Math Problem Statement
When Wayne solved a problem with his calculator, he got this answer: 9.1E-2. Which expressions are equivalent to the answer he got? Select all that apply.
Solution
The given answer from the calculator is 9.1E-2, which means 9.1 × 10⁻² in scientific notation. This is equivalent to:
Now, let's analyze the given answer choices:
- 9.1 × 10⁻² ✅ (Correct, as it matches the given value)
- 0.091 ✅ (Correct, as it's the decimal equivalent of 9.1 × 10⁻²)
- 9.1⁻² ❌ (Incorrect, since 9.1⁻² means 1 / (9.1²), which is not 0.091)
- 0.012 ❌ (Incorrect, as 0.012 is not equal to 0.091)
- -18.2 ❌ (Incorrect, completely unrelated value)
- 9.1 · 10⁻² ✅ (Correct, as it's another way of writing 9.1 × 10⁻²)
Correct Answers:
✔ 9.1 × 10⁻²
✔ 0.091
✔ 9.1 · 10⁻²
Do you want further clarification on any step?
Related Questions:
- How do you convert scientific notation to decimal form?
- Why is 9.1⁻² not equivalent to 9.1 × 10⁻²?
- How do negative exponents work in mathematical expressions?
- What are some common mistakes when interpreting scientific notation?
- How do you convert a decimal number back into scientific notation?
Tip:
When converting scientific notation to decimal, remember that 10⁻² means dividing by 100, 10⁻³ means dividing by 1000, and so on.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Negative Exponents
Decimal Conversion
Formulas
Scientific Notation: a × 10^n
Negative Exponents: x^-n = 1 / (x^n)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 6-8