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All questions of Addition and Subtraction for Year 4 Exam

What is the first step when adding fractions with the same denominator?
  • a)
    Add the denominators
  • b)
    Convert to improper fractions
  • c)
    Simplify the fractions
  • d)
    Add the numerators
Correct answer is option 'D'. Can you explain this answer?

Riya Singh answered
When adding fractions with the same denominator, the first step is to add the numerators while keeping the denominator unchanged. This straightforward approach ensures that the operation remains simple and direct, making it easy to find the total.

How do you subtract fractions with the same denominator?
  • a)
    Subtract the numerators and keep the denominator
  • b)
    Subtract the denominators and keep the numerator
  • c)
    Add the fractions together
  • d)
    Multiply the numerators and denominators
Correct answer is option 'A'. Can you explain this answer?

Edu Impact answered
To subtract fractions that have the same denominator, follow these steps:
  • Subtract the numerators (the top numbers) of the fractions.
  • Keep the denominator (the bottom number) the same.
  • Write the result as a new fraction.
For example, if you have 3/5 and 1/5, you subtract 1 from 3 to get 2, keeping the denominator 5. So, 3/5 - 1/5 = 2/5.

How can you check if your answer in subtraction is reasonable?
  • a)
    By multiplying the smaller number
  • b)
    By estimating both numbers before subtraction
  • c)
    By doubling the result
  • d)
    By adding the two numbers
Correct answer is option 'B'. Can you explain this answer?

Gunjan Lakhani answered
To check if your answer in subtraction is reasonable, you can estimate both numbers before performing the actual subtraction. This allows you to see if the result falls within an expected range, helping to confirm the accuracy of your calculation.

What is a key technique in addition that helps manage multi-digit numbers efficiently?
  • a)
    Estimation
  • b)
    Ignoring place value
  • c)
    Simplification
  • d)
    Carrying
Correct answer is option 'D'. Can you explain this answer?

Subset Academy answered
Carrying is a key technique in addition used to manage multi-digit numbers effectively. When the sum of a column exceeds 9, you carry over the excess to the next column. This technique ensures accurate results and is fundamental in handling larger numbers.

When adding two numbers using the column method, what should you do if the sum of a column exceeds 9?
  • a)
    Subtract 10 from the sum
  • b)
    Carry over the excess to the next column
  • c)
    Ignore the excess
  • d)
    Multiply the sum by 2
Correct answer is option 'B'. Can you explain this answer?

Subset Academy answered
If the sum of a column exceeds 9, you must carry over the excess to the next column. For example, if you add 7 and 5, the total is 12; you write down 2 and carry over 1 to the next column. This ensures the accuracy of the overall sum.

In what scenario would you use the decomposition method for subtraction?
  • a)
    When the numbers are multi-digit and require regrouping
  • b)
    When dealing with one-digit numbers
  • c)
    When subtracting fractions
  • d)
    When performing addition
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
The decomposition method for subtraction is particularly useful when dealing with multi-digit numbers that require regrouping. This method breaks down the numbers into place values, making it easier to manage borrowing when necessary, ensuring accurate results.

Which of the following is a proper fraction?
  • a)
    9/8
  • b)
    7/7
  • c)
    4/5
  • d)
    10/9
Correct answer is option 'C'. Can you explain this answer?

Rahul Kumar answered
A proper fraction is defined as a fraction where the numerator (the top number) is less than the denominator (the bottom number). In this case, we can evaluate the options:
  • 9/8: The numerator (9) is greater than the denominator (8). This is not a proper fraction.
  • 7/7: The numerator (7) is equal to the denominator (7). This is not a proper fraction; it is equal to 1.
  • 4/5: The numerator (4) is less than the denominator (5). This is a proper fraction.
  • 10/9: The numerator (10) is greater than the denominator (9). This is not a proper fraction.
Thus, the only proper fraction among the options is 4/5.

In the decomposition method of subtraction, what is the first step?
  • a)
    Write the numbers vertically
  • b)
    Subtract the smaller number from the larger number
  • c)
    Estimate the result
  • d)
    Break the numbers into their place values
Correct answer is option 'D'. Can you explain this answer?

Riya Singh answered
The first step in the decomposition method for subtraction is to break the numbers into their place values. For example, 367 can be broken down into 300, 60, and 7. This helps in visualizing the subtraction more clearly and makes regrouping easier when necessary.

What is a common mistake when adding fractions with the same denominator?
  • a)
    Adding the denominators instead of the numerators
  • b)
    Adding the numerators correctly
  • c)
    Keeping the denominator the same
  • d)
    Simplifying the result
Correct answer is option 'A'. Can you explain this answer?

Edu Impact answered
When adding fractions that have the same denominator, a common mistake is:
  • To add the denominators instead of the numerators.
Here's how to correctly add fractions with the same denominator:
  • Keep the denominator the same.
  • Add only the numerators together.
  • Write the sum over the unchanged denominator.
For example, if you are adding 1/4 and 3/4:
  • Keep the denominator 4.
  • Add the numerators: 1 + 3 = 4.
  • The result is 4/4, which simplifies to 1.
By avoiding the mistake of adding the denominators, you can ensure accurate results.

What should you do if you need to regroup while subtracting?
  • a)
    Increase the number being subtracted
  • b)
    Borrow from the next column
  • c)
    Ignore the need to regroup
  • d)
    Change the operation to addition
Correct answer is option 'B'. Can you explain this answer?

Indu Gupta answered
When you need to regroup during subtraction, you borrow from the next column. For instance, if you need to subtract 8 from 6, you can't do that directly, so you take 1 from the next column, turning the 6 into 16, which allows you to subtract effectively.

When working with improper fractions, how can they be represented?
  • a)
    They cannot be represented differently
  • b)
    As decimals only
  • c)
    As whole numbers only
  • d)
    As mixed numbers
Correct answer is option 'D'. Can you explain this answer?

Subset Academy answered
Improper fractions can be represented in different forms. The most common representation is as mixed numbers.
Here's a breakdown:
  • A mixed number consists of a whole number and a proper fraction.
  • For example, the improper fraction 7/4 can be written as 1 3/4.
  • This format makes it easier to understand and use in calculations.
Thus, converting improper fractions to mixed numbers is a useful method.

Which operation is performed first when using the column method for subtraction?
  • a)
    Subtract the ones
  • b)
    Subtract the tens
  • c)
    Subtract the hundreds
  • d)
    Estimate the result
Correct answer is option 'A'. Can you explain this answer?

Subset Academy answered
When using the column method for subtraction, the first operation performed is to subtract the ones column. After that, you proceed to the tens and then to the hundreds, ensuring that each step is carried out systematically for accurate results.

What is the primary purpose of using the column method in addition?
  • a)
    To align numbers by place value for accurate computation
  • b)
    To estimate the total before calculating
  • c)
    To simplify complex fractions
  • d)
    To identify the largest number in a set
Correct answer is option 'A'. Can you explain this answer?

Subset Academy answered
The column method is essential for addition because it allows numbers to be aligned by their place values (hundreds, tens, and ones), ensuring that digits are added correctly. This method is particularly effective for multi-digit numbers, helping to avoid errors in computation.

When adding fractions, what do you do if the result is an improper fraction?
  • a)
    Subtract 1 from the numerator
  • b)
    Multiply the numerator and denominator
  • c)
    Convert it to a proper fraction or mixed number
  • d)
    Leave it as is
Correct answer is option 'C'. Can you explain this answer?

Indu Gupta answered
When you add fractions and get an improper fraction, you should convert it into a proper fraction or a mixed number. This makes it easier to understand and use in further calculations.
To convert an improper fraction:
  • Divide the numerator by the denominator.
  • The whole number part becomes the integer of the mixed number.
  • The remainder becomes the new numerator, while the denominator stays the same.
For example, if you have the improper fraction 9/4:
  • Divide 9 by 4, which gives you 2 with a remainder of 1.
  • So, 9/4 can be written as the mixed number 2 1/4.
This method helps in better understanding and using fractions in various mathematical situations.

What method can be used to check the reasonableness of an addition problem?
  • a)
    Estimation before calculation
  • b)
    Using a calculator
  • c)
    Multiplying the numbers
  • d)
    Subtracting the smallest number from the largest
Correct answer is option 'A'. Can you explain this answer?

Riya Singh answered
Estimation before calculation is an effective method to verify the reasonableness of an addition problem. By rounding numbers to the nearest ten or hundred, you can quickly check if the final answer is in the expected range, which helps catch errors early in the process.

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