Jillian simplified the expression 3+2⋅(14−9)2
in the following way:
3+2⋅(14−9)2
3+2⋅(5)2
3+102
3+100
103
What was the error?
Responses
In line 3, Jillian should have simplified the exponent term 52
before multiplying 2 ⋅ 5
In line 3, Jillian should have simplified the exponent term 5 squaredbefore multiplying 2 ⋅ 5
There is no error, Jillian simplified correctly.
There is no error, Jillian simplified correctly.
Jillian incorrectly simplified by doing multiplication before addition.
Jillian incorrectly simplified by doing multiplication before addition.
Jillian should have added 3 + 2 in line 2 before doing (14−9)2
.
Jillian incorrectly simplified by doing multiplication before addition.
Jillian incorrectly simplified by doing multiplication before addition.
The correct response is:
Jillian incorrectly simplified by doing multiplication before addition.
Explanation: In line 2, Jillian should have first added 3 and 2 before continuing with the simplification. Instead, she directly multiplied 2 with the result of (14-9), which led to an incorrect answer. The correct order of operations is to perform the addition/subtraction before multiplication in this expression.