Question

Which of the following options is the closest approximate value which will come in place of question mark (?) in the following equation?

$12.999 - 3.998 + 14.002 \times 3.998 + 27.008 \div 3.001 + 35.999 \div 5.998 = ?$

• A. 89
• B. 80
• C. 72
• D. 68

Answer 1

Answer:

B. 80

The closest approximate value which will come in place of the question mark is 80.

1. Approximate each decimal to the nearest whole number:

• $12.999 \approx 13$

• $3.998 \approx 4$

• $14.002 \approx 14$

• $27.008 \approx 27$

• $3.001 \approx 3$

• $35.999 \approx 36$

• $5.998 \approx 6$

2. Substitute the values into the equation:
$13 - 4 + 14 \times 4 + 27 \div 3 + 36 \div 6 = ?$

3. Apply the BODMAS rule (Division and Multiplication first):

• Division: $27 \div 3 = 9$ and $36 \div 6 = 6$

• Multiplication: $14 \times 4 = 56$

Now substitute these results back into the expression:
$13 - 4 + 56 + 9 + 6 = ?$

4. Perform Addition and Subtraction:

• Add all positive numbers: $13 + 56 + 9 + 6 = 84$

• Subtract the remaining number: $84 - 4 = \mathbf{80}$