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Evaluate the given expression. {15×32÷2×5}÷75
14
18
12
16
16
Calculate the value inside the brackets first by performing multiplication and division from left to right, then divide by 75. Note that 15×5=75, which cancels out the final division.
The expression is {15 × 32 ÷ 2 × 5} ÷ 75
BODMAS=Brackets, Orders, Division, Multiplication, Addition, Subtraction
Calculate the value inside the brackets first by performing multiplication and division from left to right, then divide by 75. Note that 15×5=75, which cancels out the final division.
Performing the multiplication 2×5 before the division 32÷2 violates the left-to-right rule for multiplication/division.
Solve Brackets
Follow the left-to-right rule for multiplication and division within the braces: 15×32=480; 480÷2=240; 240×5=1200.
15×32÷2×5=1200
Divide by 75
Perform the final division operation on the result obtained from the bracket.
1200÷75=16
D is correct because the evaluated result of the expression {15 × 32 ÷ 2 × 5} ÷ 75 is 16.
Always remember that in sequences of multiplication and division, you MUST process operations strictly from left to right.
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