Question

making measurements
thermometer
the calibration of this thermometer is to a single unit, 1°c.
what place value should the temperature be recorded to?
nearest 0.1 °c
nearest 10 °c
nearest 0.01 °c
nearest 1 °c

Explanation:

Step1: Analyze thermometer calibration

The thermometer is calibrated to 1°C per major division, and between major divisions (like 10 - 20, 20 - 30), there are smaller divisions. Wait, actually, looking at the scale: between 10, 20, 30, each major mark is 10°C? No, wait, the magnified part shows between 10, 20, 30, with smaller ticks. Wait, the problem says "calibration of this thermometer is to a single unit, 1°C"? Wait, no, the scale: let's see, the distance between 10, 20, 30 – wait, no, the ticks: between 20 and 30, how many small ticks? Wait, the key is the precision. If the thermometer has markings (calibration) to 1°C? No, wait, the question is about place value. Wait, the options: nearest 0.1°C, 10°C, 0.01°C, 1°C. Wait, the thermometer's scale: looking at the magnified image, between, say, 20 and 30, how many intervals? Wait, maybe the thermometer has each small tick as 1°C? No, wait, the problem's context: when a measuring device is calibrated to a certain unit, the measurement should be recorded to the next decimal place (uncertainty). Wait, no, if the thermometer is calibrated (the smallest division) is 1°C? Wait, no, maybe the smallest division is 1°C, but when recording, we can estimate to the nearest 0.1°C? Wait, no, let's think about significant figures and measurement precision. The thermometer's scale: if the smallest division (calibration) is 1°C, but we can estimate to the tenths place (0.1°C) because we can see between the 1°C marks. Wait, no, the problem says "calibration of this thermometer is to a single unit, 1°C" – wait, maybe the calibration is 1°C per unit, but the question is about place value. Wait, the options: nearest 0.1°C, 10°C, 0.01°C, 1°C. Let's eliminate: nearest 10°C is too big (since the scale has 10,20,30, so between them, smaller ticks). Nearest 0.01°C would be if calibration is 0.01, but here calibration is 1°C? No, maybe the calibration is 1°C, but we can estimate to 0.1°C. Wait, no, let's check the options. Wait, the correct approach: when a measuring instrument has a scale with smallest division (calibration) of 1 unit, the measurement should be recorded to the nearest 0.1 unit (tenths place) because we can estimate between the 1-unit marks. Wait, but maybe the thermometer's smallest division is 1°C, so the place value to record is nearest 1°C? No, that doesn't make sense. Wait, no, looking at the scale: between 20 and 30, how many small ticks? Let's count: from 20 to 30, if there are 10 small ticks, each is 1°C (so 20,21,22,...30). But then, when measuring, we can estimate to the nearest 0.1°C? No, that's not right. Wait, maybe the thermometer's calibration is 1°C, but the question is about place value. Wait, the correct answer is nearest 0.1°C? No, wait, no – wait, the problem's image: the thermometer has markings (the small lines) at each 1°C? Wait, no, maybe the calibration is 1°C, but the answer is nearest 1°C? No, that can't be. Wait, I think I made a mistake. Let's re-express: the thermometer's scale – if the smallest division (the distance between two adjacent marks) is 1°C, then the measurement should be recorded to the nearest 1°C? No, that's not correct. Wait, no, the rule is: when using a measuring device, the precision is determined by the smallest division. If the smallest division is 1°C, then we can estimate to the tenths place (0.1°C) because we can see between the 1°C marks. For example, a ruler with mm marks (1mm) is recorded to 0.1mm. So similarly, a thermometer with 1°C marks is recorded to 0.1°C. Wait, but the options include nearest 0.1°C. Wait, but let's check the options again. The options are:

- nearest 0.1 °C

- nearest 10 °C

- nearest 0.01 °C

- nearest 1 °C

So 10°C is too large (the scale has 10,20,30, so between them, smaller ticks, so 10°C is not precise). 0.01°C would be if the smallest division is 0.01°C, which is not the case here. 1°C: if the smallest division is 1°C, but we can estimate to 0.1°C. Wait, maybe the thermometer's smallest division is 1°C, but the answer is nearest 1°C? No, that's conflicting. Wait, maybe the problem's thermometer has each small tick as 1°C, so the place value to record is nearest 1°C? No, that doesn't fit. Wait, I think I messed up. Let's think again. The question is "What place value should the temperature be recorded to?" Place value: units, tenths, hundredths, tens. The thermometer's scale: if the smallest mark (calibration) is 1°C, then the measurement is recorded to the nearest 1°C? No, that's not right. Wait, no, the correct answer is nearest 0.1°C? Wait, no, maybe the thermometer has a precision of 0.1°C? Wait, the problem says "calibration of this thermometer is to a single unit, 1°C" – maybe that's a typo, and it's 0.1°C? No, the user's image: "the calibration of this thermometer is to a single unit, 1°C" – so each unit (smallest division) is 1°C. Then, when measuring, we can estimate to the tenths place (0.1°C) because we can see between the 1°C marks. So the place value is nearest 0.1°C.

Step2: Eliminate incorrect options

- Nearest 10°C: too imprecise (scale has 10,20,30 with smaller ticks, so 10°C is not the precision).

- Nearest 0.01°C: requires calibration to 0.01°C, which isn't stated.

- Nearest 1°C: if calibration is 1°C, but we can estimate to 0.1°C (since we can see between 1°C marks), so 1°C is too coarse.

- Nearest 0.1°C: correct, as we can estimate between 1°C marks to the tenths place.

Answer:

nearest 0.1 °C