Let's solve the expression step by step:

Given:  
\[ 7 \times 2 - 5 + \frac{6}{3} \]

1. First, perform the multiplication and division from left to right:
   \[ 7 \times 2 = 14 \]
   \[ \frac{6}{3} = 2 \]

So the expression becomes:
\[ 14 - 5 + 2 \]

2. Now, perform the addition and subtraction from left to right:
   \[ 14 - 5 = 9 \]
   \[ 9 + 2 = 11 \]

Thus, the value of the expression is \( 11 \).

Would you like further details on any of the steps?

Here are five related questions to explore:
1. How would the expression change if parentheses were added, like \( 7 \times (2 - 5) + \frac{6}{3} \)?
2. What happens if we replace multiplication with division, i.e., \( 7 \div 2 - 5 + \frac{6}{3} \)?
3. Can you solve similar expressions involving exponents, such as \( 7^2 - 5 + \frac{6}{3} \)?
4. How would the order of operations change if subtraction was done before multiplication?
5. How would the result change if all operations were rounded to the nearest integer at each step?

**Tip:** Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).

Learn how to solve the arithmetic expression 7×2-5+6÷3 step by step using the order of operations (PEMDAS). This example demonstrates how multiplication, division, subtraction, and addition are applied in sequence. Suitable for students in Grades 5-7.

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