If 'A' means '+', 'B' means '–', 'C' means '×', and 'D' means '÷', then what is the value of \(18 \, C \, 14 \, A \, 6 \, B \, 16 \, D \, 4\)?
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In symbol substitution problems, always first convert the symbols into their actual operations and then apply the BODMAS rule to evaluate the expression correctly.
Concept:
In symbolic operation questions, first replace the symbols with their actual mathematical operations and then solve the expression using the BODMAS rule (Bracket, Order, Division, Multiplication, Addition, Subtraction).
Given:
\[
A = +,\quad B = -,\quad C = \times,\quad D = \div
\]
Step 1:Replace the symbols with the corresponding operations.
\[
18 \times 14 + 6 - 16 \div 4
\]
Step 2:Apply the BODMAS rule (perform multiplication and division first).
\[
18 \times 14 = 252
\]
\[
16 \div 4 = 4
\]
So the expression becomes:
\[
252 + 6 - 4
\]
Step 3:Perform addition and subtraction.
\[
252 + 6 = 258
\]
\[
258 - 4 = 254
\]
Thus, the value of the expression is:
\[
254
\]