Place value and Digit value activity - Free Printable

Problem Explanation:

The task requires us to determine the Place Value and Digit Value for the underlined digit in each given number. Let's break down the concepts:

1. Place Value: This refers to the value of the position of a digit in a number. For example, in the number 45092, the digit "9" is in the tens place, so its place value is "tens."

2. Digit Value: This is the actual value contributed by the digit based on its place value. For example, if the digit "9" is in the tens place, its digit value is \(9 \times 10 = 90\).

Solution:

We will analyze each number step by step:

#### a. Number: 45092 (Underlined digit: 9)
- Place Value: The digit "9" is in the tens place.
- Digit Value: \(9 \times 10 = 90\)

#### b. Number: 13073 (Underlined digit: 0)
- Place Value: The digit "0" is in the hundreds place.
- Digit Value: \(0 \times 100 = 0\)

#### c. Number: 98734 (Underlined digit: 9)
- Place Value: The digit "9" is in the ten-thousands place.
- Digit Value: \(9 \times 10000 = 90000\)

#### d. Number: 78110 (Underlined digit: 7)
- Place Value: The digit "7" is in the ten-thousands place.
- Digit Value: \(7 \times 10000 = 70000\)

#### e. Number: 19106 (Underlined digit: 6)
- Place Value: The digit "6" is in the ones place.
- Digit Value: \(6 \times 1 = 6\)

#### f. Number: 88543 (Underlined digit: 5)
- Place Value: The digit "5" is in the hundreds place.
- Digit Value: \(5 \times 100 = 500\)

#### g. Number: 31615 (Underlined digit: 6)
- Place Value: The digit "6" is in the hundreds place.
- Digit Value: \(6 \times 100 = 600\)

#### h. Number: 9982 (Underlined digit: 9)
- Place Value: The digit "9" is in the thousands place.
- Digit Value: \(9 \times 1000 = 9000\)

#### i. Number: 15013 (Underlined digit: 1)
- Place Value: The digit "1" is in the ten-thousands place.
- Digit Value: \(1 \times 10000 = 10000\)

#### j. Number: 57734 (Underlined digit: 7)
- Place Value: The digit "7" is in the hundreds place.
- Digit Value: \(7 \times 100 = 700\)

Final Answer:

\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Number} & \text{Place Value} & \text{Digit Value} \\
\hline
a & 45092 & \text{Tens} & 90 \\
b & 13073 & \text{Hundreds} & 0 \\
c & 98734 & \text{Ten-thousands} & 90000 \\
d & 78110 & \text{Ten-thousands} & 70000 \\
e & 19106 & \text{Ones} & 6 \\
f & 88543 & \text{Hundreds} & 500 \\
g & 31615 & \text{Hundreds} & 600 \\
h & 9982 & \text{Thousands} & 9000 \\
i & 15013 & \text{Ten-thousands} & 10000 \\
j & 57734 & \text{Hundreds} & 700 \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{Number} & \text{Place Value} & \text{Digit Value} \\
\hline
a & 45092 & \text{Tens} & 90 \\
b & 13073 & \text{Hundreds} & 0 \\
c & 98734 & \text{Ten-thousands} & 90000 \\
d & 78110 & \text{Ten-thousands} & 70000 \\
e & 19106 & \text{Ones} & 6 \\
f & 88543 & \text{Hundreds} & 500 \\
g & 31615 & \text{Hundreds} & 600 \\
h & 9982 & \text{Thousands} & 9000 \\
i & 15013 & \text{Ten-thousands} & 10000 \\
j & 57734 & \text{Hundreds} & 700 \\
\hline
\end{array}
}