Question

4.0 x 25 = ?

Answer 1

Kidding right?

Answer 2

Nope

Answer 3

Give it a try, I'm sure you're gona get it wrong if you haven't studied significant figures yet..

Answer 4

4.0 x 25 = 100.
XD

Answer 5

or why not 100.0

Answer 6

4 is not same as 4.0

100 is not same as 100.
100. is not same as 100.0

Answer 7

yes i meant 100.0

Answer 8

actually it will be 100 . in multiplication 2 significant digits are lost. so 100.0 will not be the answer

Answer 9

The inputs 4.0 and 25 have two significant figures only,
so the result must also have exactly two significant figures right ?

Answer 10

yeah...

Answer 11

But 100.0 has four significant figures

Answer 12

\[4.0 \times 25 \ne 100.0\]

Answer 13

Bruh lol!
what then? No solution?!

Answer 14

I am stunned! Ganeshie8 is actually needing help...

Answer 15

No that's for fun question

Answer 16

I really don't know, haven't googled yet.. thought of posting it here before searching online..

Answer 17

WHAT?!

Answer 18

OMG see this! He actually needs help!

Answer 19

Wow
so you do looking for help
it is good to know :)

Answer 20

=10^2

Answer 21

Well I cannot help idk this stuff :(

Answer 22

i ve got it somewhere on internet on any math forum

Answer 23

You should be knowing this @NvidiaIntely as you're doing a lot of chemistry these days

Answer 24

Yeah ik that.
But I don't remember now...
Let me look it up lol

Answer 25

@ganeshie8 you think jhonyy is right?

Answer 26

I don't think so, 10^2 = 100 has only one significant figure, right ?

Answer 27

Check this out: https://www.youtube.com/watch?v=5UjwJ9PIUvE

Answer 28

I'm just here observing and learning

Answer 29

here is an example

Answer 30

@ganeshie8, I think this should help :)
https://www.youtube.com/watch?v=5UjwJ9PIUvE

Answer 31

quit playing we know 4.0 * 25 = 100

Answer 32

We do? Really?

Answer 33

Well, I would say we know it does NOT!

Answer 34

WAIT CAN I TRY?

Answer 35

Sure!

Answer 36

am pretty sure @ganeshie8 is trying to playing us lol
and yet he is doing well
100 is the same as 100.0

Answer 37

idk about that Will. He needs help.

Answer 38

@jango_IN_DTOWN Nice idea, so it can be rounded to 110 or something so that we get the significant figures correct ?

Answer 39

Ummm....maybe, I am not sure though...

Answer 40

@triciaal so disrespectful to sig figs haha

Answer 41

@dehydrated that's not the question tho
4.0 x 25 this is

Answer 42

rip i realized that

Answer 43

@ganeshie8, I just watched this https://www.youtube.com/watch?v=5UjwJ9PIUvE
I think it will help you alot :P

Answer 44

actually 110-140 , all are correct. but the best answer will be to use scientific notation:. 1.0 *10^2

Answer 45

1. 4.0*25
2. 100.0
3. 1.0E+2 (100) because there are 0 decimals and 2 figs

Answer 46

BINGO!
scientific notation does it !

Answer 47

hhhrrrmmmm.........

Answer 48

my neighbor helped lol

Answer 49

4.0 has two sig figs
25, we have no idea how many sig figs

Answer 50

i had scientific notation in ap bio and it was awful XD

Answer 51

If it was 25. then we would know two sig figs, but without it, we don't know

Answer 52

Wait @TheSmartOne. I thought 0 is not counted as a sig fig?

Answer 53

Just like 100. has three sigs figs

but 100 (without the .) is the same thing as 1 * 10^2 which has 1 sig fig or it could be said that it has 3 sig figs

so it's very ambiguous

Answer 54

Oh, okay TSO.

Answer 55

@TheSmartOne lives up to their name

Answer 56

interesting @TheSmartOne
it seems integers have infinity siginificant figures

Answer 57

The basic rules are:
If you add or subtract, one significant digit is lost
If you multiply or divide, two significant digits are lost.
If there is confusion, better give the final answer in scientific notation

Answer 58

Did anyone watch the video I linked?

Answer 59

I did watch it @NvidiaIntely, nice one
it is part of a 7 video tutorial on significant figures

Answer 60

yeah, it should help you :)

Answer 61

Did it help at all?

Answer 62

very funny.:)

Answer 63

From my chemistry book :

Counting numbers of objects, for example, 2 balls or 20 eggs, have infinite significant figures as these are exact numbers and can be represented by writing infinite number of zeros after placing a decimal i.e., 2 = 2.000000 or 20 = 20.000000

Answer 64

yeah, that's right.

Answer 65

I thought that the rules were
When you add or subtract, your final answer has the same amount of decimal spots as the number with the least precision

so
1.01 + 2.055 =

2.055
+1.01
-------
3.065

but 1.01 has only 2 digits after the decimal so our final answer is 3.07

I've heard of the rule that when you round, if the second last digit is odd, and you have 5 or higher you round
If the second digit is even, and you have 5 or higher, you do not round

However, my chem professor completely ignros this rules

The rule for multiplication/division is not like addition/subtraction

Multiplication/division is based on sig figs while addition/subtraction is based on precision

E.g.

1.5 * 3.51 = 5.26500

1.5 has 2 sig figs
3.51 has 3 sig figs

we need to use 2 since that's the least

which would make it 5.3

Answer 66

\(4.0 \times 25 = 1.0\times 10^2\)

Answer 67

Yes, I think scientific notation is the only correct answer @mathstudent55

Answer 68

lol I am confused like a Hyper Threaded CPU!

Answer 69

Maybe @mathstudent55 correct?
Should I bring more people here?

Answer 70

That video has an error... regarding rounding for 5... 'for example
3.25 correct upto 2 significant figures will be 3.2
but 3.251 correct upto 2 significant figures will be 3.3

Answer 71

You have good eyes @jango_IN_DTOWN . All through his 7 videos,
he increments if the right digit is 5,6,7,8,9 no matter whether the digit to the left of it is odd or even..

Answer 72

Thats not the rule used in numerical analysis, if 5 is the last non zero digit and the digit before is even, we keep it even, if it is odd, we make it even.. But if 5 has more digits after it, we have to round it upto the next value

Answer 73

That's right Jango, good for you!

Answer 74

That is what I thought, Jango, but when I tried explaining this to my chem lab professor she heartily disagreed with me. x:

Answer 75

Then show her any book of numerical analysis. :)..

Answer 76

lol

Answer 77

I updated my profile bio lol.

Answer 78

Anyways focus on helping @ganeshie8.

Answer 79

@NvidiaIntely mass tagging slows down the server, please don't do it

Answer 80

Okay

Answer 81

@jiteshmeghwal9

Answer 82

@ganeshie8 LOOK AT THIS!!! Here's the rules for sig figs:

1. All non-zero digits in a number are significant.


2. Multiplication/Division: The number of significant figures cannot exceed the number of significant figures in the least accurate measurement. So, count the number of significant digits in each measurement, then round the final answer to the lowest number of significant digits in the problem.

3. Additional/Subtraction: During the calculation, line up the decimal places and complete the computation. Then round the answer to the decimal place in the least accurate measurement.

Look at the attachment for zeros:

Answer 83

Thank you @V-Sync , that table covers all the rules in a compact way !

Answer 84

So you done with this @ganeshie8?
Did you get your answer?
Why did everyone freeze?

Answer 85

YW @ganeshie8

And actually thank you for thanking me! WOW!! I got a Thank You from @ganeshie8 himself!!! :D :D :D :D :D

Answer 86

100?

Answer 87

This isn't a discussion about multiplication, but rather about significant figures.