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The question asks which sign makes the following statement true:

\[
3.783 \times 10^5 \quad \text{?} \quad 3.783 \times 10^3
\]

To solve this, let's compare the two numbers by evaluating their magnitudes.

1. **Left-hand side**:
   \[
   3.783 \times 10^5 = 378,300
   \]
   
2. **Right-hand side**:
   \[
   3.783 \times 10^3 = 3,783
   \]

Clearly, \( 378,300 \) is larger than \( 3,783 \).

Thus, the correct sign is:

\[
3.783 \times 10^5 > 3.783 \times 10^3
\]

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you convert a number in scientific notation into standard form?
2. What are the rules for comparing numbers in scientific notation?
3. How does the exponent in scientific notation affect the size of a number?
4. Can two numbers with the same base but different exponents ever be equal?
5. What is the significance of the base number in scientific notation?

**Tip**: When comparing numbers in scientific notation, focus on the exponent first; larger exponents result in larger numbers if the base is the same.

Which sign makes the statement true? 3.783 × 10^5 ? 3.783 × 10^3

Learn how to compare numbers in scientific notation, focusing on the powers of 10. For example, compare 3.783 × 10^5 with 3.783 × 10^3. Understand how the exponent affects the magnitude of the number. Suitable for Grades 7-9.

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