https://file.aiquickdraw.com/mathbot/file/1727201034933cn02zn4m.jpg

The expression in the image is:

\[
7 \cdot 10 + 2 + 3 \cdot 10^{-1} + 4 \cdot 10^{-2}
\]

Let's break this down step by step:

1. \( 7 \cdot 10 = 70 \)
2. \( 2 = 2 \)
3. \( 3 \cdot 10^{-1} = 3 \cdot 0.1 = 0.3 \)
4. \( 4 \cdot 10^{-2} = 4 \cdot 0.01 = 0.04 \)

Now, adding these together:

\[
70 + 2 + 0.3 + 0.04 = 72.34
\]

Thus, the correct answer is **1) 72.34**.

Would you like further details or have any questions?

Here are 5 related questions to explore this concept further:

1. How would the result change if \( 7 \cdot 10 \) was replaced with \( 7 \cdot 100 \)?
2. What happens to the value if \( 10^{-1} \) is replaced with \( 10^{-2} \)?
3. How do powers of 10 affect calculations in scientific notation?
4. Can you rewrite \( 0.3 + 0.04 \) as a fraction?
5. What is the importance of correctly interpreting negative powers of 10?

**Tip:** Always handle powers of 10 carefully, especially negative powers, as they represent fractional values.

Learn how to solve the expression 7·10 + 2 + 3·10⁻¹ + 4·10⁻² with step-by-step instructions. This problem covers key concepts of powers of 10 and scientific notation. Suitable for students in Grades 8-10.

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