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What approximate value will come in plac...

What approximate value will come in place of question mark (?) in the following questions? (You are not excepted to calculate the exact value.)
`14.03+(28.02)^2-:6.98+(3.96)^2=?`

A

120

B

142

C

152

D

132

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 14.03 + \frac{(28.02)^2}{6.98} + (3.96)^2 = ? \) and find its approximate value, we can follow these steps: ### Step 1: Approximate the numbers - \( 14.03 \approx 14 \) - \( 28.02 \approx 28 \) - \( 6.98 \approx 7 \) - \( 3.96 \approx 4 \) ### Step 2: Calculate the square of the approximated numbers - \( (28.02)^2 \approx (28)^2 = 28 \times 28 = 784 \) - \( (3.96)^2 \approx (4)^2 = 4 \times 4 = 16 \) ### Step 3: Substitute the approximated values into the expression Now, we can rewrite the expression using the approximated values: \[ 14 + \frac{784}{7} + 16 \] ### Step 4: Perform the division Calculate \( \frac{784}{7} \): \[ 784 \div 7 = 112 \] ### Step 5: Add the results together Now, we add the values: \[ 14 + 112 + 16 \] ### Step 6: Calculate the total First, add \( 14 + 16 = 30 \), then add \( 30 + 112 = 142 \). Thus, the approximate value that comes in place of the question mark (?) is: \[ \boxed{142} \]
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