Math Problem Statement
Order the numbers from least to greatest: 3.85 x 10^2, 38,500, 2.8 x 10^3, 3.85 x 10^3, 280,000, 2.8 x 10^4, 2.8, 38.5
Solution
Let's evaluate and arrange the numbers in order from least to greatest. First, we need to convert each number into standard notation.
Here are the numbers provided:
Now, let's list them all in standard form:
- 385
- 38,500
- 2,800
- 3,850
- 280,000
- 28,000
- 2.8
- 38.5
Ordering them from least to greatest:
The correct order is:
- 2.8
- 38.5
- 385
- 2,800
- 3,850
- 28,000
- 38,500
- 280,000
Would you like any further explanation on this?
Here are five related questions to explore:
- How do you convert numbers from scientific notation to standard form?
- What is the general approach to comparing numbers in different formats?
- How can scientific notation be used to simplify comparisons of very large or small numbers?
- Why is it important to be able to order numbers from least to greatest in practical scenarios?
- How do logarithmic scales relate to scientific notation?
Tip: When comparing numbers in scientific notation, first look at the exponents. If the exponents are equal, then compare the base values.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Standard Form
Ordering Numbers
Formulas
Scientific Notation Conversion: a × 10^n = standard form
Theorems
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Suitable Grade Level
Grades 6-8