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What approximate value will come in plac...

What approximate value will come in place of question mark(?) in the given question ? (You are not expected to calculate the exact value)
`2430div7.998-79.75+?^2 = 850`

A

30

B

25

C

9

D

20

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: \[ 2430 \div 7.998 - 79.75 + ?^2 = 850 \] we can follow these steps: ### Step 1: Approximate the values First, we approximate the values in the equation. - Approximate \( 7.998 \) to \( 8 \) - Approximate \( 79.75 \) to \( 80 \) So, the equation becomes: \[ 2430 \div 8 - 80 + ?^2 = 850 \] ### Step 2: Perform the division Now, we calculate \( 2430 \div 8 \): \[ 2430 \div 8 = 303.75 \] For approximation, we can round this to \( 304 \). ### Step 3: Substitute back into the equation Now substitute back into the equation: \[ 304 - 80 + ?^2 = 850 \] ### Step 4: Simplify the equation Now simplify the left side: \[ 304 - 80 = 224 \] So the equation now is: \[ 224 + ?^2 = 850 \] ### Step 5: Isolate \( ?^2 \) Now, isolate \( ?^2 \): \[ ?^2 = 850 - 224 \] Calculating this gives: \[ ?^2 = 626 \] ### Step 6: Find the approximate value of \( ? \) Now, we need to find \( ? \): \[ ? = \sqrt{626} \] For approximation, we can use the square root of a nearby perfect square. The closest perfect square is \( 625 \): \[ \sqrt{625} = 25 \] Thus, we can approximate: \[ ? \approx 25 \] ### Final Answer The approximate value that will come in place of the question mark (?) is **25**. ---
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