Math worksheet for learning place value and digit value of numbers up to 1000.

Problem Explanation and Solution

The worksheet focuses on understanding place value and digit value of numbers up to 1,000. Let's solve each section step by step.

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#### Section A: Write the place value and digit value of the underlined digit

We need to identify the place value (hundreds, tens, or ones) and the digit value (the actual value of the digit in that place) for the underlined digits in the given numbers.

##### Example:
- Number: 416
- Underlined digit: 6
- Place value: ones
- Digit value: 6

##### Solutions:

1. a) 250
- Underlined digit: 2
- Place value: hundreds
- Digit value: 200

2. b) 310
- Underlined digit: 1
- Place value: tens
- Digit value: 10

3. c) 907
- Underlined digit: 9
- Place value: hundreds
- Digit value: 900

4. d) 629
- Underlined digit: 2
- Place value: tens
- Digit value: 20

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#### Section B: Partition each of the following numbers according to the digit value

Here, we need to break down each number into its component parts based on the digit values of hundreds, tens, and ones.

##### Example:
- Number: 249
- Partition: 200 + 40 + 9

##### Solutions:

1. a) 306
- Partition: 300 + 0 + 6

2. b) 452
- Partition: 400 + 50 + 2

3. c) 692
- Partition: 600 + 90 + 2

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#### Section C: Partition each of the following numbers according to the place value

In this section, we need to express each number in terms of its place values (hundreds, tens, and ones).

##### Example:
- Number: 503
- Partition: 5 hundreds + 0 tens + 3 ones

##### Solutions:

1. a) 347
- Partition: 3 hundreds + 4 tens + 7 ones

2. b) 551
- Partition: 5 hundreds + 5 tens + 1 ones

3. c) 805
- Partition: 8 hundreds + 0 tens + 5 ones

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Final Answers:

#### Section A:
- a) Place value: hundreds, Digit value: 200
- b) Place value: tens, Digit value: 10
- c) Place value: hundreds, Digit value: 900
- d) Place value: tens, Digit value: 20

#### Section B:
- a) 300 + 0 + 6
- b) 400 + 50 + 2
- c) 600 + 90 + 2

#### Section C:
- a) 3 hundreds + 4 tens + 7 ones
- b) 5 hundreds + 5 tens + 1 ones
- c) 8 hundreds + 0 tens + 5 ones

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Section A:} \\
\text{a) Place value: hundreds, Digit value: 200} \\
\text{b) Place value: tens, Digit value: 10} \\
\text{c) Place value: hundreds, Digit value: 900} \\
\text{d) Place value: tens, Digit value: 20} \\
\\
\text{Section B:} \\
\text{a) 300 + 0 + 6} \\
\text{b) 400 + 50 + 2} \\
\text{c) 600 + 90 + 2} \\
\\
\text{Section C:} \\
\text{a) 3 hundreds + 4 tens + 7 ones} \\
\text{b) 5 hundreds + 5 tens + 1 ones} \\
\text{c) 8 hundreds + 0 tens + 5 ones}
\end{array}
}
\]