To order these numbers from smallest to largest, the easiest way is to turn all the fractions into decimals. This makes it much easier to compare them.
Here is the step-by-step solution for each row:
1. Row 1:
* $0.2$ stays
0.2
* $\frac{3}{10}$ becomes
0.3
* $\frac{1}{10}$ becomes
0.1
* $0.25$ stays
0.25
* $\frac{11}{100}$ becomes
0.11
Now, let's order the decimals: $0.1, 0.11, 0.2, 0.25, 0.3$.
Matching them back to the original numbers:
$\frac{1}{10}, \frac{11}{100}, 0.2, 0.25, \frac{3}{10}$
2. Row 2:
* $0.3$ stays
0.3
* $\frac{3}{5}$ becomes
0.6 (because $3 \div 5 = 0.6$)
* $\frac{4}{5}$ becomes
0.8 (because $4 \div 5 = 0.8$)
* $0.7$ stays
0.7
* $\frac{85}{100}$ becomes
0.85
Now, let's order the decimals: $0.3, 0.6, 0.7, 0.8, 0.85$.
Matching them back to the original numbers:
$0.3, \frac{3}{5}, 0.7, \frac{4}{5}, \frac{85}{100}$
3. Row 3:
* $\frac{3}{4}$ becomes
0.75
* $\frac{3}{8}$ becomes
0.375
* $0.77$ stays
0.77
* $0.61$ stays
0.61
* $\frac{8}{12}$ simplifies to $\frac{2}{3}$, which is approximately
0.666...
Now, let's order the decimals: $0.375, 0.61, 0.666..., 0.75, 0.77$.
Matching them back to the original numbers:
$\frac{3}{8}, 0.61, \frac{8}{12}, \frac{3}{4}, 0.77$
4. Row 4:
* $\frac{7}{5}$ becomes
1.4
* $\frac{11}{8}$ becomes
1.375
* $1.12$ stays
1.12
* $1.02$ stays
1.02
* $\frac{13}{10}$ becomes
1.3
Now, let's order the decimals: $1.02, 1.12, 1.3, 1.375, 1.4$.
Matching them back to the original numbers:
$1.02, 1.12, \frac{13}{10}, \frac{11}{8}, \frac{7}{5}$
Final Answer:
1. $\frac{1}{10}, \frac{11}{100}, 0.2, 0.25, \frac{3}{10}$
2. $0.3, \frac{3}{5}, 0.7, \frac{4}{5}, \frac{85}{100}$
3. $\frac{3}{8}, 0.61, \frac{8}{12}, \frac{3}{4}, 0.77$
4. $1.02, 1.12, \frac{13}{10}, \frac{11}{8}, \frac{7}{5}$
Parent Tip: Review the logic above to help your child master the concept of compare and order fractions and decimals worksheet.