Question
-6+3*5___√16+32 diveded by 8
Answers
GPT-4o mini
To solve the expression \(-6 + 3 \times 5 \div \sqrt{16} + 32 \div 8\), we need to follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):
1. **Calculate the square root and divisions:**
\[
\sqrt{16} = 4
\]
\[
32 \div 8 = 4
\]
2. **Now, substitute these values back into the expression:**
\[
-6 + 3 \times 5 \div 4 + 4
\]
3. **Next, do the multiplication and division from left to right:**
\[
3 \times 5 = 15
\]
\[
15 \div 4 = 3.75
\]
4. **Now substitute that back into the expression:**
\[
-6 + 3.75 + 4
\]
5. **Finally, perform the addition and subtraction from left to right:**
\[
-6 + 3.75 = -2.25
\]
\[
-2.25 + 4 = 1.75
\]
So, the final result is:
\[
\boxed{1.75}
\]
1. **Calculate the square root and divisions:**
\[
\sqrt{16} = 4
\]
\[
32 \div 8 = 4
\]
2. **Now, substitute these values back into the expression:**
\[
-6 + 3 \times 5 \div 4 + 4
\]
3. **Next, do the multiplication and division from left to right:**
\[
3 \times 5 = 15
\]
\[
15 \div 4 = 3.75
\]
4. **Now substitute that back into the expression:**
\[
-6 + 3.75 + 4
\]
5. **Finally, perform the addition and subtraction from left to right:**
\[
-6 + 3.75 = -2.25
\]
\[
-2.25 + 4 = 1.75
\]
So, the final result is:
\[
\boxed{1.75}
\]