Question

1//3 x 3.14 x 16^2 x 10

Answer 1

`2679(7)/(15)`

Explanation:

`(1)/(3)* 3.14* 16^2 * 10`

First thing we need to do is to evaluate 16^2.

`16^2 = 16* 16 =256`

Now, because multiplication is an associative and communitative property, the order that we multiply won't matter. I will rearrange terms to multiply in a more easier way, left to right.

`(1)/(3)* 10* 256* 3.14`

Lets multiply the fraction first. Multiply across, divide 10 by 3. 3R1 gives us:

`3(1)/(3) * 256 * 3.14`

Now lets multiply 256. Same method as before.

`853(1)/(3)* 3.14`

Now, finally, the decimal. Lets convert it to a fraction.

`3.14=(314)/(100)`

Now, replace the decimal in the expression.

`853(1)/(3)* (314)/(100)`

Same method as before. Through rigorous simplifying, we get:

`2679(7)/(15)`