Solve $$ 5+(3+2) \div 4 imes 3-2^{2} $$

Question

Solve $$ 5+(3+2) \div 4 	imes 3-2^{2} $$

UpStudy AI · Accepted Answer

Let's solve the expression $$ 5 + (3 + 2) \div 4 \times 3 - 2^{2} $$ step by step.

1. **Parentheses**: First, we calculate the expression inside the parentheses:
   $$
   3 + 2 = 5
   $$

2. **Substituting back**: Now, we substitute this back into the expression:
   $$
   5 + 5 \div 4 \times 3 - 2^{2}
   $$

3. **Exponents**: Next, we calculate the exponent:
   $$
   2^{2} = 4
   $$

4. **Substituting back**: Now, we substitute this back into the expression:
   $$
   5 + 5 \div 4 \times 3 - 4
   $$

5. **Division and Multiplication**: According to the order of operations, we perform the division and multiplication from left to right:
   $$
   5 \div 4 = 1.25
   $$
   Then multiply by 3:
   $$
   1.25 \times 3 = 3.75
   $$

6. **Substituting back**: Now, we substitute this back into the expression:
   $$
   5 + 3.75 - 4
   $$

7. **Addition and Subtraction**: Finally, we perform the addition and subtraction:
   $$
   5 + 3.75 = 8.75
   $$
   Then subtract 4:
   $$
   8.75 - 4 = 4.75
   $$

Thus, the final result of the expression $$ 5 + (3 + 2) \div 4 \times 3 - 2^{2} $$ is $$ 4.75 $$.
The result of the expression $$ 5 + (3 + 2) \div 4 \times 3 - 2^{2} $$ is $$ 4.75 $$.

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