Solve the problem, expressing your answer using the correct number of significant.
75.6*12.33

- anonymous

Solve the problem, expressing your answer using the correct number of significant.
75.6*12.33

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- anonymous

75.6 x 12.33 = 932.148
I hope this helps but im not exactly sure

- anonymous

assuming the math in the above post is right, the final answer is 932, as you should use 3 significant figures for the final answer

- anonymous

i just need to multiply them?

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## More answers

- anonymous

yes, multiply them...the number of significant figures in the final answer will be the same as the number of significant figures in the least precise term (the term with the fewest significant figures)

- anonymous

75.6 has 3, 12.33 has 4, so final answer has 3 significant figures

- anonymous

okay so for this one 31.5+124.6-23.199
equals= 132.901?

- anonymous

how do i find the significant fig?

- anonymous

31.5 has 3, 124.6 has 4, 23.199 has 5
significant figures are non-zero digits and also zeros between non-zero digits

- anonymous

okay, if it equals 132.901?

- anonymous

is it 3 significant fig?

- anonymous

im sorry, i was wrong earlier. you're looking for the decimal places, not significant figures. so in the first answer you'd want 1 decimal place, second answer you'd also want 1 decimal place

- anonymous

wait im so lost now :( lol

- anonymous

ok i lost you even further because i was right in the first one

- anonymous

whaaaaaaat! lol

- anonymous

in multiplication, you want the same number of significant digits. in addition, you want the same number of decimal places

- anonymous

wait, we're doing significant figures right? lol

- anonymous

yes, in multiplication, the answer has the same number of significant figures as the least accurate measure. in addition, answer has same number of decimal places, not significant figures

- anonymous

im sooooooo lost lmfao, but okay :l

- anonymous

so it equals 132.901 then what do i do?

- anonymous

so 75.6*12.33, answer has 3 significant figures
31.5+124.6-23.199, answer has 1 **decimal place**

- anonymous

but i do have to add & subtract it right?

- anonymous

of course

- anonymous

so it stays as 132.901?

- anonymous

you only want 1 decimal place, so 132.9

- anonymous

http://www.wellesley.edu/Astronomy/kmcleod/Toolkit/sigfigs.html

- anonymous

i dont understand this :|

- anonymous

you don't understand significant figures in general or how to determine how many a product or result of addition have?

- anonymous

how to determine how many a product or result of addiction have!!!!!

- anonymous

:(

- anonymous

75.6*12.33
how many significant figures are in 75.6 and 12.33?

- anonymous

75.6 has 3 and 12.33 has 4 right?

- anonymous

right

- anonymous

so, in multiplication, the answer has to have the same number of SF as the term with the least number of SF

- anonymous

because 3 is less than 4, answer has 3 SF

- anonymous

okay, what about for adding & subtracting?

- anonymous

ignore the SF, count the decimal places

- anonymous

so the one with the least decimals?

- anonymous

right

- anonymous

so it will be one decimal right?

- anonymous

yes

- anonymous

okay so if the answer was 132.901 how do i know which number to take out?

- anonymous

how many decimal places do you need?

- anonymous

1?

- anonymous

how many do you have?

- anonymous

3

- anonymous

?????

- anonymous

yes, so what do you do?

- anonymous

lol, i dont know what to do :( lmfao
i would say just subract 1 and take off 2? lol

- anonymous

you round to the nearest tenth
132.901 is approximately 132.9

- anonymous

if your answer was 132.999, you'd round to 133.0

- anonymous

OHHHHHHHHHHHHHHH! lol lol

- anonymous

assuming you wanted 1 decimal place

- anonymous

GOT IT! okay can you help me with another? ima try to do it first and tell me if im right or wrong?

- anonymous

ok

- anonymous

wait what about when dividing?

- anonymous

o:

- anonymous

dividing is the same as multiplying by the reciprocal, so same rules

- anonymous

okay so for
2+4.5+23.52

- anonymous

2=1
4.5=2
23.52=4
right?

- anonymous

so i have to go for the one that has the least SF, which is one correct? o:

- anonymous

yeah, thats how many SF each has, but you ignore SF for addition/subtraction

- anonymous

omg what? lol ima get lost again :(
well i got 30.02 o:

- anonymous

how many decimal places does 2 have?

- anonymous

2?

- anonymous

the number 2?

- anonymous

it has no decimal places

- anonymous

omg this is sooo confusing!!! lmfao
what do you mean it doesnt?

- anonymous

EXPLAIN PLZ

- anonymous

a decimal place isn't the same thing as a significant figure
for example the number 50.24589 has 7 significant figures, but 5 decimal places

- anonymous

5 decimals becuz its after the decimal right?

- anonymous

yeah, there is no decimal in the number 2, so there are no decimal places

- anonymous

so if using it in addition accounting for SF, your answer should have no decimal places

- anonymous

wait thats where im confused, because you said 50.24589 has 5 decimal places
but for 30.02, doesnt it have 2 decimal places?

- anonymous

yes, i was using that number as an example

- anonymous

i know, omg im getting really confused! okay 50.245989 right? why does it have 5 decimal places? bceuz after the decimal it has 5 number right?

- anonymous

yes

- anonymous

okay so for 30.02, after the decimal it has 2 numbers doesnt it? thats where im gettng confused

- anonymous

yes it has 2, that is the answer to the addition you wanted, but you have to get rid of the decimal places by rounding to the nearest whole number because you don't want any decimal places in your answer

- anonymous

okay, so it will be just 30? o:

- anonymous

right

- anonymous

so then it will have 2 SF?

- anonymous

SF don't matter in additon, remember

- anonymous

ugh i wont remember this lol

- anonymous

help me some more? lol

- anonymous

ok

- anonymous

thank you very much!

- anonymous

99.9/12.23

- anonymous

99.9 = 3
12.23= 4

- anonymous

yep

- anonymous

= 8.1684........

- anonymous

how do i do this one?

- anonymous

you want 3 SF, so you round to the nearest hundredth

- anonymous

how do i know what to round to? like if im suppose to round to the tens hund, thous?

- anonymous

for multiplication, you count, starting from the left,the digits, and stop and stop at the 3rd one in this case because you want 3 SF, you round that number

- anonymous

- anonymous

hmm okay, so i round 8.168?

- anonymous

so it will be 8.17?

- anonymous

yes, you round the 6 up to 7 because the next digit is greater than 5

- anonymous

so 8.17 is my answer right?

- anonymous

greater than or equal to 5, that is

- anonymous

yes, 8.17

- anonymous

YAY!! okay here another
9.01*12

- anonymous

so its gonna be only 2 SF

- anonymous

yes

- anonymous

=108.12

- anonymous

so then? lol the part where i get confused.
does it stay as 108?

- anonymous

here's a hint for this one: you must use scientific notation for your answer in order to round it correctly

- anonymous

the answer is not 108 because that has 3 SF

- anonymous

omg super confused now :(

- anonymous

the answer has to only have 2?

- anonymous

well you don't have to use scientific notation here i suppose, but you can

- anonymous

correct answer is 110, this has 2 SF

- anonymous

omg i was gonna say that, i really was! but i thought i was gonna be wrong!

- anonymous

good, then you are starting to understand

- anonymous

just a little lol, so last one
0.00043/2.04

- anonymous

0.00043 = 2
2.04= 3

- anonymous

i round the answer to hundredths?

- anonymous

no, what did you get for your answer?

- anonymous

if you round to nearest hundredth, you'd get 0.00

- anonymous

i got 0.0021.....

- anonymous

0.00043/2.04 is about .0002108

- anonymous

and what do i do after? o:

- anonymous

whats the 2nd SF?

- anonymous

one has 2sf & the other has 3sf

- anonymous

but whats the 2nd sf in .0002108

- anonymous

from left to right? or right to left?
left to right is 1?
right to left is 0 o:

- anonymous

always from left to right

- anonymous

so you round the 1

- anonymous

so .0002108 round the one to the zero?

- anonymous

.00021?

- anonymous

round the 1 using the 0 to round, yes .00021

- anonymous

YAY!!!

- anonymous

thannk you very much!

- anonymous

yw

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