what's greater 2.3 times 10 to the power of 2 or 1.78 times 10 to the power of 3

To compare \(2.3 \times 10^2\) and \(1.78 \times 10^3\), let's first calculate the values of each expression:

1. \(2.3 \times 10^2\) means multiplying 2.3 by 100:
   \[
   2.3 \times 100 = 230
   \]

2. \(1.78 \times 10^3\) means multiplying 1.78 by 1000:
   \[
   1.78 \times 1000 = 1780
   \]

Now, we compare 230 and 1780. Clearly, 1780 is greater than 230.

Therefore, \(1.78 \times 10^3\) is greater than \(2.3 \times 10^2\).

Would you like further details or have any questions? Here are some related questions you might find interesting:

1. How do you compare numbers in scientific notation?
2. What is scientific notation, and why is it useful?
3. How do you multiply numbers with exponents?
4. What are some common mistakes when working with powers of ten?
5. How does scientific notation help in solving real-world problems?

**Tip:** When comparing numbers in scientific notation, first check the exponent. The number with the larger exponent is usually greater, unless the coefficients differ significantly.

Explore how to compare numbers in scientific notation with a detailed step-by-step solution. Learn the differences between 2.3 × 10^2 and 1.78 × 10^3, including key concepts in exponents and scientific notation. Perfect for students in Grades 6-8.

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