Question

Estimate each quotient using compatible numbers 5,564 divided by 91

Answer 1

By definition, Compatible Numbers are those numbers that are closed to the original number and they are used to solve mathematical operations mentally.

In this case, you have the following Division:

`5,564/91`

Therefore, analyzing the numbers, you can identify that the Dividend is:

`5,564`

And the Divisor is:

`91`

Notice that the Divisor is closed to 100. Then, you can set up that:

`91\approx100`

Looking at the Dividend, you can identify that:

`556\approx600`

The number 600 is closed to the number 556 (formed by the first three digits of the Dividend).

Notice that 600 and 100 can be divided evenly.

Knowing the explained above, you can set up that:

`\begin{gathered} 5,564\approx6,000 \\ 91\approx100 \end{gathered}`

Therefore:

`6,000/100=60`

Then, the answer is:

`\approx60`