Question

place the rational numbers in order from least to greatest. 0.8, 35%, 2/5, 0.72

Explanation:

Step1: Convert all to decimals

$\frac{2}{5}=0.4$, $35\%=0.35$, values become $0.35, 0.4, 0.72, 0.8$

Step2: Order from least to greatest

Compare decimal values: $0.35 < 0.4 < 0.72 < 0.8$

Step3: Map back to original values

Replace decimals with original forms: $35\%, \frac{2}{5}, 0.72, 0.8$

Answer:

35%, 2/5, 0.72, 0.8 (matches the third option: 2/5, 35%, 0.72, 0.8 is incorrect; correct ordered list is 35%, 2/5, 0.72, 0.8)

Wait, correcting the step mapping:

Step3: Map back to original values

Replace decimals with original forms: $35\%, \frac{2}{5}, 0.72, 0.8$ which corresponds to the option: 35%, 2/5, 0.72, 0.8 (the third option in the image is written as 2/5, 35%, 0.72, 0.8 which is wrong, the correct order is 35%, 2/5, 0.72, 0.8)

Wait, rechecking:
$\frac{2}{5}=0.4$, $35\%=0.35$, so $0.35 < 0.4 < 0.72 < 0.8$, so original values in order: 35%, 2/5, 0.72, 0.8. None of the options exactly match? Wait no, the first option is 2/5, 35%, 0.72, 0.8 (wrong), second is 2/5, 0.8, 35%, 0.72 (wrong), third is 2/5, 35%, 0.72, 0.8 (wrong), fourth is 0.8, 2/5, 35%, 0.72 (wrong). Wait no, I misread:

Wait $\frac{2}{5}=0.4$, $35\%=0.35$, so $0.35 < 0.4 < 0.72 < 0.8$, so correct order is 35%, 2/5, 0.72, 0.8. But the options given:

1. 2/5, 35%, 0.72, 0.8
2. 2/5, 0.8, 35%, 0.72
3. 2/5, 35%, 0.72, 0.8 (same as 1)
4. 0.8, 2/5, 35%, 0.72

Wait no, maybe I flipped? No, 35% is 0.35 which is less than 0.4 (2/5). So the correct order is 35%, 2/5, 0.72, 0.8, which is not listed? Wait no, the image shows the question as "Place the rational numbers in order from least to greatest. 0.8, 35%, 2/5, 0.72"

Ah! I see, the numbers to order are 0.8, 35%, 2/5, 0.72. So converting all to decimals:

35% = 0.35, 2/5=0.4, 0.72=0.72, 0.8=0.8. So order from least to greatest: 0.35 (35%), 0.4 (2/5), 0.72, 0.8. So the correct ordered list is 35%, 2/5, 0.72, 0.8. None of the options exactly match, but the third option is 2/5, 35%, 0.72, 0.8 which is wrong, but maybe a typo? Wait no, maybe I misread the options. The third option is written as 2/5, 35%, 0.72, 0.8, which is 0.4, 0.35, 0.72, 0.8 which is wrong. The correct order is 35%, 2/5, 0.72, 0.8.

Wait, maybe the question is to order from greatest to least? No, the question says least to greatest.

Wait, rechecking:

$\frac{2}{5}=0.4$, 35%=0.35, 0.72=0.72, 0.8=0.8. So 0.35 < 0.4 < 0.72 < 0.8, so 35% < 2/5 < 0.72 < 0.8. So the correct answer is 35%, 2/5, 0.72, 0.8.

But the options given are:

1. 2/5, 35%, 0.72, 0.8
2. 2/5, 0.8, 35%, 0.72
3. 2/5, 35%, 0.72, 0.8
4. 0.8, 2/5, 35%, 0.72

None of these are correct? Wait no, maybe I misread the options. The first option is 2/5, 35%, 0.72, 0.8, which is 0.4, 0.35, 0.72, 0.8, which is wrong. The third option is same as first. So maybe the question has a typo, but the mathematically correct order is 35%, 2/5, 0.72, 0.8.

Wait, maybe I made a mistake in conversion: 35% is 0.35, 2/5 is 0.4, yes, 0.35 is less than 0.4. So correct order is 35%, 2/5, 0.72, 0.8.

Final Correct Answer:

35%, 2/5, 0.72, 0.8