Quant Exam > Quant Questions > 0.005 ÷ 0.25is equal toa)0.2 b)0.02c)2.0...
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0.005 ÷ 0.25 is equal to
- a)0.2
- b)0.02
- c)2.02
- d)0.002
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
0.005 ÷ 0.25is equal toa)0.2 b)0.02c)2.02 d)0.002Correct answer i...
**Problem Analysis**
To solve this problem, we need to convert the given decimal numbers into fractions and then compare them.
**Solution**
To convert 0.005 into a fraction, we can write it as 5/1000.
To convert 0.25 into a fraction, we can write it as 25/100.
Now, we need to compare these fractions.
**Comparing Fractions**
To compare fractions, we can cross-multiply.
For fraction 5/1000 and fraction 25/100:
5 * 100 = 500
25 * 1000 = 25000
Since 500 is less than 25000, we can conclude that 5/1000 is less than 25/100.
Therefore, 0.005 is less than 0.25.
**Finding the Correct Answer**
From the given options, we need to find the option that represents a number less than 0.25.
- Option A: 0.2 = 2/10 = 20/100. Since 20/100 is greater than 25/100, option A is incorrect.
- Option B: 0.02 = 2/100. Since 2/100 is less than 25/100, option B is correct.
- Option C: 2.02 = 202/100. Since 202/100 is greater than 25/100, option C is incorrect.
- Option D: 0.002 = 2/1000. Since 2/1000 is less than 25/100, option D is incorrect.
Therefore, the correct answer is option B: 0.02.
**Conclusion**
The decimal number 0.005 can be written as 5/1000 and the decimal number 0.25 can be written as 25/100. By comparing the fractions, we can determine that 5/1000 is less than 25/100. The correct answer from the given options is option B: 0.02, which is less than 0.25.
To solve this problem, we need to convert the given decimal numbers into fractions and then compare them.
**Solution**
To convert 0.005 into a fraction, we can write it as 5/1000.
To convert 0.25 into a fraction, we can write it as 25/100.
Now, we need to compare these fractions.
**Comparing Fractions**
To compare fractions, we can cross-multiply.
For fraction 5/1000 and fraction 25/100:
5 * 100 = 500
25 * 1000 = 25000
Since 500 is less than 25000, we can conclude that 5/1000 is less than 25/100.
Therefore, 0.005 is less than 0.25.
**Finding the Correct Answer**
From the given options, we need to find the option that represents a number less than 0.25.
- Option A: 0.2 = 2/10 = 20/100. Since 20/100 is greater than 25/100, option A is incorrect.
- Option B: 0.02 = 2/100. Since 2/100 is less than 25/100, option B is correct.
- Option C: 2.02 = 202/100. Since 202/100 is greater than 25/100, option C is incorrect.
- Option D: 0.002 = 2/1000. Since 2/1000 is less than 25/100, option D is incorrect.
Therefore, the correct answer is option B: 0.02.
**Conclusion**
The decimal number 0.005 can be written as 5/1000 and the decimal number 0.25 can be written as 25/100. By comparing the fractions, we can determine that 5/1000 is less than 25/100. The correct answer from the given options is option B: 0.02, which is less than 0.25.
Community Answer
0.005 ÷ 0.25is equal toa)0.2 b)0.02c)2.02 d)0.002Correct answer i...
0.005 ÷ 0.25 can be calculated by dividing 0.005 by 0.25. Here’s how to understand this division:
- When you divide a smaller number by a larger number, the result is usually less than 1.
- In this case, 0.005 is much smaller than 0.25.
- The actual division gives you a decimal number.
The calculation can be simplified:
- 0.005 divided by 0.25 equals 0.02.
- This means that 0.005 is 2% of 0.25.
Thus, the result of the division is 0.02.
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