Express the number 609.23 as a sum of ten-power

To express the number \(609.23\) as a sum of powers of ten, we break it down according to its place values:

\[
609.23 = 6 \times 10^2 + 0 \times 10^1 + 9 \times 10^0 + 2 \times 10^{-1} + 3 \times 10^{-2}
\]

So, the expression is:

\[
609.23 = 6 \times 100 + 0 \times 10 + 9 \times 1 + 2 \times 0.1 + 3 \times 0.01
\]

Or, more explicitly:

\[
609.23 = 600 + 0 + 9 + 0.2 + 0.03
\]

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Here are 5 related questions to explore further:
1. How would you express a negative number as a sum of powers of ten?
2. What is the sum of powers of ten representation of 4507.68?
3. How can powers of ten be used to approximate large numbers?
4. What is the significance of each power of ten in scientific notation?
5. How do you express \(0.0045\) as a sum of powers of ten?

**Tip:** Understanding the representation of numbers as sums of powers of ten is fundamental for mastering scientific notation and decimal place value.

Learn how to express the number 609.23 as a sum of powers of ten with detailed step-by-step explanations. This problem covers key mathematical concepts including place value, scientific notation, and decimal representation. Suitable for students in Grades 6-8.

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