Engaging "Expanding Numbers" math worksheet for Grade 2 students, designed to improve math skills with fun ocean-themed visuals.

Problem Overview:

The worksheet is designed for Grade 2 students to practice expanding numbers and writing them in standard form. The tasks are divided into two sections:

1. Write the number in standard form: Convert the expanded form of a number (e.g., \(800 + 90 + 6\)) into its standard form (e.g., 896).
2. Write the expanded form of each number: Break down a given number into its expanded form (e.g., 529 becomes \(500 + 20 + 9\)).

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Solution:

#### Section 1: Write the number in standard form

We need to add the components of each expanded form to get the standard form.

1. \(800 + 90 + 6 = 896\)
2. \(600 + 20 + 3 = 623\)
3. \(700 + 50 + 9 = 759\)
4. \(900 + 80 + 5 = 985\)
5. \(400 + 40 + 7 = 447\)
6. \(100 + 10 + 2 = 112\)

For the second column:

1. \(400 + 50 + 4 = 454\)
2. \(900 + 60 + 7 = 967\)
3. \(500 + 40 + 3 = 543\)
4. \(300 + 10 + 1 = 311\)
5. \(600 + 20 + 7 = 627\)
6. \(300 + 90 + 6 = 396\)

#### Final Answers for Section 1:
- First column: \(896, 623, 759, 985, 447, 112\)
- Second column: \(454, 967, 543, 311, 627, 396\)

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#### Section 2: Write the expanded form of each number

We need to break down each number into its hundreds, tens, and ones place values.

1. \(529 = 500 + 20 + 9\)
2. \(864 = 800 + 60 + 4\)
3. \(174 = 100 + 70 + 4\)
4. \(375 = 300 + 70 + 5\)
5. \(289 = 200 + 80 + 9\)

For the second column:

1. \(856 = 800 + 50 + 6\)
2. \(453 = 400 + 50 + 3\)
3. \(368 = 300 + 60 + 8\)
4. \(734 = 700 + 30 + 4\)
5. \(932 = 900 + 30 + 2\)

#### Final Answers for Section 2:
- First column: \(500 + 20 + 9, 800 + 60 + 4, 100 + 70 + 4, 300 + 70 + 5, 200 + 80 + 9\)
- Second column: \(800 + 50 + 6, 400 + 50 + 3, 300 + 60 + 8, 700 + 30 + 4, 900 + 30 + 2\)

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Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Section 1:} & \text{First column: } 896, 623, 759, 985, 447, 112 \\
& \text{Second column: } 454, 967, 543, 311, 627, 396 \\
\text{Section 2:} & \text{First column: } 500 + 20 + 9, 800 + 60 + 4, 100 + 70 + 4, 300 + 70 + 5, 200 + 80 + 9 \\
& \text{Second column: } 800 + 50 + 6, 400 + 50 + 3, 300 + 60 + 8, 700 + 30 + 4, 900 + 30 + 2
\end{array}
}
\]