Write the Expanded Form and Number Names - Math Worksheets ... - Free Printable

To solve the problem, we need to write the expanded form and the number name for each given number. Let's break it down step by step.

1. Number: 23,898

#### Expanded Form:
The expanded form shows the value of each digit based on its place value.
- The digit '2' is in the ten-thousands place: \(2 \times 10,000 = 20,000\)
- The digit '3' is in the thousands place: \(3 \times 1,000 = 3,000\)
- The digit '8' is in the hundreds place: \(8 \times 100 = 800\)
- The digit '9' is in the tens place: \(9 \times 10 = 90\)
- The digit '8' is in the ones place: \(8 \times 1 = 8\)

So, the expanded form is:
\[ 20,000 + 3,000 + 800 + 90 + 8 \]

#### Number Name:
To write the number name, we read the number as follows:
- "23" is "twenty-three"
- "898" is "eight hundred ninety-eight"

Thus, the number name is:
\[ \text{Twenty-three thousand eight hundred ninety-eight} \]

---

2. Number: 76,932

#### Expanded Form:
- The digit '7' is in the ten-thousands place: \(7 \times 10,000 = 70,000\)
- The digit '6' is in the thousands place: \(6 \times 1,000 = 6,000\)
- The digit '9' is in the hundreds place: \(9 \times 100 = 900\)
- The digit '3' is in the tens place: \(3 \times 10 = 30\)
- The digit '2' is in the ones place: \(2 \times 1 = 2\)

So, the expanded form is:
\[ 70,000 + 6,000 + 900 + 30 + 2 \]

#### Number Name:
- "76" is "seventy-six"
- "932" is "nine hundred thirty-two"

Thus, the number name is:
\[ \text{Seventy-six thousand nine hundred thirty-two} \]

---

3. Number: 509,194

#### Expanded Form:
- The digit '5' is in the hundred-thousands place: \(5 \times 100,000 = 500,000\)
- The digit '0' is in the ten-thousands place: \(0 \times 10,000 = 0\)
- The digit '9' is in the thousands place: \(9 \times 1,000 = 9,000\)
- The digit '1' is in the hundreds place: \(1 \times 100 = 100\)
- The digit '9' is in the tens place: \(9 \times 10 = 90\)
- The digit '4' is in the ones place: \(4 \times 1 = 4\)

So, the expanded form is:
\[ 500,000 + 0 + 9,000 + 100 + 90 + 4 \]
(Note: We can omit the '0' for simplicity.)

#### Number Name:
- "509" is "five hundred nine"
- "194" is "one hundred ninety-four"

Thus, the number name is:
\[ \text{Five hundred nine thousand one hundred ninety-four} \]

---

4. Number: 111,412

#### Expanded Form:
- The digit '1' is in the hundred-thousands place: \(1 \times 100,000 = 100,000\)
- The digit '1' is in the ten-thousands place: \(1 \times 10,000 = 10,000\)
- The digit '1' is in the thousands place: \(1 \times 1,000 = 1,000\)
- The digit '4' is in the hundreds place: \(4 \times 100 = 400\)
- The digit '1' is in the tens place: \(1 \times 10 = 10\)
- The digit '2' is in the ones place: \(2 \times 1 = 2\)

So, the expanded form is:
\[ 100,000 + 10,000 + 1,000 + 400 + 10 + 2 \]

#### Number Name:
- "111" is "one hundred eleven"
- "412" is "four hundred twelve"

Thus, the number name is:
\[ \text{One hundred eleven thousand four hundred twelve} \]

---

5. Number: 252,009

#### Expanded Form:
- The digit '2' is in the hundred-thousands place: \(2 \times 100,000 = 200,000\)
- The digit '5' is in the ten-thousands place: \(5 \times 10,000 = 50,000\)
- The digit '2' is in the thousands place: \(2 \times 1,000 = 2,000\)
- The digit '0' is in the hundreds place: \(0 \times 100 = 0\)
- The digit '0' is in the tens place: \(0 \times 10 = 0\)
- The digit '9' is in the ones place: \(9 \times 1 = 9\)

So, the expanded form is:
\[ 200,000 + 50,000 + 2,000 + 0 + 0 + 9 \]
(Note: We can omit the '0's for simplicity.)

#### Number Name:
- "252" is "two hundred fifty-two"
- "009" is "nine"

Thus, the number name is:
\[ \text{Two hundred fifty-two thousand nine} \]

---

Final Answers:

1. 23,898
- Expanded Form: \( 20,000 + 3,000 + 800 + 90 + 8 \)
- Number Name: Twenty-three thousand eight hundred ninety-eight

2. 76,932
- Expanded Form: \( 70,000 + 6,000 + 900 + 30 + 2 \)
- Number Name: Seventy-six thousand nine hundred thirty-two

3. 509,194
- Expanded Form: \( 500,000 + 9,000 + 100 + 90 + 4 \)
- Number Name: Five hundred nine thousand one hundred ninety-four

4. 111,412
- Expanded Form: \( 100,000 + 10,000 + 1,000 + 400 + 10 + 2 \)
- Number Name: One hundred eleven thousand four hundred twelve

5. 252,009
- Expanded Form: \( 200,000 + 50,000 + 2,000 + 9 \)
- Number Name: Two hundred fifty-two thousand nine

Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{23,898} & \text{Expanded Form: } 20,000 + 3,000 + 800 + 90 + 8 \\
& \text{Number Name: Twenty-three thousand eight hundred ninety-eight} \\
\text{76,932} & \text{Expanded Form: } 70,000 + 6,000 + 900 + 30 + 2 \\
& \text{Number Name: Seventy-six thousand nine hundred thirty-two} \\
\text{509,194} & \text{Expanded Form: } 500,000 + 9,000 + 100 + 90 + 4 \\
& \text{Number Name: Five hundred nine thousand one hundred ninety-four} \\
\text{111,412} & \text{Expanded Form: } 100,000 + 10,000 + 1,000 + 400 + 10 + 2 \\
& \text{Number Name: One hundred eleven thousand four hundred twelve} \\
\text{252,009} & \text{Expanded Form: } 200,000 + 50,000 + 2,000 + 9 \\
& \text{Number Name: Two hundred fifty-two thousand nine} \\
\end{array}
}
\]