Answer:
9.06
Step-by-step explanation:
To solve the expression \( 32.6 \div 10 - 5 \times (8 - 9.16) \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Parentheses:
\[
8 - 9.16 = -1.16
\]
So, the expression now is:
\[
32.6 \div 10 - 5 \times (-1.16)
\]
2. Division:
\[
32.6 \div 10 = 3.26
\]
So, the expression now is:
\[
3.26 - 5 \times (-1.16)
\]
3. Multiplication:
\[
5 \times (-1.16) = -5.8
\]
So, the expression now is:
\[
3.26 - (-5.8)
\]
4. Subtraction:
Subtracting a negative number is the same as adding the positive counterpart:
\[
3.26 + 5.8 = 9.06
\]
So, the result of \( 32.6 \div 10 - 5 \times (8 - 9.16) \) is \( 9.06 \).
Hope it helped!! <3
