Math Problem Statement

Using a calculator, work out (5.1 x 10^5) + (1.4 x 10^4) divided by (3.5 x 10^-4). Give your answer in standard form to 2 significant figures.

Solution

The result of the calculation is 1.50×1091.50 \times 10^9, given in standard form and rounded to 2 significant figures.

Would you like a detailed breakdown of the steps involved, or do you have any further questions?

Here are five related questions to explore further:

  1. How do you add numbers in scientific notation without a calculator?
  2. Why is the order of magnitude important in scientific notation?
  3. What are the rules for rounding to significant figures?
  4. How does multiplying or dividing powers of 10 work in scientific notation?
  5. Can you explain how to convert a large number back from scientific notation to a standard number?

Tip: When working with scientific notation, always handle powers of 10 separately to avoid common mistakes.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Significant Figures
Operations with Powers of Ten

Formulas

Addition and subtraction in scientific notation
Division in scientific notation

Theorems

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Suitable Grade Level

High School