Final answer:
To estimate 497 divided by 8, we use the compatible number 500, which gives us a quotient of 62.5. Rounding this to the nearest whole number, our estimated result is 60.
Step-by-step explanation:
To estimate the quotient of 497 divided by 8 using compatible numbers, we look for a multiple of 8 that is close to 497. The number 500 is very close to 497 and is divisible by 8 since it ends with 00, which makes it easy to divide. Instead of 497, we use 500 because it is a compatible number that simplifies mental calculation.
Next, we divide 500 by 8:
500 ÷ 8 = 62.5
However, 62.5 needs to be rounded to get our estimated quotient. Since we're looking for an estimate that's a whole number, we can round 62.5 to the nearest tens, which gives us 60 as the estimated result.
Therefore, the answer to what 497 divided by 8 is about is a) 60.