explain why it can be better to use compatible numbers to estimate rather than

rounding.

http://www.rpdp.net/mathdictionary/english/vmd/full/c/compatiblenumbers.htm

IDK the answer plz post some! asap

Using compatible numbers to estimate is often better than simple rounding because it provides a more accurate and reliable approximation. When we estimate, we want to quickly determine a value that is close to the actual value without going through the whole process of precise calculations.

Rounding involves simplifying a number to a nearby whole number or a certain decimal place. While rounding is useful for quickly getting a rough idea, it can introduce significant errors in some cases. In contrast, using compatible numbers allows for more meaningful approximations by selecting numbers that are easier to work with and closely related to the original values.

To use compatible numbers, you find numbers that are close to the original values and that make the calculation easier. For example, if you are estimating the sum of 278 and 601 using rounding, you would round 278 to 300 and 601 to 600. The estimated sum would be 900, which is a considerable 23 units away from the actual sum of 879.

However, if we use compatible numbers, we could choose to round 278 to 300 and 601 to 600. Adding these two compatible numbers results in an estimated sum of 900. This estimate is only 21 units away from the actual sum, providing a more accurate approximation.

By using compatible numbers, we avoid the significant errors that can occur with rounding and achieve a more precise estimate. Compatible numbers maintain a closer relationship to the original values, ensuring better accuracy in the estimation process.