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1010 - 5 - 36 + 187 * 20.05 = ?...

`1010 - 5 - 36 + 187 * 20.05 = ?`

A

a. 3650

B

b. 3770

C

c. 3825

D

d. 3800

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 1010 - 5 - 36 + 187 \times 20.05 \), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Identify the operations**: The expression consists of subtraction, addition, and multiplication. According to BODMAS, we perform multiplication before addition and subtraction. 2. **Approximate the multiplication**: \[ 187 \times 20.05 \approx 187 \times 20 \] Since \( 20.05 \) is very close to \( 20 \), we can use \( 20 \) for approximation. 3. **Calculate the multiplication**: \[ 187 \times 20 = 3740 \] 4. **Substitute back into the expression**: \[ 1010 - 5 - 36 + 3740 \] 5. **Perform the subtractions**: \[ 1010 - 5 = 1005 \] \[ 1005 - 36 = 969 \] 6. **Add the result of the multiplication**: \[ 969 + 3740 = 4709 \] ### Final Answer: \[ 1010 - 5 - 36 + 187 \times 20.05 \approx 4709 \]
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