Decimals - Worksheet Digital - Free Printable

Problem Overview:

The task involves arranging decimals in ascending order and descending order. Let's break it down step by step.

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Part 1: Arranging Decimals in Ascending Order

#### Row 1:
Decimals: \(0.104, 2.05, 0.007, 1.43, 1.478\)

1. Compare the whole number parts first:
- \(0.104\) and \(0.007\) have a whole number part of \(0\).
- \(2.05\) has a whole number part of \(2\).
- \(1.43\) and \(1.478\) have a whole number part of \(1\).

2. Compare the decimal parts for those with the same whole number part:
- For \(0.104\) and \(0.007\): \(0.007 < 0.104\).
- For \(1.43\) and \(1.478\): \(1.43 < 1.478\).

3. Arrange in ascending order:
\[
0.007, 0.104, 1.43, 1.478, 2.05
\]

#### Row 2:
Decimals: \(3.056, 0.563, 1.095, 2.6, 1.203\)

1. Compare the whole number parts:
- \(0.563\) has a whole number part of \(0\).
- \(1.095\) and \(1.203\) have a whole number part of \(1\).
- \(2.6\) has a whole number part of \(2\).
- \(3.056\) has a whole number part of \(3\).

2. Compare the decimal parts for those with the same whole number part:
- For \(1.095\) and \(1.203\): \(1.095 < 1.203\).

3. Arrange in ascending order:
\[
0.563, 1.095, 1.203, 2.6, 3.056
\]

#### Row 3:
Decimals: \(6.03, 20.67, 2.045, 0.576, 1.009\)

1. Compare the whole number parts:
- \(0.576\) has a whole number part of \(0\).
- \(1.009\) has a whole number part of \(1\).
- \(2.045\) has a whole number part of \(2\).
- \(6.03\) has a whole number part of \(6\).
- \(20.67\) has a whole number part of \(20\).

2. Arrange in ascending order:
\[
0.576, 1.009, 2.045, 6.03, 20.67
\]

---

Part 2: Arranging Decimals in Descending Order

#### Row 1:
Decimals: \(0.24, 0.678, 0.056, 0.56, 0.324\)

1. Compare the whole number parts (all are \(0\)), so compare the decimal parts:
- \(0.678 > 0.56 > 0.324 > 0.24 > 0.056\).

2. Arrange in descending order:
\[
0.678, 0.56, 0.324, 0.24, 0.056
\]

#### Row 2:
Decimals: \(1.206, 1.375, 1.6, 2.045, 1.056\)

1. Compare the whole number parts (all are \(1\) or \(2\)):
- \(2.045\) is the largest.
- For the rest: \(1.6 > 1.375 > 1.206 > 1.056\).

2. Arrange in descending order:
\[
2.045, 1.6, 1.375, 1.206, 1.056
\]

#### Row 3:
Decimals: \(5.506, 8.09, 2.35, 8.405, 1.28\)

1. Compare the whole number parts:
- \(8.09\) and \(8.405\) have the largest whole number part (\(8\)).
- \(5.506\) has a whole number part of \(5\).
- \(2.35\) has a whole number part of \(2\).
- \(1.28\) has a whole number part of \(1\).

2. Compare the decimal parts for those with the same whole number part:
- For \(8.09\) and \(8.405\): \(8.405 > 8.09\).

3. Arrange in descending order:
\[
8.405, 8.09, 5.506, 2.35, 1.28
\]

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Final Answer:

#### Ascending Order:
1. \(0.007, 0.104, 1.43, 1.478, 2.05\)
2. \(0.563, 1.095, 1.203, 2.6, 3.056\)
3. \(0.576, 1.009, 2.045, 6.03, 20.67\)

#### Descending Order:
1. \(0.678, 0.56, 0.324, 0.24, 0.056\)
2. \(2.045, 1.6, 1.375, 1.206, 1.056\)
3. \(8.405, 8.09, 5.506, 2.35, 1.28\)

\[
\boxed{
\begin{array}{l}
\text{Ascending Order:} \\
1. 0.007, 0.104, 1.43, 1.478, 2.05 \\
2. 0.563, 1.095, 1.203, 2.6, 3.056 \\
3. 0.576, 1.009, 2.045, 6.03, 20.67 \\
\\
\text{Descending Order:} \\
1. 0.678, 0.56, 0.324, 0.24, 0.056 \\
2. 2.045, 1.6, 1.375, 1.206, 1.056 \\
3. 8.405, 8.09, 5.506, 2.35, 1.28 \\
\end{array}
}
\]