To solve the problem of converting each fraction to its decimal form, we need to understand how fractions with denominators like 10, 100, and 1000 can be easily converted to decimals. Here's the step-by-step explanation:
Key Concept:
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Denominator of 10: The numerator becomes the first digit after the decimal point.
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Denominator of 100: The numerator becomes the first two digits after the decimal point.
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Denominator of 1000: The numerator becomes the first three digits after the decimal point.
If the numerator has fewer digits than required, we pad it with zeros on the left.
Solution:
#### Row 1:
1. $\frac{7}{10} = 0.7$
2. $\frac{15}{100} = 0.15$
3. $\frac{112}{1000} = 0.112$
4. $\frac{12}{1000} = 0.012$
#### Row 2:
1. $\frac{8}{10} = 0.8$
2. $\frac{24}{100} = 0.24$
3. $\frac{256}{1000} = 0.256$
4. $\frac{43}{1000} = 0.043$
#### Row 3:
1. $\frac{9}{10} = 0.9$
2. $\frac{58}{100} = 0.58$
3. $\frac{401}{1000} = 0.401$
4. $\frac{22}{1000} = 0.022$
#### Row 4:
1. $\frac{7}{100} = 0.07$
2. $\frac{3}{1000} = 0.003$
3. $\frac{39}{1000} = 0.039$
4. $\frac{198}{1000} = 0.198$
#### Row 5:
1. $\frac{3}{100} = 0.03$
2. $\frac{4}{1000} = 0.004$
3. $\frac{12}{1000} = 0.012$
4. $\frac{401}{1000} = 0.401$
#### Row 6:
1. $\frac{46}{100} = 0.46$
2. $\frac{2}{1000} = 0.002$
3. $\frac{73}{1000} = 0.073$
4. $\frac{28}{100} = 0.28$
#### Row 7:
1. $\frac{8}{100} = 0.08$
2. $\frac{9}{1000} = 0.009$
3. $\frac{98}{1000} = 0.098$
4. $\frac{35}{100} = 0.35$
#### Row 8:
1. $\frac{247}{10} = 24.7$
2. $\frac{423}{100} = 4.23$
3. $\frac{902}{1000} = 0.902$
4. $\frac{101}{10} = 10.1$
#### Row 9:
1. $\frac{68}{100} = 0.68$
2. $\frac{302}{1000} = 0.302$
3. $\frac{78}{1000} = 0.078$
4. $\frac{2345}{100} = 23.45$
#### Row 10:
1. $\frac{27}{10} = 2.7$
2. $\frac{603}{100} = 6.03$
3. $\frac{55}{1000} = 0.055$
4. $\frac{78}{10} = 7.8$
Final Answer:
\[
\boxed{
\begin{array}{cccc}
0.7 & 0.15 & 0.112 & 0.012 \\
0.8 & 0.24 & 0.256 & 0.043 \\
0.9 & 0.58 & 0.401 & 0.022 \\
0.07 & 0.003 & 0.039 & 0.198 \\
0.03 & 0.004 & 0.012 & 0.401 \\
0.46 & 0.002 & 0.073 & 0.28 \\
0.08 & 0.009 & 0.098 & 0.35 \\
24.7 & 4.23 & 0.902 & 10.1 \\
0.68 & 0.302 & 0.078 & 23.45 \\
2.7 & 6.03 & 0.055 & 7.8 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions as decimals worksheet.