In the expression -60(-2+12), we can simplify the parentheses first using the order of operations, which tells us to perform operations inside parentheses before multiplication.
-2+12 = 10
Substituting this back into the original expression, we get:
-60(10)
This simplifies to:
-600
On the other hand, the expression (-60)×(-2)×(-60)×12 can be simplified using the rules of multiplication of integers. When two negative numbers are multiplied, the result is a positive number. Therefore, we have:
(-60)×(-2)×(-60)×12 = (60)×(2)×(60)×12
This simplifies to:
86,400
So the two expressions have different values.
The expression -60(-2+12) evaluates to -600.
The expression (-60)×(-2)×(-60)×12 evaluates to 86,400.
Answers & Comments
[tex]60(-2+12)=(-60)×(-2) \\ ×(-60)×12 \\ \\ 60(10) = 120 \times ( - 12) \\ \\ 600 ≠ 1,440[/tex]
Step-by-step explanation:
In the expression -60(-2+12), we can simplify the parentheses first using the order of operations, which tells us to perform operations inside parentheses before multiplication.
-2+12 = 10
Substituting this back into the original expression, we get:
-60(10)
This simplifies to:
-600
On the other hand, the expression (-60)×(-2)×(-60)×12 can be simplified using the rules of multiplication of integers. When two negative numbers are multiplied, the result is a positive number. Therefore, we have:
(-60)×(-2)×(-60)×12 = (60)×(2)×(60)×12
This simplifies to:
86,400
So the two expressions have different values.
The expression -60(-2+12) evaluates to -600.
The expression (-60)×(-2)×(-60)×12 evaluates to 86,400.