So we got to evaluate:
To calculate this multiplication, we can first consider the numbers without the decimal digits:
Doing this multiplication, we got to:
Now, we count how many decimal places there ir in the initial numbers. We have 3 decimal places in 27.345 and also 3 decimal places in 4.335.
So we have a total of 6 decimal places. To get the result, we put the 6 rightmost digits in decimal places, so we get:
That is the result.
One way of checking it is by firts adding the digits of each number.
So we have 27345, the digits add to:
Since we still have 2 digits, we add them up:
Now, we do the same for 4335:
Now, we multiply this reduced numbers, 3 and 6:
And reduce it:
To check the result, 118540575, we do the same with it and compare:
So we also got to 9. This way, the result is probably right. This is a way of checking the result of a multiplication.