QUESTION IMAGE
Question
james measured the lengths of his five favorite books in inches. which list shows the lengths in order from least to greatest? 8.24 in., 8.25 in., 8.45 in., 8.52., 8.54 in. 8.54 in., 8.52 in., 8.45 in., 8.25 in., 8.24 in. 8.25 in., 8.52 in., 8.45 in., 8.54., 8.24. 8.45 in., 8.54 in., 8.25 in., 8.52 in., 8.24 in.
Step1: Compare tenths place
All numbers have 8 in the ones place. Look at tenths: 2 (8.24, 8.25), 4 (8.45), 5 (8.52, 8.54). So order of tenths: 2 < 4 < 5.
Step2: Compare hundredths for tenths=2
8.24 (4 hundredths) and 8.25 (5 hundredths). So 8.24 < 8.25.
Step3: Compare hundredths for tenths=5
8.52 (2 hundredths) and 8.54 (4 hundredths). So 8.52 < 8.54.
Step4: Combine all
Order from least to greatest: 8.24, 8.25, 8.45, 8.52, 8.54? Wait, no, wait the options. Wait the blue box: 8.54, 8.52, 8.45, 8.25, 8.24? No. Wait the first green box: 8.24, 8.25, 8.45, 8.52, 8.54. Wait let's check each option. Wait the correct order of the numbers 8.24, 8.25, 8.45, 8.52, 8.54:
First, sort by tenths: 8.24, 8.25 (tenths 2), then 8.45 (tenths 4), then 8.52, 8.54 (tenths 5). Then within tenths 2: 8.24 < 8.25 (since 4 < 5 in hundredths). Within tenths 5: 8.52 < 8.54 (2 < 4 in hundredths). So the correct order is 8.24, 8.25, 8.45, 8.52, 8.54. Wait but looking at the options, the first green box (top) is 8.24, 8.25, 8.45, 8.52, 8.54. Let's check the blue box: 8.54, 8.52, 8.45, 8.25, 8.24 – that's greatest to least. Red box: 8.25, 8.52, 8.45, 8.54, 8.24 – mixed. Wait no, maybe I misread. Wait the numbers are 8.24, 8.25, 8.45, 8.52, 8.54. So sorting from least to greatest:
- 8.24 (least, tenths 2, hundredths 4)
- 8.25 (tenths 2, hundredths 5)
- 8.45 (tenths 4, hundredths 5)
- 8.52 (tenths 5, hundredths 2)
- 8.54 (tenths 5, hundredths 4)
So the correct list is 8.24, 8.25, 8.45, 8.52, 8.54 – which is the first green box (top). Wait but let's check the options again. Wait the problem says "which list shows the lengths in order from least to greatest". So the correct order is 8.24, 8.25, 8.45, 8.52, 8.54. So the first green box (top) has that order. Wait maybe the user's image: the top green box is 8.24 in., 8.25 in., 8.45 in., 8.52 in., 8.54 in. So that's the correct order.
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The list in the top green box (8.24 in., 8.25 in., 8.45 in., 8.52 in., 8.54 in.)