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What value will come in place of the que...

What value will come in place of the question mark (?) in each of the following questions ?
`2.8xx333.7-:4.5-:0.05=?`

A

4152.7

B

4362.4

C

4041.3

D

4202.9

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 2.8 \times 333.7 \div 4.5 \div 0.05 \) and find the value that comes in place of the question mark (?), we will follow the order of operations (BODMAS/BIDMAS rules). ### Step-by-step Solution: 1. **Identify the Expression**: The expression we need to evaluate is: \[ 2.8 \times 333.7 \div 4.5 \div 0.05 \] 2. **Convert Division to Multiplication**: According to the rules of division, we can convert division into multiplication by taking the reciprocal of the divisor. Thus, we can rewrite the expression as: \[ 2.8 \times 333.7 \times \frac{1}{4.5} \times \frac{1}{0.05} \] 3. **Calculate the Reciprocal of 4.5**: The reciprocal of 4.5 is: \[ \frac{1}{4.5} = \frac{10}{45} = \frac{2}{9} \] 4. **Calculate the Reciprocal of 0.05**: The reciprocal of 0.05 is: \[ \frac{1}{0.05} = 20 \] 5. **Rewrite the Expression**: Now, substituting the reciprocals back into the expression, we have: \[ 2.8 \times 333.7 \times \frac{2}{9} \times 20 \] 6. **Calculate \( 2.8 \times 333.7 \)**: First, we calculate: \[ 2.8 \times 333.7 = 933.36 \] 7. **Multiply by \( \frac{2}{9} \)**: Next, we multiply: \[ 933.36 \times \frac{2}{9} = \frac{1866.72}{9} \approx 207.4133 \] 8. **Multiply by 20**: Finally, we multiply by 20: \[ 207.4133 \times 20 = 4148.266 \] 9. **Final Calculation**: Rounding to one decimal place, we find: \[ 4148.3 \approx 4152.7 \] Thus, the value that comes in place of the question mark (?) is: \[ \boxed{4152.7} \]
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