Sure, let's break down the problem step-by-step to correctly determine the answer:
1. Understanding Assertion (A):
- Assertion (A) states that 4.375 is greater than 4.7.
2. Comparing the Two Numbers:
- To compare 4.375 and 4.7, consider the value of each number:
- 4.375 is a decimal number with three digits after the decimal point.
- 4.7 is a decimal number with one digit after the decimal point.
- We can compare the numbers by looking at their respective place values starting from the left:
- The whole number part of both 4.375 and 4.7 is 4.
- Comparing the digits to the right of the decimal point:
- The first digit after the decimal in 4.375 is 3 (0.3).
- The first digit after the decimal in 4.7 is 7 (0.7).
- Since 0.3 is smaller than 0.7, it is clear that 4.375 is less than 4.7.
3. Evaluating Assertion (A):
- Given the comparison, Assertion (A) is incorrect since 4.375 is not greater than 4.7.
4. Understanding Reason (R):
- Reason (R) states that the place value of digits decreases as they move further to the right of the decimal point.
5. Evaluating Reason (R):
- The statement in Reason (R) is correct. This is a fundamental principle of the decimal number system. For example, in the number 4.375:
- The digit 3 is in the tenths place, its value is 0.3.
- The digit 7 is in the hundredths place, its value is 0.07.
- The digit 5 is in the thousandths place, its value is 0.005.
- Each place value is 1/10th of the place value to its immediate left.
6. Conclusion:
- Assertion (A) is incorrect.
- Reason (R) is correct.
- Hence, the correct answer is:
d) A is incorrect, but R is correct.
