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What approximate value will come in plac...

What approximate value will come in place of questions mark (?) in the given questions? (You are not expected to calculate the exact value.)
`33.87+19.98-?-8.97=6.11`

A

39

B

46

C

26

D

32

Text Solution

AI Generated Solution

The correct Answer is:
To find the approximate value that will come in place of the question mark (?) in the equation \( 33.87 + 19.98 - ? - 8.97 = 6.11 \), we can follow these steps: ### Step 1: Approximate the numbers We will round the numbers to make calculations easier: - \( 33.87 \) can be approximated to \( 34 \) - \( 19.98 \) can be approximated to \( 20 \) - \( 8.97 \) can be approximated to \( 9 \) - \( 6.11 \) can be approximated to \( 6 \) ### Step 2: Rewrite the equation with approximations Substituting the approximated values into the equation gives us: \[ 34 + 20 - ? - 9 = 6 \] ### Step 3: Simplify the left-hand side Now, we can simplify the left-hand side: \[ 34 + 20 = 54 \] So, the equation now looks like: \[ 54 - ? - 9 = 6 \] ### Step 4: Combine like terms Next, we combine \( 54 \) and \( -9 \): \[ 54 - 9 = 45 \] Thus, the equation simplifies to: \[ 45 - ? = 6 \] ### Step 5: Solve for the question mark To find the value of \( ? \), we can rearrange the equation: \[ ? = 45 - 6 \] Calculating this gives: \[ ? = 39 \] ### Conclusion Therefore, the approximate value that will come in place of the question mark (?) is \( 39 \). ---
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