Math Problem Statement

(5.62 × 10^8) + (6.7 × 10^5)

Solution

The image shows the expression (5.62×108)+(6.7×105)(5.62 \times 10^8) + (6.7 \times 10^5). Let's solve this step by step.

  1. Convert both terms to their full decimal forms:
  • 5.62×108=562,000,0005.62 \times 10^8 = 562,000,000
  • 6.7×105=670,0006.7 \times 10^5 = 670,000
  1. Add these two values:

562,000,000+670,000=562,670,000562,000,000 + 670,000 = 562,670,000

So, (5.62×108)+(6.7×105)=562,670,000(5.62 \times 10^8) + (6.7 \times 10^5) = 562,670,000.

Would you like more details or explanations on this?

Here are five related questions:

  1. How do you convert numbers in scientific notation to decimal form?
  2. What are the rules for adding numbers in scientific notation directly?
  3. How can we express the sum back in scientific notation?
  4. What is the importance of aligning exponents before addition?
  5. How does scientific notation simplify calculations with very large or small numbers?

Tip: When adding numbers in scientific notation, converting them to the same exponent makes it easier to handle the operation.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Addition of Large Numbers

Formulas

Scientific notation: a × 10^n
Addition: (a × 10^n) + (b × 10^m)

Theorems

Scientific Notation Simplification
Decimal Addition

Suitable Grade Level

Grades 9-10