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Let's solve the problem step by step:

You are asked to **add** the numbers in standard index form:
\[
(1.6 \times 10^7) + (3.1 \times 10^8)
\]

### Step 1: Rewrite in terms of the same power of 10.
Since \(10^7\) and \(10^8\) have different exponents, let’s express both terms with the same exponent. We will convert \(1.6 \times 10^7\) to a power of \(10^8\).

\[
1.6 \times 10^7 = 0.16 \times 10^8
\]

Now, the expression becomes:

\[
(0.16 \times 10^8) + (3.1 \times 10^8)
\]

### Step 2: Add the coefficients.
Now, add the two numbers:
\[
0.16 + 3.1 = 3.26
\]

So, the sum is:
\[
3.26 \times 10^8
\]

### Final Answer:
\[
3.26 \times 10^8
\]

Let me know if you have any questions!

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Here are 5 related questions you might be interested in:
1. How do you multiply numbers in standard index form?
2. What are the rules for adding numbers with different exponents?
3. How do you convert between different powers of 10 efficiently?
4. How do you handle subtraction in standard form?
5. What are the typical applications of standard index form in real life?

**Tip:** When adding or subtracting numbers in standard form, always try to express them with the same power of 10 for easy calculation.

Work out (1.6 × 10^7) + (3.1 × 10^8). Give your answer in standard index form.

Learn how to solve the addition problem involving numbers in standard index form (1.6 × 10^7) + (3.1 × 10^8). This detailed step-by-step solution includes converting terms to the same exponent and adding coefficients. Suitable for students in Grades 8-10.

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