# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-10/13

Exercises: Try Out - Set 10: Real exam simulation to sharpen your skills and build confidence. - Ordering Numbers

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## Exercise 13

### Question

export const metadata = {
  title: "Ordering Numbers",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

The correct order of the numbers below from largest to smallest is...

<MathContainer>
  <BlockMath math="\frac{3}{4}; 0.875; 1\frac{1}{8}; 12.5\%; \frac{1}{\sqrt{2}}" />
</MathContainer>


### Choices

- [x] $$1\frac{1}{8}; 0.875; \frac{3}{4}; \frac{1}{\sqrt{2}}; 12.5\%$$
- [ ] $$1\frac{1}{8}; \frac{3}{4}; \frac{1}{\sqrt{2}}; 12.5\%; 0.875$$
- [ ] $$1\frac{1}{8}; 0.875; 12.5\%; \frac{3}{4}; \frac{1}{\sqrt{2}}$$
- [ ] $$0.875; 1\frac{1}{8}; \frac{3}{4}; \frac{1}{\sqrt{2}}; 12.5\%$$
- [ ] $$\frac{1}{\sqrt{2}}; 1\frac{1}{8}; 0.875; \frac{3}{4}; 12.5\%$$

### Answer & Explanation

export const metadata = {
   title: "Ordering Numbers",
   authors: [{ name: "Nabil Akbarazzima Fatih" }],
   date: "12/27/2025",
};

To order these numbers, we can convert all of them into decimal form for easier comparison.

<MathContainer>
  <BlockMath math="1\frac{1}{8} = 1 + 0.125 = 1.125" />
  <BlockMath math="0.875 = 0.875" />
  <BlockMath math="\frac{3}{4} = 0.75" />
  <BlockMath math="\frac{1}{\sqrt{2}} = \frac{1}{1.414} \approx 0.707" />
  <BlockMath math="12.5\% = \frac{12.5}{100} = 0.125" />
</MathContainer>

Now we order them from largest to smallest:

<MathContainer>
  <BlockMath math="1.125 > 0.875 > 0.75 > 0.707 > 0.125" />
</MathContainer>

So the correct order is:

<MathContainer>
  <BlockMath math="1\frac{1}{8}; 0.875; \frac{3}{4}; \frac{1}{\sqrt{2}}; 12.5\%" />
</MathContainer>


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