https://file.aiquickdraw.com/mathbot/file/1730729134861prpk0y2w.jpg

To solve the expression \( (5 \times 10^8) + (2 \times 10^7) \) and give the answer in standard form, let’s go through the steps:

### Step 1: Rewrite \(5 \times 10^8\) in terms of \(10^7\)
Given that:
\[
5 \times 10^8 = 50 \times 10^7
\]
we can substitute \(5 \times 10^8\) with \(50 \times 10^7\).

### Step 2: Substitute and simplify
Now we have:
\[
(50 \times 10^7) + (2 \times 10^7)
\]

### Step 3: Combine terms
Both terms are now in terms of \(10^7\), so we can add them directly:
\[
50 \times 10^7 + 2 \times 10^7 = (50 + 2) \times 10^7 = 52 \times 10^7
\]

### Step 4: Express in standard form
In standard form, we want a single digit to the left of the decimal point. So we rewrite \(52 \times 10^7\) as:
\[
5.2 \times 10^8
\]

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

Would you like further details on any step or have any questions?

### Related Questions
1. How do you convert numbers into standard form?
2. Why do we need the same power of ten to add terms in scientific notation?
3. How do you simplify expressions involving powers of ten?
4. What is the standard form of a number and why is it useful?
5. How can we multiply or divide terms in scientific notation?

### Tip
When adding numbers in scientific notation, always ensure that the powers of ten are the same before combining coefficients.

Given that 5 × 10^8 = 50 × 10^7, work out (5 × 10^8) + (2 × 10^7). Give your answer in standard form.

Learn how to solve (5 × 10^8) + (2 × 10^7) by expressing it in standard form. This math problem covers concepts of scientific notation and powers of ten, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation