Math Problem Statement
Order the following scientific notation values from smallest to largest:
1. 2.5 × 10⁻⁶
2. 1.7 × 10⁻⁶
3. 5.3 × 10⁻⁵
4. 2.5 × 10⁻⁵
5. 5.3 × 10⁻⁴
Solution
From the image, the problem asks to order the given scientific notations from smallest to largest. Let's analyze the values:
Given values:
Step-by-step:
- Compare the powers of 10. A smaller exponent corresponds to a smaller value (e.g., ).
- Within the same power of 10, compare the coefficients (e.g., for , ).
Ordered values:
- (smallest)
- (largest)
Final answer:
Would you like further explanation on scientific notation or help with another topic?
Here are some follow-up questions:
- How is the placement of numbers in scientific notation affected by the exponent?
- Why does the coefficient matter when the exponent is the same?
- What is a real-world application of ordering numbers in scientific notation?
- Can you explain why is smaller than ?
- How do you multiply and divide numbers in scientific notation?
Tip: Always start by comparing exponents when ordering numbers in scientific notation.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Ordering Numbers
Exponents
Formulas
Scientific Notation Comparison: Compare exponents first, then coefficients
Theorems
-
Suitable Grade Level
Grades 6-8