Which is greater: 0.65 or 0.56?a)0.65b)0.56c)Both are equald)Cannot co...
Understanding Decimal Comparison
When comparing decimals, it's important to look at the digits from left to right. Each digit's place value helps determine which number is greater.
Step-by-Step Comparison
- Identify the Numbers:
We have 0.65 and 0.56.
- Compare the Whole Numbers:
Both numbers are less than 1, so we focus on the digits after the decimal point.
- Examine the Tenths Place:
- In 0.65, the tenths digit is 6.
- In 0.56, the tenths digit is also 5.
Here, 6 (from 0.65) is greater than 5 (from 0.56).
- Conclusion from Tenths Place:
Since the tenths digit of 0.65 is greater than that of 0.56, we can conclude that 0.65 is greater.
Final Verification
- Comparing the Hundredths Place:
- In 0.65, the hundredths digit is 5.
- In 0.56, the hundredths digit is 6.
Although 6 is greater than 5, the comparison was already determined by the tenths place.
- Overall Conclusion:
Since the tenths digit of 0.65 is larger, 0.65 is indeed greater than 0.56.
Correct Answer
- Therefore, the correct answer is option 'A': 0.65 is greater than 0.56.