To solve the expression $7 \times 7 - 7 \div 7 + 7$, we follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets: None here.
2. Exponents/Orders: None here.
3. Multiplication and Division (left to right):
   • $7 \times 7 = 49$
   • $7 \div 7 = 1$
4. Addition and Subtraction (left to right):
   • $49 - 1 + 7$
   • $48 + 7 = 55$

Final Answer:

$55$

Would you like more clarification or a step-by-step breakdown?

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Related Questions:

1. How do you prioritize operations in mathematical expressions?
2. What are examples of other expressions solved using PEMDAS?
3. How do parentheses affect the order of operations?
4. How does division differ from subtraction in terms of precedence?
5. Why is multiplication considered before addition in expressions?

Tip:

Always solve expressions systematically using the order of operations to avoid errors!