Face Value and Place Value worksheet - Free Printable

Problem Explanation and Solution

The worksheet focuses on understanding place values (hundreds, tens, and ones) and applying this knowledge to solve problems. Let's break down each section step by step.

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Section 1: Give the expanded form of the following numbers

#### Task: Write the expanded form of the given numbers in terms of hundreds, tens, and ones.

#### Solution:
- A. 148
- Hundreds: 1
- Tens: 4
- Ones: 8
- Answer: 1 hundred 4 tens 8 ones

- B. 346
- Hundreds: 3
- Tens: 4
- Ones: 6
- Answer: 3 hundred 4 tens 6 ones

- C. 584
- Hundreds: 5
- Tens: 8
- Ones: 4
- Answer: 5 hundred 8 tens 4 ones

- D. 739
- Hundreds: 7
- Tens: 3
- Ones: 9
- Answer: 7 hundred 3 tens 9 ones

- E. 963
- Hundreds: 9
- Tens: 6
- Ones: 3
- Answer: 9 hundred 6 tens 3 ones

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Section 2: Write the face value and place value of the coloured digit in each number

#### Task: Identify the face value and place value of the colored digit in each number.

#### Explanation:
- Face Value: The face value of a digit is the value of the digit itself.
- Place Value: The place value depends on the position of the digit in the number (hundreds, tens, or ones).

#### Solution:

1. Number: 451
- Colored digit: 5 (tens place)
- Face value: 5
- Place value: 5 × 10 = 50
- Answer: Face value = 5, Place value = 50

2. Number: 502
- Colored digit: 0 (tens place)
- Face value: 0
- Place value: 0 × 10 = 0
- Answer: Face value = 0, Place value = 0

3. Number: 995
- Colored digit: 9 (hundreds place)
- Face value: 9
- Place value: 9 × 100 = 900
- Answer: Face value = 9, Place value = 900

4. Number: 285
- Colored digit: 8 (tens place)
- Face value: 8
- Place value: 8 × 10 = 80
- Answer: Face value = 8, Place value = 80

5. Number: 836
- Colored digit: 8 (hundreds place)
- Face value: 8
- Place value: 8 × 100 = 800
- Answer: Face value = 8, Place value = 800

6. Number: 758
- Colored digit: 5 (tens place)
- Face value: 5
- Place value: 5 × 10 = 50
- Answer: Face value = 5, Place value = 50

7. Number: 843
- Colored digit: 8 (hundreds place)
- Face value: 8
- Place value: 8 × 100 = 800
- Answer: Face value = 8, Place value = 800

8. Number: 586
- Colored digit: 8 (tens place)
- Face value: 8
- Place value: 8 × 10 = 80
- Answer: Face value = 8, Place value = 80

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Section 3: Cross out the largest number

#### Task: Identify and cross out the largest number in each set.

#### Solution:

1. Set A: 432, 623, 196, 370
- Compare the numbers:
- 432
- 623
- 196
- 370
- The largest number is 623.
- Answer: Cross out 623.

2. Set B: 623, 197, 820, 109
- Compare the numbers:
- 623
- 197
- 820
- 109
- The largest number is 820.
- Answer: Cross out 820.

3. Set C: 947, 186, 299, 426
- Compare the numbers:
- 947
- 186
- 299
- 426
- The largest number is 947.
- Answer: Cross out 947.

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Final Answers

1. Expanded Form:
- A. 1 hundred 4 tens 8 ones
- B. 3 hundred 4 tens 6 ones
- C. 5 hundred 8 tens 4 ones
- D. 7 hundred 3 tens 9 ones
- E. 9 hundred 6 tens 3 ones

2. Face Value and Place Value:
- 451: Face value = 5, Place value = 50
- 502: Face value = 0, Place value = 0
- 995: Face value = 9, Place value = 900
- 285: Face value = 8, Place value = 80
- 836: Face value = 8, Place value = 800
- 758: Face value = 5, Place value = 50
- 843: Face value = 8, Place value = 800
- 586: Face value = 8, Place value = 80

3. Largest Numbers:
- A. Cross out 623
- B. Cross out 820
- C. Cross out 947

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Boxed Final Answer

\[
\boxed{
\begin{array}{l}
\text{1. Expanded Form:} \\
\text{A. 1 hundred 4 tens 8 ones} \\
\text{B. 3 hundred 4 tens 6 ones} \\
\text{C. 5 hundred 8 tens 4 ones} \\
\text{D. 7 hundred 3 tens 9 ones} \\
\text{E. 9 hundred 6 tens 3 ones} \\
\\
\text{2. Face Value and Place Value:} \\
\text{451: Face value = 5, Place value = 50} \\
\text{502: Face value = 0, Place value = 0} \\
\text{995: Face value = 9, Place value = 900} \\
\text{285: Face value = 8, Place value = 80} \\
\text{836: Face value = 8, Place value = 800} \\
\text{758: Face value = 5, Place value = 50} \\
\text{843: Face value = 8, Place value = 800} \\
\text{586: Face value = 8, Place value = 80} \\
\\
\text{3. Largest Numbers:} \\
\text{A. Cross out 623} \\
\text{B. Cross out 820} \\
\text{C. Cross out 947} \\
\end{array}
}
\]