Math worksheet for writing multi-digit numbers in Base-Ten, Number Names, and Expanded Form.

Problem:

The task is to write the given multi-digit whole numbers in three different ways:
1. Base-Ten Numerals
2. Number Names
3. Expanded Form

#### Given Numbers:
1. 1,356
2. 22,507

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Solution:

#### Step 1: Analyze the Format Requirements
- Base-Ten Numerals: The number as it is written (e.g., 1,356).
- Number Names: The number written out in words (e.g., one thousand three hundred fifty-six).
- Expanded Form: The number broken down into its place values (e.g., \(1,000 + 300 + 50 + 6\)).

#### Step 2: Solve for Each Number

##### Number 1: 1,356

1. Base-Ten Numerals:
- The number is already in base-ten form.
- Answer: \(1,356\)

2. Number Names:
- Break down the number into its place values:
- Thousands: 1 (one thousand)
- Hundreds: 3 (three hundred)
- Tens: 5 (fifty)
- Ones: 6 (six)
- Combine these parts into a single phrase.
- Answer: One thousand three hundred fifty-six

3. Expanded Form:
- Write the number as the sum of its place values:
- Thousands: \(1 \times 1,000 = 1,000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(5 \times 10 = 50\)
- Ones: \(6 \times 1 = 6\)
- Combine these parts with addition.
- Answer: \(1,000 + 300 + 50 + 6\)

##### Number 2: 22,507

1. Base-Ten Numerals:
- The number is already in base-ten form.
- Answer: \(22,507\)

2. Number Names:
- Break down the number into its place values:
- Ten thousands: 2 (twenty thousand)
- Thousands: 2 (two thousand)
- Hundreds: 5 (five hundred)
- Tens: 0 (zero tens)
- Ones: 7 (seven)
- Combine these parts into a single phrase.
- Answer: Twenty-two thousand five hundred seven

3. Expanded Form:
- Write the number as the sum of its place values:
- Ten thousands: \(2 \times 10,000 = 20,000\)
- Thousands: \(2 \times 1,000 = 2,000\)
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(0 \times 10 = 0\)
- Ones: \(7 \times 1 = 7\)
- Combine these parts with addition.
- Answer: \(20,000 + 2,000 + 500 + 0 + 7\)

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Final Answers:

1. 1,356
- Base-Ten Numerals: \(\boxed{1,356}\)
- Number Names: \(\boxed{\text{One thousand three hundred fifty-six}}\)
- Expanded Form: \(\boxed{1,000 + 300 + 50 + 6}\)

2. 22,507
- Base-Ten Numerals: \(\boxed{22,507}\)
- Number Names: \(\boxed{\text{Twenty-two thousand five hundred seven}}\)
- Expanded Form: \(\boxed{20,000 + 2,000 + 500 + 0 + 7}\)