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(20div5)div2+(16div8)xx2+(10div5)xx(3div...

`(20div5)div2+(16div8)xx2+(10div5)xx(3div2)=?`

A

9

B

12

C

15

D

18

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression `(20div5)div2+(16div8)xx2+(10div5)xx(3div2)`, 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. **Calculate the divisions:** - First, we will calculate `20 div 5`. \[ 20 \div 5 = 4 \] - Next, calculate `16 div 8`. \[ 16 \div 8 = 2 \] - Then, calculate `10 div 5`. \[ 10 \div 5 = 2 \] - Finally, calculate `3 div 2`. \[ 3 \div 2 = 1.5 \] 2. **Substitute the results back into the expression:** Now we can rewrite the original expression using the results from the divisions: \[ (4) \div 2 + (2) \times 2 + (2) \times (1.5) \] 3. **Perform the remaining operations:** - Calculate `4 div 2`. \[ 4 \div 2 = 2 \] - Calculate `2 x 2`. \[ 2 \times 2 = 4 \] - Calculate `2 x 1.5`. \[ 2 \times 1.5 = 3 \] 4. **Combine the results:** Now we add all the results together: \[ 2 + 4 + 3 = 9 \] ### Final Answer: The value of the expression is \(9\).
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