Final answer:
To estimate the division of 804 by 14.9, we round the numbers to 800 and 15 respectively, and divide, leading to an approximate result of 53 when rounded to the nearest whole number.
Step-by-step explanation:
To estimate the value of 804 ÷ 14.9 by rounding each number to the nearest 10, we need to round 804 to 800 (since it is closer to 800 than to 810) and round 14.9 to 15 (since it is closer to 15 than to 20). Now, our division problem simplifies to 800 divided by 15.
Next, we perform the division with the rounded numbers. 800 ÷ 15 can be estimated as 800 ÷ 10 first, which equals 80, to make the division simpler.
Recognizing that 15 is 1.5 times greater than 10, we can further simplify by considering that our answer should be about 1.5 times smaller than 80. So, we divide 80 by 1.5, giving us approximately 53.33.
However, since we are estimating, we can round to the nearest whole number, resulting in approximately 53.
It's important to note that estimating by rounding can lead to a different result compared to the precise calculation, which should be considered when interpreting the estimated value.