Question

It’s an essay with five point explain how to use an estimation to help find the product of two decimals give an example with both estimated an actual answers it is in math

Answer 1

In mathematics, estimation means approximating a quantity to the required accuracy. This is obtained by rounding off the numbers involved in the calculation and getting a quick and rough answer.

To approximate numbers,

We can give the following examples

Example 1

`8.9*2.1`

We can approximate the numbers as follow

`\begin{gathered} \text{For 8.9} \\ we\text{ will round 9 up to give 1} \\ \text{This is then added to 8 to give 9} \\ \text{Thus} \\ 8.9\cong9 \end{gathered}`

Similarly,

`\begin{gathered} 2.1 \\ we\text{ will round down 1 to 0} \\ So\text{ that 2.1}\cong2 \end{gathered}`

Thus, we will have

`8.9*2.1\cong9*2=18`

Therefore, the approximated value is 18

The actual answer is

`8.9*2.1=18.69`

We can look at another example

`11.23*36.06`

Thus

`\begin{gathered} 11*36=396 \\ \end{gathered}`

The actual answer is

`11.23*36.06=404.95`

In both cases, we can see that the approximated values and the actual values are not so far from each other.