Place Value (Year 2) worksheet - Free Printable

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

#### Instructions:
- Identify the place value (hundreds, tens, or ones) of the underlined digit.
- Identify the digit value (the value of the digit in its place).

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

#### Solutions:

1. a) 250
- Underlined digit: 5
- Place value: tens
- Digit value: 5 × 10 = 50

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

3. c) 907
- Underlined digit: 0
- Place value: tens
- Digit value: 0 × 10 = 0

4. d) 629
- Underlined digit: 2
- Place value: tens
- Digit value: 2 × 10 = 20

#### Completed Table:

| Number | Place value | Digit value |
|--------|-------------|-------------|
| 250 | tens | 50 |
| 310 | tens | 10 |
| 907 | tens | 0 |
| 629 | tens | 20 |

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

#### Instructions:
- Break down each number into its hundreds, tens, and ones components based on the digit value.

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

#### Solutions:

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

2. b) 452
- Hundreds: 400
- Tens: 50
- Ones: 2
- Partition: 400 + 50 + 2

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

#### Completed Answers:

(a) 306 = 300 + 0 + 6
(b) 452 = 400 + 50 + 2
(c) 692 = 600 + 90 + 2

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

#### Instructions:
- Break down each number into its hundreds, tens, and ones components based on the place value.

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

#### Solutions:

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

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

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

#### Completed Answers:

(a) 347 = 3 hundreds + 4 tens + 7 ones
(b) 551 = 5 hundreds + 5 tens + 1 ones
(c) 805 = 8 hundreds + 0 tens + 5 ones

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Final Answer:

Section A:
| Number | Place value | Digit value |
|--------|-------------|-------------|
| 250 | tens | 50 |
| 310 | tens | 10 |
| 907 | tens | 0 |
| 629 | tens | 20 |

Section B:
(a) 306 = 300 + 0 + 6
(b) 452 = 400 + 50 + 2
(c) 692 = 600 + 90 + 2

Section C:
(a) 347 = 3 hundreds + 4 tens + 7 ones
(b) 551 = 5 hundreds + 5 tens + 1 ones
(c) 805 = 8 hundreds + 0 tens + 5 ones

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Section A:} \\
\begin{array}{|c|c|c|}
\hline
\text{Number} & \text{Place value} & \text{Digit value} \\
\hline
250 & \text{tens} & 50 \\
310 & \text{tens} & 10 \\
907 & \text{tens} & 0 \\
629 & \text{tens} & 20 \\
\hline
\end{array} \\
\text{Section B:} \\
(a) \, 306 = 300 + 0 + 6 \\
(b) \, 452 = 400 + 50 + 2 \\
(c) \, 692 = 600 + 90 + 2 \\
\text{Section C:} \\
(a) \, 347 = 3 \text{ hundreds} + 4 \text{ tens} + 7 \text{ ones} \\
(b) \, 551 = 5 \text{ hundreds} + 5 \text{ tens} + 1 \text{ ones} \\
(c) \, 805 = 8 \text{ hundreds} + 0 \text{ tens} + 5 \text{ ones} \\
\end{array}
}
\]