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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.)
`7.02xx4.99-3.09-?=2.02^3`

A

27

B

24

C

18

D

15

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 7.02 \times 4.99 - 3.09 - ? = 2.02^3 \) approximately, we can follow these steps: ### Step 1: Approximate the values We can round the numbers to make calculations easier: - \( 7.02 \) can be approximated to \( 7 \) - \( 4.99 \) can be approximated to \( 5 \) - \( 3.09 \) can be approximated to \( 3 \) - \( 2.02 \) can be approximated to \( 2 \) ### Step 2: Rewrite the equation with approximations Now, we can rewrite the equation using these approximations: \[ 7 \times 5 - 3 - ? = 2^3 \] ### Step 3: Calculate \( 2^3 \) Calculating \( 2^3 \): \[ 2^3 = 8 \] ### Step 4: Calculate \( 7 \times 5 \) Now, calculate \( 7 \times 5 \): \[ 7 \times 5 = 35 \] ### Step 5: Substitute back into the equation Now substitute back into the equation: \[ 35 - 3 - ? = 8 \] ### Step 6: Simplify the left side Now simplify the left side: \[ 35 - 3 = 32 \] So, the equation becomes: \[ 32 - ? = 8 \] ### Step 7: Solve for ? Now, we can solve for \( ? \): \[ ? = 32 - 8 \] \[ ? = 24 \] ### Conclusion The approximate value that will come in place of the question mark (?) is \( 24 \). ---
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