Question

In 2006 , there were 125 nesting pairs in Ohio (OH) and 96 nesting pairs in Pennsylvania (PA). a. Estimate the difference between the nesting pairs in Ohio and Pennsylvania by rounding both numbers to the hundreds place. b. If you round both numbers to the tens place, what is your estimate? c. Which is the better "estimate"? Explain.

Short answer

Answer: The estimate by rounding to the tens place (40 nesting pairs difference) is better, because it is much closer to the actual difference (29 nesting pairs) than the estimate by rounding to the hundreds place (100 nesting pairs difference).

Step-by-step solution

Find the rounded numbers of nesting pairs in Ohio and Pennsylvania to the hundreds place.

In Ohio, there are 125 nesting pairs and in Pennsylvania, there are 96 nesting pairs. To round these numbers to the hundreds place, look at the tens digit. - If the tens digit is 5 or more, round up. - If the tens digit is less than 5, round down. For Ohio, it rounds down to 100 and for Pennsylvania, it rounds down to 0.

Calculate the difference between the rounded numbers.

Subtract the smaller rounded number from the larger one: 100 - 0 = 100 So, the estimated difference by rounding to the hundreds place is 100 nesting pairs. #b. Estimate the difference by rounding both numbers to the tens place.#

Find the rounded numbers of nesting pairs in Ohio and Pennsylvania to the tens place.

In Ohio, there are 125 nesting pairs and in Pennsylvania, there are 96 nesting pairs. To round these numbers to the tens place, look at the units digit. - If the units digit is 5 or more, round up. - If the units digit is less than 5, round down. For Ohio, it rounds up to 130 and for Pennsylvania, it rounds down to 90.

Calculate the difference between the rounded numbers.

Subtract the smaller rounded number from the larger one: 130 - 90 = 40 So, the estimated difference by rounding to the tens place is 40 nesting pairs. #c. Which is the better "estimate"? Explain.#

Compare the two estimates and explain which one is better.

The two estimates calculated are: 1. Rounding to hundreds place: 100 nesting pairs difference 2. Rounding to tens place: 40 nesting pairs difference The actual difference between the nesting pairs in Ohio and Pennsylvania is: 125 - 96 = 29 nesting pairs. The estimate by rounding to the tens place (40 nesting pairs difference) is much closer to the actual difference (29 nesting pairs) than the estimate by rounding to the hundreds place (100 nesting pairs difference). Therefore, rounding to the tens place provides a better estimate in this case.