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Find the approximate value of (?) in the...

Find the approximate value of (?) in the following questions.
`11.976 div 484.01 xx 846.99 + (15.99% "of 199") = ?`

A

53

B

32

C

39

D

48

Text Solution

AI Generated Solution

The correct Answer is:
To find the approximate value of the expression \(11.976 \div 484.01 \times 846.99 + (15.99\% \text{ of } 199)\), we will follow these steps: ### Step 1: Approximate the values - Approximate \(11.976\) to \(12\) - Approximate \(484.01\) to \(484\) - Approximate \(846.99\) to \(847\) - Approximate \(15.99\%\) to \(16\%\) - Approximate \(199\) to \(200\) ### Step 2: Rewrite the expression using the approximated values The expression now becomes: \[ 12 \div 484 \times 847 + (16\% \text{ of } 200) \] ### Step 3: Calculate \(16\%\) of \(200\) To find \(16\%\) of \(200\): \[ 16\% \text{ of } 200 = \frac{16}{100} \times 200 = \frac{16 \times 200}{100} = \frac{3200}{100} = 32 \] ### Step 4: Calculate \(12 \div 484 \times 847\) First, calculate \(12 \div 484\): \[ 12 \div 484 \approx \frac{12}{484} = \frac{12}{484} \approx 0.0248 \] Now, multiply this result by \(847\): \[ 0.0248 \times 847 \approx 21 \] ### Step 5: Combine the results Now we combine the two parts: \[ 21 + 32 = 53 \] ### Final Answer Thus, the approximate value of the expression is: \[ \boxed{53} \]
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