Question

obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. then, use a calculator to perform the computation. how reasonable is your estimate when compared to the actual answer? 35.27 - 11.209 an estimate of the difference is 24. (type a whole number) the actual difference is 24.061. how reasonable is your estimate when compared to the actual answer? a. reasonable. the estimate seems a little lower compared to the actual answer. b. reasonable. the estimate seems a little higher compared to the actual answer. c. not reasonable. the estimate seems a little higher compared to the actual answer. d. not reasonable. the estimate seems a little lower compared to the actual answer.

Explanation:

Step1: Compare Estimate and Actual

The estimate is 24, and the actual difference is 21.061. Since \( 24>21.061 \), the estimate is higher than the actual answer. Now check the options: A says estimate is lower (incorrect), B says estimate is higher and reasonable? Wait, wait, wait—the actual difference calculation: Wait, the problem is \( 35.27 - 11.209 \)? Wait, no, wait the actual difference is 21.061? Wait, maybe I misread. Wait, the estimate is 24, actual is 21.061? Wait, no, let's recalculate: \( 35.27 - 11.209 = 24.061 \)? Wait, maybe a typo in the image. Wait, if actual difference is 24.061 (close to 24), but the options: Wait, the options are about if estimate (24) is reasonable. Wait, the actual difference is 24.061? Then estimate 24 is close. But the options: Wait, the user's image: "The actual difference is 21.061"—maybe a mistake. Wait, no, let's check the subtraction: 35.27 - 11.209. Let's compute: 35.27 - 11 = 24.27, then -0.209 = 24.061. Oh! So actual difference is 24.061, estimate is 24. So estimate is a little lower? Wait, no: 24 (estimate) vs 24.061 (actual). So estimate is slightly lower. Wait, the options: A. Reasonable. The estimate seems a little lower compared to the actual answer. Wait, but 24 vs 24.061: the estimate is 24, actual is ~24.06, so estimate is a bit lower. But is it reasonable? Yes, because 24 is close to 24.061. Wait, but the options: Let's re-express.

Wait, the problem: Obtain an estimate for \( 35.27 - 11.209 \) by rounding. Let's round 35.27 to 35, 11.209 to 11: 35 - 11 = 24 (estimate). Actual: 35.27 - 11.209 = 24.061. So estimate is 24, actual is 24.061. So estimate is a little lower (24 < 24.061) and reasonable (since close). So option A: Reasonable. The estimate seems a little lower compared to the actual answer.

Step2: Evaluate Options

• Option A: Matches (estimate 24 < 24.061, reasonable as close).
• Option B: Says estimate is higher (incorrect, 24 < 24.061).
• Option C: Says not reasonable (incorrect, 24 is close to 24.061).
• Option D: Says not reasonable (incorrect, and estimate is lower but reasonable).

Answer:

A. Reasonable. The estimate seems a little lower compared to the actual answer.