Find out which is bigger. ( 3 + 3 - 5 ) × ( 15 - 5 ) × 10 - 99 or ( 15 × 2 ) ÷ 3 + ( 15 × 2 ) ÷ 10 - ( 15 × 2 ) ÷ 6

First, we shall simplify both the expressions and then, compare the results. We need to simplify a mathematical statement in a specific order. The operations within the brackets need to be performed according to the following preference (BODMAS rule): First, the bar or the vinculum . . . . . ¯ . Then, the first bracket or parenthesis Then, the second bracket or the curly bracket Lastly, the square bracket . The order of operation within brackets or when there are no brackets is: Of, Division, Multiplication, Addition and Subtraction. Thus, we have, ( 3 + 3 - 5 ) × ( 15 - 5 ) × 10 - 99 = ( 6 - 5 ) × 10 × 10 - 99 = 1 × 10 × 10 - 99 = 100 - 99 = 1 . And, ( 15 × 2 ) ÷ 3 + ( 15 × 2 ) ÷ 10 - ( 15 × 2 ) ÷ 6 = 30 ÷ 3 + 30 ÷ 10 - 30 ÷ 6 = 10 + 3 - 5 = 13 - 5 = 8 . Clearly, 8 > 1 . Therefore, ( 15 × 2 ) ÷ 3 + ( 15 × 2 ) ÷ 10 - ( 15 × 2 ) ÷ 6 is bigger.