Problem: Convert each fraction to its decimal form.
The task involves converting fractions with denominators of 10, 100, and 1000 into their decimal equivalents. Here's how to solve each one step by step:
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General Rule for Conversion:
- If the denominator is
10, the numerator becomes the first digit after the decimal point.
- If the denominator is
100, the numerator becomes the first two digits after the decimal point.
- If the denominator is
1000, the numerator becomes the first three digits after the decimal point.
If the numerator has fewer digits than required, add zeros to the left to fill in the missing places.
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Step-by-Step Solutions:
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Row 1:
1. $\frac{7}{10} = 0.7$ (Already solved)
2. $\frac{15}{100} = 0.15$ (Already solved)
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. $\frac{78}{10} = 7.8$
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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 converting fractions to decimals worksheet.