then, advance the slide
show to see if you are correct…
OTHER SYMBOLS
MULTIPLICATION
×

 μ ÷
  2a
OTHER SYMBOLS
Nice work. Let’s try again… Only
this time let’s look at symbols
for…
DIVISION
Where’s Mr. Dillon? On the next slide,
decide which three symbols indicate
division. Then, advance the slide show
to see if you are correct…
OTHER SYMBOLS
DIVISION
Fraction
Bar


%

÷
<
ORDER OF OPERATIONS
How do grouping symbols fit into
order of operations?
Let’s edit our current list…
ORDER OF OPERATIONS
The steps in order of operations are:
1) Parentheses (Grouping Symbols)
• If there are grouping symbols inside of other grouping
symbols, do the innermost ones first.
• If you are working inside of grouping symbols, follow
the remaining steps in order of operations in order.
2) Exponents/Roots
3) Multiply/Divide (Left to Right)
4) Add/Subtract (Left to Right)
ORDER OF OPERATIONS
6  52  7
2
Start with innermost parentheses
6  59
2
6  45
2
Simplify the power.
36  45
Add
Work your
way outward
81
Try These Problems…
Gives these problems a try.
Carefully use order of operations
to get your answer. Be sure to
show your work!


1) 3 2  45  10  6
3
2  5(7)
2)
36  5  29
2
**The answers can be found
at the end of the PowerPoint.
Try These Problems…
Gives these “evaluate” problems a
try. Substitute the numbers in for
the variables and simplify. Be sure
to show your work!


3) 4 x  y if x  3 and y  2
3
yz
4)
if y  8 and z  4
yz
2
**The answers can be found at the end of the PowerPoint.
ALGEBRA
IS FUN
AND EASY!
**Answers: 1) 24
2) 13
3) 28
4) 18