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Assertion (A): 0.5 is greater than 0.45. Reason (R): When comparing decimals, the number with more digits after the point is always greater. Which is correct?

Class 6DecimalsDecimals
  • AA is true but R is false
  • BBoth A and R are true and R explains A
  • CA is false but R is true
  • DBoth A and R are false

Step-by-Step Solution

A is true: 0.50 > 0.45. R is false: more digits does NOT mean greater (e.g. 0.5 > 0.45 even though 0.45 has more digits). So A is true but R is false.
Answer: A) A is true but R is false

Key idea: Place value to the right of the decimal point

To the LEFT of the decimal point: ones, tens, hundreds — each place is **10 times** bigger than the one to its right. To the RIGHT of the decimal point, the same rule continues — each place is **10 times smaller** than the one to its left. So:

- 1st place after the point: tenths (1/10)
- 2nd place: hundredths (1/100)
- 3rd place: thousandths (1/1000)

The decimal .

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