Question

Perform the operation; (3.9 -(3)^2) divide (8.3 -8)x4+(-1)

Answer 1

you need to follow order of operation, PEMDAS

Please Excuse My Dear Aunt Sally:
v Highest Priority
P arentheses
E xponents
M ultiplication and
D ivision,
A ddition and
S ubtraction
^ Lowest Priority

Answer 2

i know can you solve it

Answer 3

part of the problem is:
-(3)^2

you want to try ?

Answer 4

what does it simplify to

Answer 5

-(3)^2

Answer 6

can you just do it in steps

Answer 7

yes:

-(3)^2

the exponent is linked to the parentheses, so it is linked to the number in parentheses
the number in parentheses is "3" only, so we get after doing the exponent:

with (3)^2 = 9:
- 9

Answer 8

yes

Answer 9

I've started with the left parentheses and looked for any parentheses, and the (3)^2 was the last remaining one on this "level"

(3.9 -(3)^2) divide (8.3 -8)x4+(-1)

became

(3.9 - 9 ) divide (8.3 -8)x4+(-1)

Answer 10

now there is no longer a parentheses inside of another parentheses,
so the next step is to follow order of operations in each of the remaining par.

Answer 11

(3.9 - 9 ) divide (8.3 -8)x4+(-1)

we got three of them:
1. (3.9 - 9)
2. (8.3 - 8)
3. (-1)

Answer 12

3.9 - 9

so that is like 3.0 - 9 = -6+0.9 = -5.1

Answer 13

i first subtract 9 and then add back .9

Answer 14

ok

Answer 15

ok, next one is
(8.3 - 8)

is easier, that will be 0.3 right? :)

Answer 16

yes

Answer 17

finally
3. (-1)

is just -1

we get

Answer 18

(-5.1 ) divide (0.3)x4+-1

Answer 19

also, 3+-2 is the same as 3-2

(-5.1 ) divide (0.3)x4-1

Answer 20

I believe this is the denominator in the original problem:
(8.3 -8)x4+(-1)

it makes a difference for the +1 term, if the addition is
part of the denominator, then there is like an invisible
parentheses that is around the entire denominator

Answer 21

The problem was like this?
\[\frac{ (3.9 -(3)^2) }{ (8.3 -8)x4+(-1) }\]

Answer 22

yes

Answer 23

ok, so if there is an addition in denominator
thats the same like parentheses around the denominator

this is equivalent:
\[(3.9 -(3)^2) \div [(8.3 -8)x4+(-1)]\]

Answer 24

that means we must first simplify the denominator completely
before dividing

Answer 25

last result was:
(-5.1 ) divide (0.3)x4-1

with fraction:\[\frac{ (-5.1 ) }{ (0.3)x4-1 }\]

Answer 26

next task: simplify [(0.3)x4-1]

Answer 27

multiplication comes before subtraction,

0.3 x 4 = 1.2

Answer 28

result [1.2-1]

Answer 29

further simlify:

1.2 - 1 = 0.2

Answer 30

this gives
\[\frac{ (-5.1 ) }{ 0.2 }\]

Answer 31

it has to be -69

Answer 32

we have made an error.... this one gets to -25,5

Answer 33

(3.9 -(3)^2) divide (8.3 -8)x4+(-1)

Answer 34

so what is the right answer

Answer 35

(3.9 -9) divide (8.3 -8)x4+(-1)
(-5.1) divide (0.3)x4+(-1)
(-5.1) divide 1.2+(-1)
(-5.1) divide 0.2
=-25.5

Answer 36

ok thanks
can u help me with one more

Answer 37

yes

Answer 38

7/12, 1 5/8 and 4 5/6
Find the average

Answer 39

average is adding all of them then dividing through count of values

Answer 40

to add them they need a common denominator

Answer 41

LCF: 12, 8, 6

Answer 42

7/12, 1 5/8 and 4 5/6

Answer 43

we could make denominator a 24

Answer 44

7/12, 1 5/8 and 4 5/6
will become

14/24, 1 15/24 and 4 20/24

Answer 45

i extended first fractoin with 2 (2x12=24), second fraction with 3 (8x3=24) and third fraction with 4 (6x4=24)
then they all have the same denominator

Answer 46

ok yea i got it

Answer 47

1 15/24 is the same as
24/24 + 15/24

39/24

Answer 48

14/24 + 39/24+ "4" 20/24

4 is the same as 4*24/24 or 96/24

Answer 49

14/24 + 39/24+ 96/24+20/24

Answer 50

=14/24 + 39/24+ 106/24+10/24
=14/24 + 39/24+ 116/24

Answer 51

14+16 = 20+10 = 30
so
14/24 + 116/24 = 130/24

Answer 52

total value of all values:
39/24 + 130/24

Answer 53

39/24 + 130/24
=
9/24 + 160/24
=
169/24

Answer 54

that is the total value, to get average divide by count of values
whats the count of values in our example?

Answer 55

i was supposed to get 2 25/72

Answer 56

72 is three times 24

Answer 57

ill try again

7/12, 1 5/8 and 4 5/6

Answer 58

14/24, 13/8 and 29/6

Answer 59

14/24, 39/24 and 116/24

Answer 60

169/24

Answer 61

then a third of that

Answer 62

either we divide the numerator by three

or we multiply the denominator with three, has the same effect

Answer 63

since we can not evenly divide 169 by 3 (result: 56,333333) maybe its better to multiply the denominator then

Answer 64

169/72

Answer 65

is a third of the total value, three because three values

Answer 66

169/72 can be simplified since 169 is more than 72

Answer 67

it is two times 72 and then some

2x72 = 144

Answer 68

so we have 2 REST/72

the rest is 169-144(the whole 2) = 25

Answer 69

so

2 25/72

Answer 70

they got this result by multiplying the denominator when we had to divide the fraction by three :)

divide value of fraction by three
is the same as
multiplying its denominator by three

Answer 71

what about this one: 10 - 4 5/8

Answer 72

the first one is a number and the second one number + fraction

Answer 73

4 5/8

means it has 4 times a fully 8/8 fraction
then also a 5/8 fraction:

4 5/8 is
8/8 + 8/8 + 8/8 + 8/8 + 5/8

Answer 74

so, it is 32/8 + 5/8 = 37/8

Answer 75

10 is the same as 10/1 and that can be extended by 8 up and down:

\[10 = \frac{ 10 }{ 1 }\]\[\frac{ 10 \times 8 }{ 1 \times 8 } = \frac{ 80 }{ ? }\]

Answer 76

\[= \frac{ 80 }{ 8 }\]

Answer 77

if they have the same denominator, we can add/subtract fractions

Answer 78

\[\frac{ 80 }{ 8 } - \frac{ 37 }{ 8 }\]

Answer 79

this is equivalent to
10 - 4 5/8

Answer 80

\[\frac{ 80 }{ 8 } - \frac{ 37 }{ 8 }\] is equivalent to the problem 10- 4 5/8

Answer 81

ok thanks

Answer 82

no problem