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What approximate value will come in plac...

What approximate value will come in place of the question mark (?) in the following questions ? (Note: You are not expected to calculate the exact value)
`6394+25 xx 12 xx 2.99`= ?

A

7291

B

7200

C

9300

D

9400

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 6394 + 25 \times 12 \times 2.99 \) and find the approximate value, we can follow these steps: ### Step 1: Simplify the expression First, we can approximate \( 2.99 \) to \( 3 \). This makes calculations easier. ### Step 2: Calculate \( 25 \times 12 \) Next, we calculate \( 25 \times 12 \): \[ 25 \times 12 = 300 \] ### Step 3: Multiply by the approximate value of \( 2.99 \) Now, we multiply the result by the approximate value of \( 2.99 \): \[ 300 \times 3 = 900 \] ### Step 4: Add to \( 6394 \) Now we add this result to \( 6394 \): \[ 6394 + 900 = 7294 \] ### Step 5: Adjust for the approximation Since we approximated \( 2.99 \) as \( 3 \), we need to adjust for this approximation. The difference is: \[ 300 \times (3 - 2.99) = 300 \times 0.01 = 3 \] So we subtract \( 3 \) from \( 7294 \): \[ 7294 - 3 = 7291 \] ### Final Answer Thus, the approximate value of the expression is: \[ \boxed{7291} \]
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