Compare: (i) (7+9) × 10 and 7+9 × 10 (ii) [(-4-(6)] × (-2) and (-4) - 6 × -7

To compare these expressions, we need to evaluate them using the correct order of operations. The order of operations is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
(i) Compare ( 7 + 9 ) × 10 and 7 + 9 × 10

Expression 1: ( 7 + 9 ) × 10


First, solve the operation inside the parentheses: 7 + 9 = 16 .

Then, multiply the result by 10: 16 × 10 = 160 .
So, ( 7 + 9 ) × 10 = 160 .



Expression 2: 7 + 9 × 10


According to the order of operations, perform the multiplication first: 9 × 10 = 90 .

Then, perform the addition: 7 + 90 = 97 .
So, 7 + 9 × 10 = 97 .


By comparing the results, ( 7 + 9 ) × 10 = 160 is greater than 7 + 9 × 10 = 97 .
(ii) Compare [( − 4 − 6 )] × ( − 2 ) and ( − 4 ) − 6 × ( − 7 )

Expression 1: [( − 4 − 6 )] × ( − 2 )


First, solve the operation inside the brackets: − 4 − 6 = − 10 .

Then, multiply by − 2 : ( − 10 ) × ( − 2 ) = 20 .
So, [( − 4 − 6 )] × ( − 2 ) = 20 .



Expression 2: ( − 4 ) − 6 × ( − 7 )


According to the order of operations, perform the multiplication first: 6 × ( − 7 ) = − 42 .

Then, perform the subtraction: − 4 − ( − 42 ) = − 4 + 42 = 38 .
So, ( − 4 ) − 6 × ( − 7 ) = 38 .


By comparing the results, [( − 4 − 6 )] × ( − 2 ) = 20 is less than ( − 4 ) − 6 × ( − 7 ) = 38 .

Answered by RyanHarmon181 | 2025-07-21