Question
What number is bigger 2.5 or 2.5 repeating?
272
likes1361 views
Answer to a math question What number is bigger 2.5 or 2.5 repeating?
Frederik
4.6101 Answers
Given numbers: 2.5 and 2.5 repeating
1. Convert 2.5 to a fraction:
2.5 = 2 + \frac{5}{10} = 2 + 0.5 = 2.5
2. Convert 2.5 repeating to a fraction:
Let \(x = 2.5\overline{5}\)
Multiply both sides by 10:
10x = 25.5\overline{5}
Subtract the original \(x\) from this equation:
10x - x = 25.5\overline{5} - 2.5\overline{5}
9x = 23
Solve for \(x\):
x = \frac{23}{9}
2.5\overline{5} = \frac{23}{9}
3. Compare the numbers:
2.5 = 2.5
2.5\overline{5} > 2.5
Therefore,
2.5\overline{5}
1. Convert 2.5 to a fraction:
2. Convert 2.5 repeating to a fraction:
Let \(x = 2.5\overline{5}\)
Multiply both sides by 10:
Subtract the original \(x\) from this equation:
Solve for \(x\):
3. Compare the numbers:
Therefore,
Frequently asked questions (FAQs)
What is the equation of a line passing through point (2,4) and having a slope of 3?
+
What is the mean, mode, median, range, and average of the following dataset: 12, 15, 18, 20, 20, 22, 25, 26, 30, 32?
+
What is the length of the side opposite the angle θ in a right-angled triangle, given the adjacent side length and angle θ?
+
New questions in Mathematics