Put the following rational numbers in order from least to greatest.

70%, 7%, 17%, -3.7%, 0.3%

1 answer

To put the given rational numbers in order from least to greatest, we will first convert all of them into a consistent format. Since they are all percentages, we can convert them to decimal form for easier comparison.

  1. \(70% = 0.70\)
  2. \(7% = 0.07\)
  3. \(17% = 0.17\)
  4. \(-3.7% = -0.037\)
  5. \(0.3% = 0.003\)

Now, we will list the decimal values:

  • \(-0.037\)
  • \(0.003\)
  • \(0.07\)
  • \(0.17\)
  • \(0.70\)

Now we can order these decimals from least to greatest:

  1. \(-0.037\) (or \(-3.7%\))
  2. \(0.003\) (or \(0.3%\))
  3. \(0.07\) (or \(7%\))
  4. \(0.17\) (or \(17%\))
  5. \(0.70\) (or \(70%\))

Thus, the order from least to greatest is:

\(-3.7%, 0.3%, 7%, 17%, 70%\)