Final answer:
Using the order of operations, (8+10) x 15 equals 270 and 8 + 10 x 15 equals 158, therefore, (8+10) x 15 is greater than 8 + 10 x 15.
Step-by-step explanation:
The mathematical expressions (8+10) x 15 and 8 + 10 x 15 depend on the order of operations, also referred to as BODMAS or PEMDAS. BODMAS stands for Brackets, Orders, Division and Multiplication, Addition and Subtraction. In PEMDAS it's parentheses, exponents, multiplication and division, addition and subtraction.
Applying these rules, the first expression (8+10) x 15 equals 270. The summation in brackets happens first (18), and then is multiplied by 15.
The second expression 8 + 10 x 15 equals 158. According to BODMAS/PEMDAS principles, multiplication happens before addition. So, 10 is multiplied by 15 (150), and then 8 is added.
Therefore, (8+10) x 15 is greater than 8 + 10 x 15.
Learn more about Order of Operations