8. Arrange the following values in ascending order: (a) $$ 22 \% ; 0,0223 ; \frac{6}{25} ; 0,232 ; 2,3 \% $$ b) $$ 3,5 \% ; \frac{7}{20} ; 0,305 ; 35,62 \% $$ c) $$ \frac{17}{20} ; 0,17 ; 17 \% ; 1,7 \% ; 1,7 $$

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We will convert each number into its decimal form so that we can compare them easily. Note that in many European countries a comma is used in place of a decimal point. All percentages should be converted to their decimal equivalents by dividing by 100.

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Part (a):  
Values: 22%; 0,0223; 6/25; 0,232; 2,3%.

Step 1. Convert each value to a decimal:
• 22% = 22/100 = 0,22  
• 0,0223 remains 0,0223  
• 6/25 = 0,24  
• 0,232 remains 0,232  
• 2,3% = 2,3/100 = 0,023

Step 2. List them with their decimal values:
  0,0223   (0,0223)  
  2,3%    (0,023)  
  22%     (0,22)  
  0,232   (0,232)  
  6/25    (0,24)

Step 3. Arrange in ascending order (from smallest to largest):
  0,0223 < 0,023 < 0,22 < 0,232 < 0,24

Thus, the ascending order for (a) is:
  0,0223; 2,3%; 22%; 0,232; 6/25.

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Part (b):  
Values: 3,5%; 7/20; 0,305; 35,62%.

Step 1. Convert each value:
• 3,5% = 0,035  
• 7/20 = 0,35  
• 0,305 remains 0,305  
• 35,62% = 0,3562

Step 2. Write with decimal values:
  3,5%    (0,035)  
  0,305   (0,305)  
  7/20    (0,35)  
  35,62%  (0,3562)

Step 3. Arrange in ascending order:
  0,035 < 0,305 < 0,35 < 0,3562

Thus, the ascending order for (b) is:
  3,5%; 0,305; 7/20; 35,62%.

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Part (c):  
Values: 17/20; 0,17; 17%; 1,7%; 1,7.

Step 1. Convert each value:
• 17/20 = 0,85  
• 0,17 remains 0,17  
• 17% = 0,17  
• 1,7% = 0,017  
• 1,7 remains 1,7

Step 2. Write with decimal values:
  1,7%    (0,017)  
  0,17    (0,17)  
  17%     (0,17)  
  17/20   (0,85)  
  1,7     (1,7)

Step 3. Arrange in ascending order:
  0,017 < 0,17 = 0,17 < 0,85 < 1,7

Thus, the ascending order for (c) is:
  1,7%; 0,17 (or 17%); 17/20; 1,7.

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Summary of Answers:  
(a) 0,0223; 2,3%; 22%; 0,232; 6/25.  
(b) 3,5%; 0,305; 7/20; 35,62%.  
(c) 1,7%; 0,17 (which is the same as 17%); 17/20; 1,7.
(a) 0.0223, 2.3%, 22%, 0.232, 6/25 (b) 3.5%, 0.305, 7/20, 35.62% (c) 1.7%, 0.17 (or 17%), 17/20, 1.7

8. Arrange the following values in ascending order: (a) \( 22 \% ; 0,0223 ; \frac{6}{25} ; 0,232 ; 2,3 \% \) b) \( 3,5 \% ; \frac{7}{20} ; 0,305 ; 35,62 \% \) c) \( \frac{17}{20} ; 0,17 ; 17 \% ; 1,7 \% ; 1,7 \)

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