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What approximate value will come in plac...

What approximate value will come in place of question mark (?) in the following questions
`57.5 xx 13.98 + 8748 div 13.98 - 21.97 xx 8 = ?`

A

1300

B

1350

C

1205

D

1254

Text Solution

AI Generated Solution

The correct Answer is:
To find the approximate value of the expression \( 57.5 \times 13.98 + \frac{8748}{13.98} - 21.97 \times 8 \), we will follow these steps: ### Step 1: Round Off the Numbers We will round off each number to the nearest integer for simplification. - \( 57.5 \) rounds to \( 58 \) - \( 13.98 \) rounds to \( 14 \) - \( 8748 \) remains \( 8748 \) (as it is already an integer) - \( 21.97 \) rounds to \( 22 \) - \( 8 \) remains \( 8 \) Thus, the expression becomes: \[ 58 \times 14 + \frac{8748}{14} - 22 \times 8 \] ### Step 2: Perform the Multiplications Now we will calculate the multiplications: - \( 58 \times 14 = 812 \) - \( 22 \times 8 = 176 \) So, we can rewrite the expression as: \[ 812 + \frac{8748}{14} - 176 \] ### Step 3: Perform the Division Next, we will calculate the division: - \( \frac{8748}{14} = 624 \) Now the expression is: \[ 812 + 624 - 176 \] ### Step 4: Perform the Addition and Subtraction Now we will add and subtract the values: 1. First, add \( 812 + 624 = 1436 \) 2. Then, subtract \( 1436 - 176 = 1260 \) ### Final Result Thus, the approximate value that comes in place of the question mark (?) is: \[ \approx 1260 \]
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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