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

Ask by Tran Mcguire. in the United States
Mar 14,2025

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is greater than -0.5.

Solución

To determine which number is greater between 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 , we can compare and .
  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 to a fraction with a denominator of 20:
  3. Compare the two fractions:
    • Now we have:
    • To compare these fractions, we can look at their numerators since they have the same denominator:
      • (from ) and (from ).
  4. Determine which is greater:
    • On the number line, a number with a smaller negative value is greater. Since is greater than , we conclude that:
Thus, is greater than -0.5.

Conclusion:

  • Therefore, is greater than -0.5.

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Bonus Knowledge

To compare and -0.5, let’s first see where they fall on the number line. The fraction is equal to -0.45 when converted to decimal form, which places it to the right of -0.5 on a number line since -0.45 is greater than -0.5. Thus, is greater than -0.5.
To visualize this better, remember that on a number line, numbers become more negative as you move left. So, while -0.5 sits to the left of -0.45, it clearly shows that is greater. It’s all about that left-right relationship!

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