To solve the expression \( 15 + 5 -: 5 \times 2 \), we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
### Step-by-Step Solution:
1. **Identify the operations**: The expression consists of addition, division, and multiplication. According to BODMAS, we will perform division and multiplication before addition.
2. **Rewrite the expression**: The expression can be rewritten as:
\[
15 + \left( \frac{5}{5} \times 2 \right)
\]
Here, we interpret "-:" as division.
3. **Perform the division**: Calculate \( \frac{5}{5} \):
\[
\frac{5}{5} = 1
\]
4. **Substitute back into the expression**: Now, substitute the result back into the expression:
\[
15 + (1 \times 2)
\]
5. **Perform the multiplication**: Calculate \( 1 \times 2 \):
\[
1 \times 2 = 2
\]
6. **Substitute back again**: Now, substitute this result back into the expression:
\[
15 + 2
\]
7. **Perform the addition**: Finally, calculate \( 15 + 2 \):
\[
15 + 2 = 17
\]
### Final Answer:
Thus, the value of the expression \( 15 + 5 -: 5 \times 2 \) is \( 17 \).
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