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Which answer correctly orders the set of numbers from greatest to least: 1/8, 36%, 0.85, 0.078?

A) 0.85, 1/8, 36%, 0.078
B) 36%, 1/8, 0.85, 0.078
C) 36%, 1/8, 0.078, 0.85
D) 0.85, 36%, 1/8, 0.078

1 Answer

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Final answer:

To order the numbers from greatest to least, convert them all to decimal form, then compare them. The order from greatest to least is 0.85, 0.36 (36%), 0.125 (1/8), and 0.078, which corresponds to answer choice A) 0.85, 36%, 1/8, 0.078.

Step-by-step explanation:

The student is asking to order the set of numbers (1/8, 36%, 0.85, 0.078) from greatest to least. To answer this, we need to convert all numbers to the same format, which is usually decimal form for ease of comparison. Here's how:

  • 1/8 can be converted to 0.125, since 1 divided by 8 equals 0.125.
  • 36% is equivalent to 0.36 in decimal form.
  • 0.85 is already in decimal form.
  • 0.078 is already in decimal form.

Now, we compare these decimals to determine the order from greatest to least:

  1. 0.85 is the largest number.
  2. 0.36 (converted from 36%) is the next largest.
  3. 0.125 (converted from 1/8) follows.
  4. 0.078 is the smallest number.

Therefore, the correct answer is A) 0.85, 36%, 1/8, 0.078.

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