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What approximate value will come in plac...

What approximate value will come in place of the question mark(?) in the given questions? (You are not expected to calculate exact value)
`4.01xx(18.03-11.98)xx14.86=?`

A

350

B

360

C

370

D

340

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 expression `4.01xx(18.03-11.98)xx14.86`, we will follow these steps: ### Step 1: Simplify the expression The expression is structured as: \[ 4.01 \times (18.03 - 11.98) \times 14.86 \] ### Step 2: Approximate the values We will round each number to make calculations easier: - Approximate \( 4.01 \) to \( 4 \) - Approximate \( 18.03 \) to \( 18 \) - Approximate \( 11.98 \) to \( 12 \) - Approximate \( 14.86 \) to \( 15 \) ### Step 3: Substitute the approximated values Now substituting the approximated values into the expression: \[ 4 \times (18 - 12) \times 15 \] ### Step 4: Calculate the expression inside the parentheses Calculate \( 18 - 12 \): \[ 18 - 12 = 6 \] ### Step 5: Substitute back into the expression Now substitute back into the expression: \[ 4 \times 6 \times 15 \] ### Step 6: Calculate \( 4 \times 6 \) Calculate \( 4 \times 6 \): \[ 4 \times 6 = 24 \] ### Step 7: Calculate \( 24 \times 15 \) Finally, calculate \( 24 \times 15 \): \[ 24 \times 15 = 360 \] ### Final Result Thus, the approximate value that will come in place of the question mark (?) is: \[ \text{360} \]
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