Which expression is equivalent to the given expression?

(9×106)(1×10−8)+(3×10−8)



To find an equivalent expression to \((9 \times 10^6)(1 \times 10^{-8}) + (3 \times 10^{-8})\), let's break it down step by step:

1. **First, multiply the two terms in the first part of the expression:**

\[
(9 \times 10^6) \times (1 \times 10^{-8}) = 9 \times (10^6 \times 10^{-8}) = 9 \times 10^{-2}
\]

This simplifies to:

\[
9 \times 10^{-2}
\]

2. **Now, add this result to the second part of the expression:**

\[
9 \times 10^{-2} + 3 \times 10^{-8}
\]

Since \(10^{-2}\) is much larger than \(10^{-8}\), the expression simplifies without any further combination possible:

\[
9 \times 10^{-2} + 3 \times 10^{-8}
\]

So, the equivalent expression is \(9 \times 10^{-2} + 3 \times 10^{-8}\).

Would you like more details or have any questions?

Here are some related questions:

1. How do you add or subtract expressions in scientific notation with different exponents?
2. What are the rules for multiplying numbers in scientific notation?
3. How do you estimate the order of magnitude of a sum?
4. Why is scientific notation useful in expressing very large or small numbers?
5. Can you provide an example where scientific notation is used in real-world applications?

**Tip:** When working with scientific notation, always perform multiplication and division first before adding or subtracting.

Discover the equivalent expression for (9×10^6)(1×10^(-8)) + (3×10^(-8)) using scientific notation. Learn how to multiply powers of 10 and add numbers in scientific notation step-by-step. Suitable for students in Grades 9-12.

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