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All questions of Decimals for Class 5 Exam

What is the value of the digit 3 in the decimal number 231.753?
  • a)
    3
  • b)
    30
  • c)
    300
  • d)
    3/10
Correct answer is option 'B'. Can you explain this answer?

In 231.753, the digit 3 is in the tens place, which means its value is 30. Understanding the position of each digit is essential for grasping place value in decimals.

What is a decimal fraction?
  • a)
    A fraction with denominators of 10, 100, or 1,000
  • b)
    A fraction that has a numerator larger than the denominator
  • c)
    A fraction that cannot be expressed as a decimal
  • d)
    A whole number
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
A decimal fraction is specifically defined as a fraction where the denominator is 10, 100, or 1,000. This allows it to be easily expressed using a decimal point, such as converting 1/10 to 0.1.

What is a like decimal?
  • a)
    Decimals that are equivalent
  • b)
    Decimals with different numbers of decimal places
  • c)
    Decimals with the same number of decimal places
  • d)
    Decimals that cannot be compared
Correct answer is option 'C'. Can you explain this answer?

Edu Impact answered
Like decimals are defined as decimals that have the same number of digits after the decimal point, such as 0.21 and 1.31. Understanding this concept is crucial for accurate calculations and comparisons.

How do you convert the fraction 9/20 into a decimal fraction?
  • a)
    Multiply by 2
  • b)
    Divide 9 by 20
  • c)
    Multiply by 5
  • d)
    Add 10 to the numerator
Correct answer is option 'C'. Can you explain this answer?

Edu Impact answered
To convert 9/20 to a decimal fraction, you multiply both the numerator and the denominator by 5 to get 45/100, which equals 0.45. This method is useful for transforming fractions into decimals for easier calculations.

What is the result of adding 4.68, 0.76, and 0.3?
  • a)
    6.00
  • b)
    5.54
  • c)
    5.74
  • d)
    5.64
Correct answer is option 'C'. Can you explain this answer?

To find the sum, convert 0.3 to 0.30 and align the decimal points:

\[
\begin{align*}
4.68
+ 0.76
+ 0.30
\hline
5.74
\end{align*}
\]
This demonstrates how to perform addition with decimals effectively.

If you multiply 52.65 by 17, what is the first step to find the correct product?
  • a)
    Convert 17 to a decimal
  • b)
    Ignore the decimal point and multiply as whole numbers
  • c)
    Divide 52.65 by 17
  • d)
    Add 52.65 and 17
Correct answer is option 'B'. Can you explain this answer?

Kds Coaching answered
The first step is to ignore the decimal point and multiply as whole numbers. Once you calculate the product, you will need to place the decimal point back in based on the total decimal places in the original numbers.

Which of the following statements about equivalent decimals is correct?
  • a)
    0.8 is equal to 0.80
  • b)
    0.25 is greater than 0.250
  • c)
    0.1 is greater than 0.10
  • d)
    0.5 is not equal to 0.50
Correct answer is option 'A'. Can you explain this answer?

The statement that 0.8 is equal to 0.80 is correct because adding zeros after the decimal does not change its value. Understanding equivalent decimals is essential for comparing and calculating decimal numbers accurately.

If a decimal number has 2 decimal places, what is the denominator when converting it to a fraction?
  • a)
    1,000
  • b)
    10
  • c)
    100
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?

Gunjan Lakhani answered
If a decimal number has 2 decimal places, the denominator when converting it to a fraction is 100. This is because each place after the decimal point represents a power of ten, thus 0.95 becomes 95/100.

How do you convert the decimal 0.95 to a fraction?
  • a)
    9.5/100
  • b)
    95/10
  • c)
    9.5/10
  • d)
    95/100
Correct answer is option 'D'. Can you explain this answer?

Glitz Classes answered
To convert 0.95 to a fraction, you write 95 as the numerator and 100 (since there are two decimal places) as the denominator, resulting in 95/100. This is a straightforward method to convert decimals to fractions.

What is the expanded form of the decimal number 135.024?
  • a)
    100 + 30 + 5 + 0.02 + 0.04
  • b)
    100 + 30 + 5 + 0.2 + 0.004
  • c)
    100 + 30 + 5 + 0.2 + 0.004
  • d)
    100 + 30 + 5 + 0.02 + 0.004
Correct answer is option 'D'. Can you explain this answer?

Gunjan Lakhani answered
The expanded form of 135.024 is 100 (1 hundred) + 30 (3 tens) + 5 (5 ones) + 0.02 (2 hundredths) + 0.004 (4 thousandths). This helps illustrate how each digit contributes to the overall value of the number.

What is the total spent by Radhika if she bought items costing 2,461.25, 585.25, and 636.50?
  • a)
    3,500.00
  • b)
    3,700.00
  • c)
    4,000.00
  • d)
    3,683.00
Correct answer is option 'D'. Can you explain this answer?

Edu Impact answered
To find the total spent, you add the three amounts:

\[
2,461.25 + 585.25 + 636.50 = 3,683.00
\]
This illustrates the process of adding decimal amounts in practical finance scenarios.

What is the result of multiplying 0.17 by 0.9?
  • a)
    0.1530
  • b)
    0.171
  • c)
    1.53
  • d)
    0.153
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
To multiply 0.17 by 0.9, first ignore the decimal points and multiply 17 by 9, which gives 153. Since there are a total of 3 decimal places (2 from 0.17 and 1 from 0.9), the decimal is placed 3 places from the right, resulting in 0.153.

How do you convert the decimal fraction 34/1000 to a decimal number?
  • a)
    0.034
  • b)
    0.00034
  • c)
    0.34
  • d)
    0.0034
Correct answer is option 'A'. Can you explain this answer?

Gunjan Lakhani answered
To convert 34/1000 to a decimal, you recognize that there are three zeros in the denominator, so you write 34 with the decimal point placed three places from the right, resulting in 0.034.

In the decimal number 231.753, what is the place value of the digit 7?
  • a)
    7
  • b)
    0.7
  • c)
    7/10
  • d)
    70
Correct answer is option 'B'. Can you explain this answer?

Gunjan Lakhani answered
In the decimal number 231.753, the digit 7 is in the tenths place, which means its value is 7/10 or 0.7. Understanding place values helps in grasping how decimals represent fractions of a whole.

When converting unlike decimals to like decimals, what is the first step?
  • a)
    Count the number of decimal places
  • b)
    Add zeros to the whole numbers
  • c)
    Identify the maximum decimal places
  • d)
    Convert them to fractions
Correct answer is option 'C'. Can you explain this answer?

Edu Impact answered
The first step is to identify the decimal number with the most digits after the decimal point. This sets the standard for adjusting the other decimals to match the same number of decimal places for accurate comparison or calculation.

How would you express the decimal 5.250 in its simplest fractional form?
  • a)
    525/1000
  • b)
    5.25
  • c)
    5250/1000
  • d)
    525/100
Correct answer is option 'B'. Can you explain this answer?

The decimal 5.250 can be expressed as 525/100, since there are two decimal places. In simple terms, this means you can also represent it as 5.25, which is equivalent.

What is the correct way to align decimal points for addition?
  • a)
    Align the decimal points at the right
  • b)
    It doesn't matter where you align them
  • c)
    Align the decimal points at the left
  • d)
    Align the decimal points vertically
Correct answer is option 'D'. Can you explain this answer?

Kds Coaching answered
To add decimal numbers accurately, you must align the decimal points vertically. This ensures that each place value corresponds correctly, allowing for straightforward addition of whole numbers and decimal parts.

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