Place value and Digit value activity - Free Printable
Educational worksheet: Place value and Digit value activity. Download and print for classroom or home learning activities.
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Step-by-step solution for: Place value and Digit value activity
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Show Answer Key & Explanations
Step-by-step solution for: Place value and Digit value activity
To solve the problem, we need to determine the Place Value and Digit Value for the underlined digit in each number. Let's go through each part step by step.
1. Place Value: The value of the position of a digit in a number.
- For example, in the number 45,092, the digit "9" is in the tens place, so its place value is 10.
2. Digit Value: The product of the digit and its place value.
- For example, in the number 45,092, the digit "9" has a place value of 10, so its digit value is \(9 \times 10 = 90\).
#### a) Number: 45,092 (Underlined digit: 9)
- Place Value: The digit "9" is in the tens place, so its place value is 10.
- Digit Value: \(9 \times 10 = 90\).
#### b) Number: 13,073 (Underlined digit: 0)
- Place Value: The digit "0" is in the hundreds place, so its place value is 100.
- Digit Value: \(0 \times 100 = 0\).
#### c) Number: 98,734 (Underlined digit: 9)
- Place Value: The digit "9" is in the ten-thousands place, so its place value is 10,000.
- Digit Value: \(9 \times 10,000 = 90,000\).
#### d) Number: 78,110 (Underlined digit: 8)
- Place Value: The digit "8" is in the thousands place, so its place value is 1,000.
- Digit Value: \(8 \times 1,000 = 8,000\).
#### e) Number: 19,106 (Underlined digit: 6)
- Place Value: The digit "6" is in the ones place, so its place value is 1.
- Digit Value: \(6 \times 1 = 6\).
#### f) Number: 88,543 (Underlined digit: 5)
- Place Value: The digit "5" is in the hundreds place, so its place value is 100.
- Digit Value: \(5 \times 100 = 500\).
#### g) Number: 31,615 (Underlined digit: 6)
- Place Value: The digit "6" is in the hundreds place, so its place value is 100.
- Digit Value: \(6 \times 100 = 600\).
#### h) Number: 9,982 (Underlined digit: 9)
- Place Value: The digit "9" is in the thousands place, so its place value is 1,000.
- Digit Value: \(9 \times 1,000 = 9,000\).
#### i) Number: 15,013 (Underlined digit: 5)
- Place Value: The digit "5" is in the thousands place, so its place value is 1,000.
- Digit Value: \(5 \times 1,000 = 5,000\).
#### j) Number: 57,734 (Underlined digit: 7)
- Place Value: The digit "7" is in the hundreds place, so its place value is 100.
- Digit Value: \(7 \times 100 = 700\).
\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Number} & \text{Place Value} & \text{Digit Value} \\
\hline
a & 45,092 & 10 & 90 \\
b & 13,073 & 100 & 0 \\
c & 98,734 & 10,000 & 90,000 \\
d & 78,110 & 1,000 & 8,000 \\
e & 19,106 & 1 & 6 \\
f & 88,543 & 100 & 500 \\
g & 31,615 & 100 & 600 \\
h & 9,982 & 1,000 & 9,000 \\
i & 15,013 & 1,000 & 5,000 \\
j & 57,734 & 100 & 700 \\
\hline
\end{array}
\]
\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{Number} & \text{Place Value} & \text{Digit Value} \\
\hline
a & 45,092 & 10 & 90 \\
b & 13,073 & 100 & 0 \\
c & 98,734 & 10,000 & 90,000 \\
d & 78,110 & 1,000 & 8,000 \\
e & 19,106 & 1 & 6 \\
f & 88,543 & 100 & 500 \\
g & 31,615 & 100 & 600 \\
h & 9,982 & 1,000 & 9,000 \\
i & 15,013 & 1,000 & 5,000 \\
j & 57,734 & 100 & 700 \\
\hline
\end{array}
}
Definitions:
1. Place Value: The value of the position of a digit in a number.
- For example, in the number 45,092, the digit "9" is in the tens place, so its place value is 10.
2. Digit Value: The product of the digit and its place value.
- For example, in the number 45,092, the digit "9" has a place value of 10, so its digit value is \(9 \times 10 = 90\).
Solution:
#### a) Number: 45,092 (Underlined digit: 9)
- Place Value: The digit "9" is in the tens place, so its place value is 10.
- Digit Value: \(9 \times 10 = 90\).
#### b) Number: 13,073 (Underlined digit: 0)
- Place Value: The digit "0" is in the hundreds place, so its place value is 100.
- Digit Value: \(0 \times 100 = 0\).
#### c) Number: 98,734 (Underlined digit: 9)
- Place Value: The digit "9" is in the ten-thousands place, so its place value is 10,000.
- Digit Value: \(9 \times 10,000 = 90,000\).
#### d) Number: 78,110 (Underlined digit: 8)
- Place Value: The digit "8" is in the thousands place, so its place value is 1,000.
- Digit Value: \(8 \times 1,000 = 8,000\).
#### e) Number: 19,106 (Underlined digit: 6)
- Place Value: The digit "6" is in the ones place, so its place value is 1.
- Digit Value: \(6 \times 1 = 6\).
#### f) Number: 88,543 (Underlined digit: 5)
- Place Value: The digit "5" is in the hundreds place, so its place value is 100.
- Digit Value: \(5 \times 100 = 500\).
#### g) Number: 31,615 (Underlined digit: 6)
- Place Value: The digit "6" is in the hundreds place, so its place value is 100.
- Digit Value: \(6 \times 100 = 600\).
#### h) Number: 9,982 (Underlined digit: 9)
- Place Value: The digit "9" is in the thousands place, so its place value is 1,000.
- Digit Value: \(9 \times 1,000 = 9,000\).
#### i) Number: 15,013 (Underlined digit: 5)
- Place Value: The digit "5" is in the thousands place, so its place value is 1,000.
- Digit Value: \(5 \times 1,000 = 5,000\).
#### j) Number: 57,734 (Underlined digit: 7)
- Place Value: The digit "7" is in the hundreds place, so its place value is 100.
- Digit Value: \(7 \times 100 = 700\).
Final Answer:
\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Number} & \text{Place Value} & \text{Digit Value} \\
\hline
a & 45,092 & 10 & 90 \\
b & 13,073 & 100 & 0 \\
c & 98,734 & 10,000 & 90,000 \\
d & 78,110 & 1,000 & 8,000 \\
e & 19,106 & 1 & 6 \\
f & 88,543 & 100 & 500 \\
g & 31,615 & 100 & 600 \\
h & 9,982 & 1,000 & 9,000 \\
i & 15,013 & 1,000 & 5,000 \\
j & 57,734 & 100 & 700 \\
\hline
\end{array}
\]
\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{Number} & \text{Place Value} & \text{Digit Value} \\
\hline
a & 45,092 & 10 & 90 \\
b & 13,073 & 100 & 0 \\
c & 98,734 & 10,000 & 90,000 \\
d & 78,110 & 1,000 & 8,000 \\
e & 19,106 & 1 & 6 \\
f & 88,543 & 100 & 500 \\
g & 31,615 & 100 & 600 \\
h & 9,982 & 1,000 & 9,000 \\
i & 15,013 & 1,000 & 5,000 \\
j & 57,734 & 100 & 700 \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of value of digit worksheet.