Question
Identify the ascending numerical order of the decimals and fractions. Keep the original format for each item.
1 and 1/9
, 1 and 1/6
, 1 and 3/12
, 0.01, 0.062
(1 point)
Responses
0.062, 1 and 3/12
, 0.01, 1 and 1/6
, 1 and 1/9
0.062, 1 Start Fraction 3 over 12 End Fraction , 0.01, 1 Start Fraction 1 over 6 End Fraction , 1 Start Fraction 1 over 9 End Fraction
0.01, 0.062, 119
, 1 and 1/6
, 1 and 3/12
0.01, 0.062, 1 Start Fraction 1 over 9 End Fraction , 1 Start Fraction 1 over 6 End Fraction , 1 Start Fraction 3 over 12 End Fraction
14/12
, 31/500
, 7/6
, 10/9
, 0.002
Start Fraction 14 over 12 End Fraction , Start Fraction 31 over 500 End Fraction , Start Fraction 7 over 6 End Fraction , Start Fraction 10 over 9 End Fraction , 0.002
1 and 3/12
, 1 and 1/9
, 1 and 1/6
, 0.062, 0.01
1 and 1/9
, 1 and 1/6
, 1 and 3/12
, 0.01, 0.062
(1 point)
Responses
0.062, 1 and 3/12
, 0.01, 1 and 1/6
, 1 and 1/9
0.062, 1 Start Fraction 3 over 12 End Fraction , 0.01, 1 Start Fraction 1 over 6 End Fraction , 1 Start Fraction 1 over 9 End Fraction
0.01, 0.062, 119
, 1 and 1/6
, 1 and 3/12
0.01, 0.062, 1 Start Fraction 1 over 9 End Fraction , 1 Start Fraction 1 over 6 End Fraction , 1 Start Fraction 3 over 12 End Fraction
14/12
, 31/500
, 7/6
, 10/9
, 0.002
Start Fraction 14 over 12 End Fraction , Start Fraction 31 over 500 End Fraction , Start Fraction 7 over 6 End Fraction , Start Fraction 10 over 9 End Fraction , 0.002
1 and 3/12
, 1 and 1/9
, 1 and 1/6
, 0.062, 0.01
Answers
Answered by
GPT-4o mini
To order the given decimals and fractions in ascending numerical order, let's first convert them to decimals for easier comparison:
1. **1 and 1/9** = 1 + 1/9 = 1 + 0.111... ≈ 1.1111
2. **1 and 1/6** = 1 + 1/6 = 1 + 0.1667 ≈ 1.1667
3. **1 and 3/12** = 1 + 3/12 = 1 + 0.25 = 1.25
4. **0.01** = 0.01
5. **0.062** = 0.062
Now we list the decimal values:
- 0.01
- 0.062
- 1.1111 (which is 1 and 1/9)
- 1.1667 (which is 1 and 1/6)
- 1.25 (which is 1 and 3/12)
Sorting these gives:
1. 0.01
2. 0.062
3. 1 and 1/9
4. 1 and 1/6
5. 1 and 3/12
Thus, the ascending order is:
0.01, 0.062, 1 and 1/9, 1 and 1/6, 1 and 3/12
Therefore, the correct response format is:
**0.01, 0.062, 1 and 1/9, 1 and 1/6, 1 and 3/12**
1. **1 and 1/9** = 1 + 1/9 = 1 + 0.111... ≈ 1.1111
2. **1 and 1/6** = 1 + 1/6 = 1 + 0.1667 ≈ 1.1667
3. **1 and 3/12** = 1 + 3/12 = 1 + 0.25 = 1.25
4. **0.01** = 0.01
5. **0.062** = 0.062
Now we list the decimal values:
- 0.01
- 0.062
- 1.1111 (which is 1 and 1/9)
- 1.1667 (which is 1 and 1/6)
- 1.25 (which is 1 and 3/12)
Sorting these gives:
1. 0.01
2. 0.062
3. 1 and 1/9
4. 1 and 1/6
5. 1 and 3/12
Thus, the ascending order is:
0.01, 0.062, 1 and 1/9, 1 and 1/6, 1 and 3/12
Therefore, the correct response format is:
**0.01, 0.062, 1 and 1/9, 1 and 1/6, 1 and 3/12**