Math worksheet for converting 4-digit numbers from expanded form to standard form.

A math worksheet titled "Standard Form | 4-Digit" with 15 problems requiring students to write expanded form equations in standard form.

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Show Answer Key & Explanations Step-by-step solution for: Writing 4-Digit Numbers in Standard Form Worksheets

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Problem Explanation:

The task requires converting sums of place values into their standard form. In standard form, a number is written as a single numeral without breaking it down into its place values. For example, the sum \(1,000 + 900 + 60 + 3\) would be written as \(1963\).

Solution Approach:

1. Identify the value of each term in the sum.
2. Add the terms together to get the total.
3. Write the result in standard form.

Step-by-Step Solutions:

#### 1) \(1,000 + 900 + 60 + 3\)
- \(1,000\) (thousands place)
- \(900\) (hundreds place)
- \(60\) (tens place)
- \(3\) (ones place)
- Total: \(1,000 + 900 + 60 + 3 = 1963\)

Answer: \(1963\)

#### 2) \(4,000 + 500 + 40 + 9\)
- \(4,000\) (thousands place)
- \(500\) (hundreds place)
- \(40\) (tens place)
- \(9\) (ones place)
- Total: \(4,000 + 500 + 40 + 9 = 4549\)

Answer: \(4549\)

#### 3) \(5,000 + 40\)
- \(5,000\) (thousands place)
- \(40\) (tens place)
- Total: \(5,000 + 40 = 5040\)

Answer: \(5040\)

#### 4) \(6,000 + 200 + 30 + 1\)
- \(6,000\) (thousands place)
- \(200\) (hundreds place)
- \(30\) (tens place)
- \(1\) (ones place)
- Total: \(6,000 + 200 + 30 + 1 = 6231\)

Answer: \(6231\)

#### 5) \(7,000 + 800 + 70\)
- \(7,000\) (thousands place)
- \(800\) (hundreds place)
- \(70\) (tens place)
- Total: \(7,000 + 800 + 70 = 7870\)

Answer: \(7870\)

#### 6) \(3,000 + 600 + 30 + 4\)
- \(3,000\) (thousands place)
- \(600\) (hundreds place)
- \(30\) (tens place)
- \(4\) (ones place)
- Total: \(3,000 + 600 + 30 + 4 = 3634\)

Answer: \(3634\)

#### 7) \(1,000 + 500 + 50\)
- \(1,000\) (thousands place)
- \(500\) (hundreds place)
- \(50\) (tens place)
- Total: \(1,000 + 500 + 50 = 1550\)

Answer: \(1550\)

#### 8) \(2,000 + 500 + 10 + 6\)
- \(2,000\) (thousands place)
- \(500\) (hundreds place)
- \(10\) (tens place)
- \(6\) (ones place)
- Total: \(2,000 + 500 + 10 + 6 = 2516\)

Answer: \(2516\)

#### 9) \(3,000 + 100\)
- \(3,000\) (thousands place)
- \(100\) (hundreds place)
- Total: \(3,000 + 100 = 3100\)

Answer: \(3100\)

#### 10) \(6,000 + 6\)
- \(6,000\) (thousands place)
- \(6\) (ones place)
- Total: \(6,000 + 6 = 6006\)

Answer: \(6006\)

#### 11) \(7,000 + 200 + 70\)
- \(7,000\) (thousands place)
- \(200\) (hundreds place)
- \(70\) (tens place)
- Total: \(7,000 + 200 + 70 = 7270\)

Answer: \(7270\)

#### 12) \(8,000 + 900 + 1\)
- \(8,000\) (thousands place)
- \(900\) (hundreds place)
- \(1\) (ones place)
- Total: \(8,000 + 900 + 1 = 8901\)

Answer: \(8901\)

#### 13) \(9,000 + 600 + 50 + 5\)
- \(9,000\) (thousands place)
- \(600\) (hundreds place)
- \(50\) (tens place)
- \(5\) (ones place)
- Total: \(9,000 + 600 + 50 + 5 = 9655\)

Answer: \(9655\)

#### 14) \(2,000 + 200 + 60 + 2\)
- \(2,000\) (thousands place)
- \(200\) (hundreds place)
- \(60\) (tens place)
- \(2\) (ones place)
- Total: \(2,000 + 200 + 60 + 2 = 2262\)

Answer: \(2262\)

#### 15) \(8,000 + 80 + 8\)
- \(8,000\) (thousands place)
- \(80\) (tens place)
- \(8\) (ones place)
- Total: \(8,000 + 80 + 8 = 8088\)

Answer: \(8088\)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 1963 \\
2) & 4549 \\
3) & 5040 \\
4) & 6231 \\
5) & 7870 \\
6) & 3634 \\
7) & 1550 \\
8) & 2516 \\
9) & 3100 \\
10) & 6006 \\
11) & 7270 \\
12) & 8901 \\
13) & 9655 \\
14) & 2262 \\
15) & 8088 \\
\end{array}
}
\]

Parent Tip: Review the logic above to help your child master the concept of expanded and standard form worksheet.

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