Question

Writing about Finding a Percen Explain how to find 27% of 16 using multiplication by a decimal. Then explain how to use estimation to check your answer.

Answer 1

To find 27% of 16 using multiplication by a decimal, we can proceed as follows:

First, convert the number 27 in decimal:

`16\cdot(27)/(100)=16\cdot0.27=4.32`

A way to estimate the possible value, we can multiply the number 16 by the nearest tenth, that is, 0.3. We know that the possible value is a little greater than the actual value.

We can do this in the following way:

`16\cdot(30)/(100)=(48)/(100)=4.8`

Then, after the estimation, we can say that the value must be less than 4.8. Multiplying by 3 or 30 is easier than by 27. This is a way to check the answer.

We can also say that if we multiply 16 by 3 is 48 (equivalently to 4.8, after doing the correct operations), and this is a quick value to know, that, approximately 4.32 is 27% of 16.