Math Problem Statement
Write these numbers in order, starting with the largest: 6.1 × 10^1, 2.03 × 10^3, 8.79 × 10^-2, 2 × 10^2.
Solution
Let's start by converting all the numbers to their standard decimal form to compare them easily:
- =
- =
- =
- =
Now, let's arrange these values from the largest to the smallest:
- (2030)
- (200)
- (61)
- (0.0879)
Thus, the order from largest to smallest is:
B, D, A, C
Would you like more details or explanations on any step?
Here are five related questions to expand your understanding:
- How do you convert scientific notation into standard decimal form?
- What are the common powers of 10 and how do they scale numbers?
- How would the process change if one of the numbers had a negative exponent?
- Can you explain the difference between positive and negative powers of 10?
- How can scientific notation help simplify comparisons between very large or small numbers?
Tip: To compare numbers in scientific notation, focus on the exponent first; the number with the higher exponent will usually be larger.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponents
Number Comparison
Formulas
Standard form of scientific notation: a × 10^n
Decimal conversion of scientific notation
Theorems
Exponent rules for multiplying and comparing powers of 10
Suitable Grade Level
Grades 6-8