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To write 456 in expanded notation using powers of 10, we break the number into its place values and express each as a product of a coefficient and a power of 10.

### Expanded Notation for 456:

- \( 4 \) is in the hundreds place: \( 4 \times 10^2 \)
- \( 5 \) is in the tens place: \( 5 \times 10^1 \)
- \( 6 \) is in the ones place: \( 6 \times 10^0 \)

Thus, the expanded form of 456 using powers of 10 is:

\[
456 = (4 \times 10^2) + (5 \times 10^1) + (6 \times 10^0)
\]

Would you like any more details or explanations on this?

Here are some related questions:
1. What is the expanded form of 789 using powers of 10?
2. How would you express the number 304 in expanded form with powers of 10?
3. What are powers of 10 and how do they work in expanded notation?
4. Can you express decimal numbers in expanded notation using powers of 10?
5. How does expanded notation differ for numbers with zeros in their digits?

**Tip:** Expanded notation helps in understanding the place value of digits in a number by clearly showing how each digit contributes to the whole number.

Write 456 in expanded notation using powers of 10.

Learn how to write the number 456 in expanded notation using powers of 10. This problem demonstrates the place value of digits and how they can be expressed as powers of 10. Suitable for students in Grades 3-5.

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