Class 2 Exam > Class 2 Questions > Which statement is correct?a)A number with mo...
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Which statement is correct?
- a)A number with more digits is always greater than the others.
- b)A number with more digits is always lesser than the others.
- c)A number with less digits is always greater than the others.
- d)A number with less digits is always equal to the others.
Correct answer is option 'A'. Can you explain this answer?
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Which statement is correct?a)A number with more digits is always great...
e.g., 732 > 96
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Which statement is correct?a)A number with more digits is always great...
Explanation:
The statement "A number with more digits is always greater than the others" is correct, which is option 'A'. Let's understand why this statement is true.
- Digit Place Value: In our number system, the value of a digit depends on its position or place value. The more digits a number has, the more places it occupies, and the greater its value can be.
- Comparison: When comparing two numbers, we start by comparing the leftmost digits (the digits in the highest place value). If they are different, the number with the greater leftmost digit is greater. If they are the same, we move to the next digit to the right and continue the comparison.
- Examples: Let's consider some examples to illustrate this:
1. Compare 123 and 456:
- The leftmost digits are 1 and 4. Since 4 is greater than 1, we can conclude that 456 is greater than 123 without comparing the remaining digits.
2. Compare 1000 and 999:
- The leftmost digits are both 1. We move to the next digit, and the leftmost digits are both 0. We continue moving to the right until we find different digits. In this case, the rightmost digit of 1000 is 0, while the rightmost digit of 999 is 9. Since 9 is greater than 0, we can conclude that 999 is greater than 1000.
- Generalization: From these examples, we can generalize that a number with more digits has a higher chance of having a greater value compared to a number with fewer digits. However, it is important to note that this is not always the case. There can be instances where a number with fewer digits is greater if its leftmost digits are greater than the leftmost digits of the number with more digits.
- Conclusion: In conclusion, the statement "A number with more digits is always greater than the others" is generally true, but there can be exceptions depending on the specific digits present in the numbers being compared.
The statement "A number with more digits is always greater than the others" is correct, which is option 'A'. Let's understand why this statement is true.
- Digit Place Value: In our number system, the value of a digit depends on its position or place value. The more digits a number has, the more places it occupies, and the greater its value can be.
- Comparison: When comparing two numbers, we start by comparing the leftmost digits (the digits in the highest place value). If they are different, the number with the greater leftmost digit is greater. If they are the same, we move to the next digit to the right and continue the comparison.
- Examples: Let's consider some examples to illustrate this:
1. Compare 123 and 456:
- The leftmost digits are 1 and 4. Since 4 is greater than 1, we can conclude that 456 is greater than 123 without comparing the remaining digits.
2. Compare 1000 and 999:
- The leftmost digits are both 1. We move to the next digit, and the leftmost digits are both 0. We continue moving to the right until we find different digits. In this case, the rightmost digit of 1000 is 0, while the rightmost digit of 999 is 9. Since 9 is greater than 0, we can conclude that 999 is greater than 1000.
- Generalization: From these examples, we can generalize that a number with more digits has a higher chance of having a greater value compared to a number with fewer digits. However, it is important to note that this is not always the case. There can be instances where a number with fewer digits is greater if its leftmost digits are greater than the leftmost digits of the number with more digits.
- Conclusion: In conclusion, the statement "A number with more digits is always greater than the others" is generally true, but there can be exceptions depending on the specific digits present in the numbers being compared.
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Which statement is correct?a)A number with more digits is always greater than the others.b)A number with more digits is always lesser than the others.c)A number with less digits is always greater than the others.d)A number with less digits is always equal to the others.Correct answer is option 'A'. Can you explain this answer?
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