Pregunta
- Which is greater
or - 0.5 Explain how
numbers on a number line.
numbers on a number line.
Ask by Tran Mcguire. in the United States
Mar 14,2025
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Solución
To determine which number is greater between
and -0.5, we can follow these steps:
-
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 .
- The decimal -0.5 can be expressed as a fraction. Since -0.5 is equivalent to
-
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:
- The denominators of the two fractions are 20 and 2. The least common denominator (LCD) is 20. We can convert
-
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 ).
-
- Now we have:
-
Determine which is greater:
- On the number line, a number with a smaller negative value is greater. Since
is greater than , we conclude that:
- On the number line, a number with a smaller negative value is greater. Since
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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