6-digit standard form math worksheet for practicing converting expanded notation to standard form.

Problem Explanation:

The task requires converting the given expanded forms of numbers into their standard (or numerical) form. Each problem provides a sum of place values (e.g., hundreds of thousands, ten thousands, thousands, hundreds, tens, and ones), and we need to combine these to form a single 6-digit number.

Solution Approach:

1. Identify Place Values: Each term in the expanded form represents a specific place value (e.g., "900,000" is the hundred-thousands place).
2. Add All Terms: Sum all the terms to get the total number.
3. Write in Standard Form: Write the resulting number as a single 6-digit number.

Step-by-Step Solutions:

#### 1) \( 900,000 + 80,000 + 7,000 + 200 + 20 + 1 \)
- Breakdown:
- Hundred-thousands: \( 900,000 \)
- Ten-thousands: \( 80,000 \)
- Thousands: \( 7,000 \)
- Hundreds: \( 200 \)
- Tens: \( 20 \)
- Ones: \( 1 \)
- Sum: \( 900,000 + 80,000 + 7,000 + 200 + 20 + 1 = 987,221 \)
- Answer: \( 987,221 \)

#### 2) \( 100,000 + 30,000 + 2,000 + 100 + 40 + 7 \)
- Breakdown:
- Hundred-thousands: \( 100,000 \)
- Ten-thousands: \( 30,000 \)
- Thousands: \( 2,000 \)
- Hundreds: \( 100 \)
- Tens: \( 40 \)
- Ones: \( 7 \)
- Sum: \( 100,000 + 30,000 + 2,000 + 100 + 40 + 7 = 132,147 \)
- Answer: \( 132,147 \)

#### 3) \( 200,000 + 60,000 + 100 + 20 + 4 \)
- Breakdown:
- Hundred-thousands: \( 200,000 \)
- Ten-thousands: \( 60,000 \)
- Thousands: \( 0 \)
- Hundreds: \( 100 \)
- Tens: \( 20 \)
- Ones: \( 4 \)
- Sum: \( 200,000 + 60,000 + 100 + 20 + 4 = 260,124 \)
- Answer: \( 260,124 \)

#### 4) \( 400,000 + 50,000 + 4,000 + 500 + 60 + 5 \)
- Breakdown:
- Hundred-thousands: \( 400,000 \)
- Ten-thousands: \( 50,000 \)
- Thousands: \( 4,000 \)
- Hundreds: \( 500 \)
- Tens: \( 60 \)
- Ones: \( 5 \)
- Sum: \( 400,000 + 50,000 + 4,000 + 500 + 60 + 5 = 454,565 \)
- Answer: \( 454,565 \)

#### 5) \( 700,000 + 80,000 + 6,000 + 300 + 40 + 2 \)
- Breakdown:
- Hundred-thousands: \( 700,000 \)
- Ten-thousands: \( 80,000 \)
- Thousands: \( 6,000 \)
- Hundreds: \( 300 \)
- Tens: \( 40 \)
- Ones: \( 2 \)
- Sum: \( 700,000 + 80,000 + 6,000 + 300 + 40 + 2 = 786,342 \)
- Answer: \( 786,342 \)

#### 6) \( 500,000 + 40,000 + 5,000 + 700 + 10 \)
- Breakdown:
- Hundred-thousands: \( 500,000 \)
- Ten-thousands: \( 40,000 \)
- Thousands: \( 5,000 \)
- Hundreds: \( 700 \)
- Tens: \( 10 \)
- Ones: \( 0 \)
- Sum: \( 500,000 + 40,000 + 5,000 + 700 + 10 = 545,710 \)
- Answer: \( 545,710 \)

#### 7) \( 800,000 + 70,000 + 8,000 + 900 + 30 + 3 \)
- Breakdown:
- Hundred-thousands: \( 800,000 \)
- Ten-thousands: \( 70,000 \)
- Thousands: \( 8,000 \)
- Hundreds: \( 900 \)
- Tens: \( 30 \)
- Ones: \( 3 \)
- Sum: \( 800,000 + 70,000 + 8,000 + 900 + 30 + 3 = 878,933 \)
- Answer: \( 878,933 \)

#### 8) \( 300,000 + 80,000 + 6,000 + 400 + 50 + 1 \)
- Breakdown:
- Hundred-thousands: \( 300,000 \)
- Ten-thousands: \( 80,000 \)
- Thousands: \( 6,000 \)
- Hundreds: \( 400 \)
- Tens: \( 50 \)
- Ones: \( 1 \)
- Sum: \( 300,000 + 80,000 + 6,000 + 400 + 50 + 1 = 386,451 \)
- Answer: \( 386,451 \)

#### 9) \( 600,000 + 3,000 + 100 + 60 + 9 \)
- Breakdown:
- Hundred-thousands: \( 600,000 \)
- Ten-thousands: \( 0 \)
- Thousands: \( 3,000 \)
- Hundreds: \( 100 \)
- Tens: \( 60 \)
- Ones: \( 9 \)
- Sum: \( 600,000 + 3,000 + 100 + 60 + 9 = 603,169 \)
- Answer: \( 603,169 \)

#### 10) \( 200,000 + 20,000 + 7,000 + 300 + 40 + 5 \)
- Breakdown:
- Hundred-thousands: \( 200,000 \)
- Ten-thousands: \( 20,000 \)
- Thousands: \( 7,000 \)
- Hundreds: \( 300 \)
- Tens: \( 40 \)
- Ones: \( 5 \)
- Sum: \( 200,000 + 20,000 + 7,000 + 300 + 40 + 5 = 227,345 \)
- Answer: \( 227,345 \)

#### 11) \( 400,000 + 10,000 + 8,000 + 600 + 50 + 4 \)
- Breakdown:
- Hundred-thousands: \( 400,000 \)
- Ten-thousands: \( 10,000 \)
- Thousands: \( 8,000 \)
- Hundreds: \( 600 \)
- Tens: \( 50 \)
- Ones: \( 4 \)
- Sum: \( 400,000 + 10,000 + 8,000 + 600 + 50 + 4 = 418,654 \)
- Answer: \( 418,654 \)

#### 12) \( 800,000 + 90,000 + 3,000 + 800 + 70 + 2 \)
- Breakdown:
- Hundred-thousands: \( 800,000 \)
- Ten-thousands: \( 90,000 \)
- Thousands: \( 3,000 \)
- Hundreds: \( 800 \)
- Tens: \( 70 \)
- Ones: \( 2 \)
- Sum: \( 800,000 + 90,000 + 3,000 + 800 + 70 + 2 = 893,872 \)
- Answer: \( 893,872 \)

#### 13) \( 100,000 + 200 + 40 + 8 \)
- Breakdown:
- Hundred-thousands: \( 100,000 \)
- Ten-thousands: \( 0 \)
- Thousands: \( 0 \)
- Hundreds: \( 200 \)
- Tens: \( 40 \)
- Ones: \( 8 \)
- Sum: \( 100,000 + 200 + 40 + 8 = 100,248 \)
- Answer: \( 100,248 \)

#### 14) \( 900,000 + 40,000 + 2,000 + 80 + 9 \)
- Breakdown:
- Hundred-thousands: \( 900,000 \)
- Ten-thousands: \( 40,000 \)
- Thousands: \( 2,000 \)
- Hundreds: \( 0 \)
- Tens: \( 80 \)
- Ones: \( 9 \)
- Sum: \( 900,000 + 40,000 + 2,000 + 80 + 9 = 942,089 \)
- Answer: \( 942,089 \)

#### 15) \( 600,000 + 50,000 + 4,000 + 100 + 10 + 6 \)
- Breakdown:
- Hundred-thousands: \( 600,000 \)
- Ten-thousands: \( 50,000 \)
- Thousands: \( 4,000 \)
- Hundreds: \( 100 \)
- Tens: \( 10 \)
- Ones: \( 6 \)
- Sum: \( 600,000 + 50,000 + 4,000 + 100 + 10 + 6 = 654,116 \)
- Answer: \( 654,116 \)

Final Answers:

\[
\boxed{
\begin{aligned}
1) & \, 987,221 \\
2) & \, 132,147 \\
3) & \, 260,124 \\
4) & \, 454,565 \\
5) & \, 786,342 \\
6) & \, 545,710 \\
7) & \, 878,933 \\
8) & \, 386,451 \\
9) & \, 603,169 \\
10) & \, 227,345 \\
11) & \, 418,654 \\
12) & \, 893,872 \\
13) & \, 100,248 \\
14) & \, 942,089 \\
15) & \, 654,116
\end{aligned}
}
\]