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Order the following numbers from least to greatest.





(8)/(9)
0.85
0.92

Order the following numbers from least to greatest.\newline 89amp;0.85amp;0.92\begin{array}{l|l|l} \frac{8}{9} & 0.85 & 0.92 \end{array}

Full solution

Q. Order the following numbers from least to greatest.\newline 890.850.92\begin{array}{l|l|l} \frac{8}{9} & 0.85 & 0.92 \end{array}
  1. Compare and Identify Extremes: First, we need to compare the numbers to determine which is the smallest and which is the largest. We have three numbers: (8)/(9)(8)/(9), 0.850.85, and 0.920.92. To compare them, it's helpful to express them all in the same form. We can convert the fraction (8)/(9)(8)/(9) to a decimal to make the comparison easier.
  2. Convert Fraction to Decimal: To convert the fraction (8)/(9)(8)/(9) to a decimal, we divide 88 by 99. This gives us approximately 0.8880.888\dots
  3. Compare Decimals: Now we have three decimals to compare: 0.8880.888\ldots, 0.850.85, and 0.920.92. We can see that 0.850.85 is the smallest number because it is less than both 0.8880.888\ldots and 0.920.92.
  4. Order Numbers: Next, we compare 0.8880.888\ldots and 0.920.92. Since 0.8880.888\ldots is less than 0.920.92, we can conclude that 0.8880.888\ldots is the middle number and 0.920.92 is the largest.
  5. Order Numbers: Next, we compare 0.8880.888\ldots and 0.920.92. Since 0.8880.888\ldots is less than 0.920.92, we can conclude that 0.8880.888\ldots is the middle number and 0.920.92 is the largest.Now that we have compared all the numbers, we can order them from least to greatest: 0.850.85, 0.8880.888\ldots, 0.920.92.

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