2. Which is greater $$ \frac{-9}{20} $$ or - 0.5 Explain how numbers on a number line.

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UpStudy AI · Accepted Answer

To determine which number is greater between $$ \frac{-9}{20} $$ and -0.5, we can follow these steps:

1. **Convert -0.5 to a fraction**: 
   - The decimal -0.5 can be expressed as a fraction. Since -0.5 is equivalent to $$-\frac{1}{2}$$, we can compare $$\frac{-9}{20}$$ and $$-\frac{1}{2}$$.

2. **Find a common denominator**: 
   - The denominators of the two fractions are 20 and 2. The least common denominator (LCD) is 20. We can convert $$-\frac{1}{2}$$ to a fraction with a denominator of 20:
   $$
   -\frac{1}{2} = -\frac{1 \times 10}{2 \times 10} = -\frac{10}{20}
   $$

3. **Compare the two fractions**: 
   - Now we have:
     - $$ \frac{-9}{20} $$
     - $$ -\frac{10}{20} $$
   - To compare these fractions, we can look at their numerators since they have the same denominator:
     - $$-9$$ (from $$\frac{-9}{20}$$) and $$-10$$ (from $$-\frac{10}{20}$$).

4. **Determine which is greater**: 
   - On the number line, a number with a smaller negative value is greater. Since $$-9$$ is greater than $$-10$$, we conclude that:
   $$
   \frac{-9}{20} > -\frac{10}{20}
   $$

Thus, $$ \frac{-9}{20} $$ is greater than -0.5.

### Conclusion:
- Therefore, $$ \frac{-9}{20} $$ is greater than -0.5.
$$ \frac{-9}{20} $$ is greater than -0.5.

Which is greater or - 0.5 Explain how
numbers on a number line.

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Which is greater or - 0.5 Explain how numbers on a number line.