The task is to write the expanded form of the given numbers. The expanded form of a number breaks it down into the value of each digit based on its place value (hundreds, tens, and ones).
Place Value Recap:
-
Hundreds place: The digit in the hundreds place represents how many groups of 100.
-
Tens place: The digit in the tens place represents how many groups of 10.
-
Ones place: The digit in the ones place represents how many individual units.
Example:
For the number
312:
- The digit
3 is in the hundreds place: \(3 \times 100 = 300\)
- The digit
1 is in the tens place: \(1 \times 10 = 10\)
- The digit
2 is in the ones place: \(2 \times 1 = 2\)
So, the expanded form of
312 is:
\[ 300 + 10 + 2 \]
Solution for Each Number:
1.
312:
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(1 \times 10 = 10\)
- Ones: \(2 \times 1 = 2\)
- Expanded form:
300 + 10 + 2
2.
768:
- Hundreds: \(7 \times 100 = 700\)
- Tens: \(6 \times 10 = 60\)
- Ones: \(8 \times 1 = 8\)
- Expanded form:
700 + 60 + 8
3.
463:
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(6 \times 10 = 60\)
- Ones: \(3 \times 1 = 3\)
- Expanded form:
400 + 60 + 3
4.
854:
- Hundreds: \(8 \times 100 = 800\)
- Tens: \(5 \times 10 = 50\)
- Ones: \(4 \times 1 = 4\)
- Expanded form:
800 + 50 + 4
5.
907:
- Hundreds: \(9 \times 100 = 900\)
- Tens: \(0 \times 10 = 0\)
- Ones: \(7 \times 1 = 7\)
- Expanded form:
900 + 0 + 7
6.
821:
- Hundreds: \(8 \times 100 = 800\)
- Tens: \(2 \times 10 = 20\)
- Ones: \(1 \times 1 = 1\)
- Expanded form:
800 + 20 + 1
7.
626:
- Hundreds: \(6 \times 100 = 600\)
- Tens: \(2 \times 10 = 20\)
- Ones: \(6 \times 1 = 6\)
- Expanded form:
600 + 20 + 6
8.
415:
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(1 \times 10 = 10\)
- Ones: \(5 \times 1 = 5\)
- Expanded form:
400 + 10 + 5
9.
781:
- Hundreds: \(7 \times 100 = 700\)
- Tens: \(8 \times 10 = 80\)
- Ones: \(1 \times 1 = 1\)
- Expanded form:
700 + 80 + 1
Final Answer:
\[
\boxed{
\begin{aligned}
312 & : 300 + 10 + 2 \\
768 & : 700 + 60 + 8 \\
463 & : 400 + 60 + 3 \\
854 & : 800 + 50 + 4 \\
907 & : 900 + 0 + 7 \\
821 & : 800 + 20 + 1 \\
626 & : 600 + 20 + 6 \\
415 & : 400 + 10 + 5 \\
781 & : 700 + 80 + 1
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place value worksheet expanded and word form.
