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All questions of Decimal Fractions for Class 6 Exam

Round 106.5 to the nearest whole number.
  • a)
    100
  • b)
    106
  • c)
    107
  • d)
    110
Correct answer is option 'C'. Can you explain this answer?

Rahul Kumar answered
106.5 rounded to nearest whole number = 107.
Since the digit after decimal is 5, the unit place is rounded by adding 1 to 6.

What number should 727.111 be divided by to get 7.27111?
  • a)
    10
  • b)
    100
  • c)
    1000
  • d)
    10000
Correct answer is option 'B'. Can you explain this answer?

Edgy Education answered
12.78 rounded to nearest tenth = 12.8.
Since the digit on hundredth place 8 > 5, the tenth place is rounded by adding 1 to 7.

Find the round 239.456 to the nearest hundred.
  • a)
    200
  • b)
    300
  • c)
    239.45
  • d)
    239.46
Correct answer is option 'A'. Can you explain this answer?

Yashina Kapoor answered
"2" needs to be retained in the hundreds position.
The next digit is "3" which is less than 5, so no change is needed to "2".
∴ Required answer = 2 hundreds.

Find the decimal number for "3.8439" rounded to 2 decimal places
  • a)
    3.84
  • b)
    3.844
  • c)
    3.843
  • d)
    3.85
Correct answer is option 'A'. Can you explain this answer?

Understanding Rounding
Rounding is a method used to reduce the number of decimal places in a number while keeping its value close to the original. When rounding to a specific number of decimal places, we look at the digit immediately after the last decimal place we want to keep.
Steps to Round "3.8439" to 2 Decimal Places
- Identify the number: The number we want to round is 3.8439.
- Determine the target decimal places: We want to round this number to 2 decimal places.
- Locate the relevant digits:
- The digits after the decimal are 8 (1st), 4 (2nd), 3 (3rd), and 9 (4th).
- We will keep 8 and 4 for 2 decimal places and look at the next digit, which is 3.
- Apply the rounding rule:
- If the digit after the last decimal place we are keeping (which is 3 in this case) is less than 5, we do not change the last kept digit.
- Since 3 is less than 5, we keep the 4 as is.
Final Result
- The rounded number is 3.84.
- Therefore, the correct option is a) 3.84.
Conclusion
Rounding helps simplify numbers for easier interpretation and calculation. In this case, rounding "3.8439" to two decimal places results in 3.84.

Round off the number 12.6257 to three decimal places.
  • a)
    12.6
  • b)
    12.626
  • c)
    12.625
  • d)
    12.63
Correct answer is option 'B'. Can you explain this answer?

Avinash Patel answered
  • To round 12.6257 to three decimal places, focus on the fourth decimal place, which is 7.
  • If the digit in the fourth decimal place is 5 or greater, you increase the third decimal place by one.
  • Here, the third decimal place is 5, and since the fourth place is 7 (which is greater than 5), you add 1 to the 5.
  • Therefore, 12.6257 rounded to three decimal places is 12.626.
  • Hence, the correct answer is B: 12.626.

Find the decimal number for 23/50
  • a)
    0.23
  • b)
    0.46
  • c)
    2.3
  • d)
    4.6
Correct answer is option 'B'. Can you explain this answer?

Jhanvi Das answered
Understanding the Fraction 23/50
To convert the fraction 23/50 into a decimal, we can use division.
Step-by-Step Calculation
- Divide the Numerator by the Denominator:
- Here, we will divide 23 by 50.
- This means we are finding how many times 50 fits into 23.
- Perform the Division:
- Since 50 is larger than 23, we start by adding a decimal point and a zero to 23, making it 230.
- Now, we calculate how many times 50 fits into 230.
- 50 goes into 230 a total of 4 times (because 50 x 4 = 200).
- Calculate the Remainder:
- After subtracting 200 from 230, we are left with 30.
- Bring down another zero, making it 300.
- Continue the Division:
- 50 goes into 300 a total of 6 times (because 50 x 6 = 300).
- After this operation, there is no remainder left.
- Final Result:
- So, 23 divided by 50 equals 0.46.
Conclusion: Correct Answer
- Among the options provided:
- a) 0.23
- b) 0.46
- c) 2.3
- d) 4.6
- The correct answer is b) 0.46 because that is the result of the division we performed.
This conversion illustrates how fractions can be transformed into decimals through simple division, making it easier to understand and work with numerical values.

Find the decimal number for 7/25.
  • a)
    0.7
  • b)
    7.0
  • c)
    0.28
  • d)
    0.8
Correct answer is option 'C'. Can you explain this answer?

  • Seven Twenty Fifths.
  • To convert 7/25 into a decimal, we multiply both the numerator and the denominator by 4 to make the denominator 100.
  • This gives (7 × 4) / (25 × 4) = 28/100 = 0.28.

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