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What approximate value should come in the place of the question mark (?) in the following equation?
(24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)2 = ?2
- a)10
- b)8
- c)9
- d)5
- e)7
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What approximate value should come in the place of the question mark (...
Follow BODMAS rule to solve this question, as per the order given below.
Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -
Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.
Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.
Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.
Since, we need to find out the approximate value, we can write these values to their nearest integers.
Given expression is
(24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)
2
= ?2⇒
(25 × 4) ÷ 5 + 13 + (8)
2
= ?
2
⇒ 100
÷ 5 + 13 + (8)
2
= ?
2
⇒ 20
+ 13 + 64
= ?
2
⇒ 97 = ?2
⇒ 10
Hence, 10 will come in the place of (?).
Most Upvoted Answer
What approximate value should come in the place of the question mark (...
Step 1: Break down the equation
To solve the equation (24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)² = ?², we will compute each part step by step.
Step 2: Calculate (24.98 × 3.97)
- Approximate 24.98 to 25 for simplicity.
- Approximate 3.97 to 4 for ease of calculation.
- Thus, 25 × 4 = 100.
Step 3: Divide by 4.99
- Perform the division: 100 ÷ 4.99.
- For approximation, consider 4.99 as 5.
- So, 100 ÷ 5 = 20.
Step 4: Add 12.95
- Now add 12.95 to 20.
- 20 + 12.95 = 32.95 (approximately 33).
Step 5: Calculate (8.02)²
- Approximate 8.02 to 8 for simplicity.
- Thus, (8)² = 64.
Step 6: Final calculation
- Add 64 to 33:
- 33 + 64 = 97.
Step 7: Solve for ?²
- We now have 97 = ?².
- To find ?, calculate the square root of 97, which is approximately 9.85.
Step 8: Finding the closest integer
- The nearest whole number to 9.85 is 10.
- Therefore, the approximate value for ? is 10.
Conclusion
- The correct answer is option 'A', which is 10.
To solve the equation (24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)² = ?², we will compute each part step by step.
Step 2: Calculate (24.98 × 3.97)
- Approximate 24.98 to 25 for simplicity.
- Approximate 3.97 to 4 for ease of calculation.
- Thus, 25 × 4 = 100.
Step 3: Divide by 4.99
- Perform the division: 100 ÷ 4.99.
- For approximation, consider 4.99 as 5.
- So, 100 ÷ 5 = 20.
Step 4: Add 12.95
- Now add 12.95 to 20.
- 20 + 12.95 = 32.95 (approximately 33).
Step 5: Calculate (8.02)²
- Approximate 8.02 to 8 for simplicity.
- Thus, (8)² = 64.
Step 6: Final calculation
- Add 64 to 33:
- 33 + 64 = 97.
Step 7: Solve for ?²
- We now have 97 = ?².
- To find ?, calculate the square root of 97, which is approximately 9.85.
Step 8: Finding the closest integer
- The nearest whole number to 9.85 is 10.
- Therefore, the approximate value for ? is 10.
Conclusion
- The correct answer is option 'A', which is 10.
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What approximate value should come in the place of the question mark (?) in the following equation? (24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)2 = ?2a)10b)8c)9d)5e)7Correct answer is option 'A'. Can you explain this answer? for Italian 2025 is part of Italian preparation. The Question and answers have been prepared according to the Italian exam syllabus. Information about What approximate value should come in the place of the question mark (?) in the following equation? (24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)2 = ?2a)10b)8c)9d)5e)7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Italian 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What approximate value should come in the place of the question mark (?) in the following equation? (24.98 × 3.97) ÷ 4.99 + 12.95 + (8.02)2 = ?2a)10b)8c)9d)5e)7Correct answer is option 'A'. Can you explain this answer?.
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