Question

solve and check$27.345 \times 4.335$

Answer 1

So we got to evaluate:

$27.345\times4.335$

To calculate this multiplication, we can first consider the numbers without the decimal digits:

$27345\times4335$

Doing this multiplication, we got to:

$27345\times4335=118540575$

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:

$118.540575$

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:

$2+7+3+4+5=21$

Since we still have 2 digits, we add them up:

$2+1=3$

Now, we do the same for 4335:

$4+3+3+5=15$$1+5=6$

Now, we multiply this reduced numbers, 3 and 6:

$3\cdot6=18$

And reduce it:

$1+8=9$

To check the result, 118540575, we do the same with it and compare:

$1+1+8+5+4+0+5+7+5=36$$3+6=9$

So we also got to 9. This way, the result is probably right. This is a way of checking the result of a multiplication.