exponents and parentheses

exponents and parentheses

exponents

exponents are the little numbers or letters above a letter or number, as in  $a^x\ or\ 3^4$  

exponents are the number of times you multiply the base by, as in

 $3^4=\left(3\right)\left(3\right)\left(3\right)\left(3\right)$  OR  $x^3=x\times x\times x=\left(x\right)\left(x\right)\left(x\right)$  

parentheses are grouping symbols

everything inside the parentheses is worked on together, not by stuff outside of the parentheses.

(2+4+3)=9      (2*4+3)=(8+3)=11

remember PEMDAS OR GEMDAS

Parentheses, then exponents, then multiplication or division, (whichever is 1st) the addition and subtraction (whichever is 1st) or

Grouping, then exponents, then multiplication or division, (whichever is 1st) the addition and subtraction (whichever is 1st)

order of operations

3+4*2 = 3+8=11 since you multiply before you add

3*4+2 = 12+2=14 since you multiply before you add

Multiple Choice

so what is 3+4+2*5

• 9*5=45

• 7+10=17

• 12*10=120

 $3+4\times10\div2=$  

left to right multiply first ( before you add) and get
3+40 divided by 2= $3+40\div2$  divide before you add, 
then $3+20$  =23

find the value

 $20\div4+17\times\left(9-6\right)$  =
 $20\div4+17\times\left(3\right)$  
 $5+17\times3$  
 $5+51$  
56

 $3\times6^2+4$  

pemdas 1st exponents,  $3\times36+4$  
then multiply  $108+4$  
=112

 $3+4^2+\left(6-3\right)^2\div9$  

P(arentheses )  $3+4^2-3^2\div9$  
exponents  $3+16-9\div9$  
division  $3+16-1$  
then add subtract 3+16=19 and 19-1=18