Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

put these numbers in order from greatest to least. 9.53, 9.85, \\(\\fra…

Question

put these numbers in order from greatest to least. 9.53, 9.85, \\(\frac{47}{5}\\)

Explanation:

Step1: Convert the fraction to a decimal

To compare the numbers, we first convert \(\frac{47}{5}\) to a decimal. Dividing 47 by 5: \(47\div5 = 9.4\)

Step2: Compare the decimals

Now we have the three numbers as decimals: \(9.53\), \(9.85\), and \(9.4\).
Comparing the whole number part, all have 9. Then we compare the tenths place:

  • \(9.85\) has 8 in the tenths place.
  • \(9.53\) has 5 in the tenths place.
  • \(9.4\) (which is \(\frac{47}{5}\)) has 4 in the tenths place.

Since \(8 > 5 > 4\), the order from greatest to least is \(9.85\), \(9.53\), \(\frac{47}{5}\).

Answer:

\(9.85\), \(9.53\), \(\frac{47}{5}\)