Let's solve the expression step by step:
[tex]\[ 15 - 4 + 7 \times 18 \div 9 \][/tex]
1. Order of Operations (PEMDAS/BODMAS) Overview:
- Parentheses/Brackets
- Exponents/Orders (i.e. powers and roots, etc.)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
2. Handle the multiplication and division first:
[tex]\[ 7 \times 18 \div 9 \][/tex]
- First, perform the multiplication:
[tex]\[ 7 \times 18 = 126 \][/tex]
- Next, perform the division:
[tex]\[ 126 \div 9 = 14.0 \][/tex]
3. Now substitute this result back into the expression:
[tex]\[ 15 - 4 + 14.0 \][/tex]
4. Perform the addition and subtraction from left to right:
- First, subtract 4 from 15:
[tex]\[ 15 - 4 = 11 \][/tex]
- Then add 14.0 to 11:
[tex]\[ 11 + 14.0 = 25.0 \][/tex]
So, the final answer is:
[tex]\[ 25.0 \][/tex]
