Final answer:
Estimation and calculation of the problems 584 + 392 and 1,000 - 439 show that estimating by rounding numbers to their nearest hundred provides a quick and reasonably accurate assessment of the actual results, which are 976 and 561, respectively.
Step-by-step explanation:
The task at hand is to estimate and then solve two arithmetic problems: 584 + 392 and 1,000 - 439. For estimations, we can round each number to its nearest hundred and perform the operations:
Estimate for addition: 600 + 400 = 1,000
Estimate for subtraction: 1,000 - 440 = 560
Now let's solve the original problems accurately:
-
-
Comparing estimates with exact results, we observe our estimations are reasonably close to the actual sums and differences. It demonstrates the usefulness of estimates in quickly assessing the magnitude of answers.