Question

Do the following problem using significant figures.
4.5 cm x 2000.0 cm x 4 cm =
I
cm^3

Answer 1

Given :

Measurements $4.5\ cm\times 2000.0\ cm\times 4\ cm$ .

To Find :

The multiplication using significant figures .

Solution :

We know , the least number of significant figures in any number of the problem determines the number  of significant figures in the answer.

So , significant figure( S.F) in 4.5 cm is 2 .

S.F in 2000.0 cm is 5 .

S.F in 4 cm is 1 .

So , minimum S.F is 1 .

Therefore , S.F of their product is 1 .

Now , multiplying them we will get :

$M=4.5\times 2000.0\times 4 \ cm^3\\\\M=36000\ cm^3$

Now , converting 36000 in 1 significant digit .

First we will write it in exponential 2 S.F form.

$3.6\times 10^4 \ cm^3$

Now , to convert 3.6 into 1 S.F we should round off this .

So , round off 3.6 we will get 4 .

Therefore , The multiplication using significant figures is $4\times 10^4\ cm^3$ .

Hence , this is the required solution .