Homework 1-1: Numbers through one Million - Free Printable

Problem Analysis:

The worksheet focuses on understanding place value and writing numbers in expanded form and their number names. Let's solve each part step by step.

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Task 1: Write six hundred twelve thousand, three hundred in the place-value chart. Then write the number in expanded form.

#### Step 1: Understand the Number
The number is "six hundred twelve thousand, three hundred." This translates to:
- Six hundred twelve thousand = 612,000
- Three hundred = 300

So, the full number is 612,300.

#### Step 2: Place the Digits in the Place-Value Chart
The place-value chart has three periods: millions, thousands, and ones. For the number 612,300:
- The digit 6 goes in the hundred thousands place.
- The digit 1 goes in the ten thousands place.
- The digit 2 goes in the thousands place.
- The digit 3 goes in the hundreds place.
- The digits 0 go in the tens and ones places.

The place-value chart will look like this:
```
millions period | thousands period | ones period
-------------------------------------------------
hundred millions | ten millions | one millions | hundred thousands | ten thousands | one thousands | hundreds | tens | ones
-------------------------------------------------
| | | 6 | 1 | 2 | 3 | 0 | 0
```

#### Step 3: Write the Number in Expanded Form
To write 612,300 in expanded form, break it down by place value:
- 6 in the hundred thousands place = 600,000
- 1 in the ten thousands place = 10,000
- 2 in the thousands place = 2,000
- 3 in the hundreds place = 300
- 0 in the tens place = 0
- 0 in the ones place = 0

So, the expanded form is:
\[ 600,000 + 10,000 + 2,000 + 300 + 0 + 0 \]

#### Final Answer for Task 1:
- Place-value chart:
```
hundred thousands: 6, ten thousands: 1, thousands: 2, hundreds: 3, tens: 0, ones: 0
```
- Expanded form:
\[ 600,000 + 10,000 + 2,000 + 300 \]

---

Task 2: Write 64,672 in expanded form.

#### Step 1: Break Down the Number by Place Value
The number 64,672 can be broken down as follows:
- 6 in the ten thousands place = 60,000
- 4 in the thousands place = 4,000
- 6 in the hundreds place = 600
- 7 in the tens place = 70
- 2 in the ones place = 2

#### Step 2: Write in Expanded Form
Combine these values:
\[ 60,000 + 4,000 + 600 + 70 + 2 \]

#### Final Answer for Task 2:
\[ 60,000 + 4,000 + 600 + 70 + 2 \]

---

Task 3: Write the number name for 92,318.

#### Step 1: Identify Each Place Value
The number 92,318 breaks down as:
- 9 in the ten thousands place
- 2 in the thousands place
- 3 in the hundreds place
- 1 in the tens place
- 8 in the ones place

#### Step 2: Write the Number Name
- 92,000 is "ninety-two thousand."
- 318 is "three hundred eighteen."

Combine these to get the full number name:
"ninety-two thousand, three hundred eighteen"

#### Final Answer for Task 3:
\[ \text{ninety-two thousand, three hundred eighteen} \]

---

Final Answers:

1. Place-value chart:
```
hundred thousands: 6, ten thousands: 1, thousands: 2, hundreds: 3, tens: 0, ones: 0
```
Expanded form:
\[ 600,000 + 10,000 + 2,000 + 300 \]

2. Expanded form for 64,672:
\[ 60,000 + 4,000 + 600 + 70 + 2 \]

3. Number name for 92,318:
\[ \text{ninety-two thousand, three hundred eighteen} \]

Boxed Final Answer:

\[
\boxed{
\begin{aligned}
1. & \text{ Place-value chart: } \text{hundred thousands: 6, ten thousands: 1, thousands: 2, hundreds: 3, tens: 0, ones: 0} \\
& \text{ Expanded form: } 600,000 + 10,000 + 2,000 + 300 \\
2. & \text{ Expanded form: } 60,000 + 4,000 + 600 + 70 + 2 \\
3. & \text{ Number name: } \text{ninety-two thousand, three hundred eighteen}
\end{aligned}
}
\]