Which list shows least to greatest
A. 60% 2/3 0.75 4/5
B. 60% 0.75 2/3 4/5
C. 4/5 0.75 2/3 60%
D. 2/3 4/5 60% 0.75
Probably it's best to convert all to decimals; then comparison is easy. Fo example, C is
0.80 0.75 0.67 0.60
clearly not in low-to-high order. So, now do the others.
alright
To determine which list shows the numbers in least to greatest order, we need to compare the values in each list and organize them from smallest to largest. Let's analyze each list and determine the correct answer:
A. 60%, 2/3, 0.75, 4/5:
To compare the values, we need to convert them to a common form: percentages, decimals, or fractions. Let's convert each value in list A to decimals:
- 60% as a decimal is 0.6
- 2/3 as a decimal is approximately 0.67 (rounded to two decimal places)
- 0.75 remains the same
- 4/5 as a decimal is 0.8
Now let's order these decimals from least to greatest: 0.6, 0.67, 0.75, 0.8
B. 60%, 0.75, 2/3, 4/5:
Again, we need to convert the values to a common form:
- 60% as a decimal is 0.6
- 0.75 remains the same
- 2/3 as a decimal is approximately 0.67 (rounded to two decimal places)
- 4/5 as a decimal is 0.8
The order of the decimals in list B from least to greatest is: 0.6, 0.67, 0.75, 0.8
C. 4/5, 0.75, 2/3, 60%:
Converting to decimals:
- 4/5 as a decimal is 0.8
- 0.75 remains the same
- 2/3 as a decimal is approximately 0.67 (rounded to two decimal places)
- 60% as a decimal is 0.6
Ordering the decimals in list C from least to greatest: 0.6, 0.67, 0.75, 0.8
D. 2/3, 4/5, 60%, 0.75:
Converting to decimals:
- 2/3 as a decimal is approximately 0.67 (rounded to two decimal places)
- 4/5 as a decimal is 0.8
- 60% as a decimal is 0.6
- 0.75 remains the same
Ordering the decimals in list D from least to greatest: 0.6, 0.67, 0.75, 0.8
Comparing the results:
After comparing the ordered decimals for each list, we can see that list B (60%, 0.75, 2/3, 4/5) is the correct answer.