Consider the expression (16−12)2+5(8+22)53−(1+4)2
. What is the simplified numerator?(1 point)
Responses
54
54
42+60
4 squared plus 60
100
100
76
76
Use the Commutative Property of Multiplication to rewrite the algebraic expression: k17⋅z33
.
z33⋅k17
Which expression correctly demonstrates the Commutative Property of Multiplication?(1 point)
Responses
15(x+4)=15(x⋅4)
15 left parenthesis x plus 4 right parenthesis equals 15 left parenthesis x times 4 right parenthesis
15⋅(x)⋅4=4⋅15⋅(x)
15 times left parenthesis x right parenthesis times 4 equals 4 times 15 times left parenthesis x right parenthesis
15⋅x⋅4=4+15+x
15 times x times 4 equals 4 plus 15 plus x
x+4+15=15+4+x
15⋅(x)⋅4=4⋅15⋅(x)
To simplify the expression (16−12)2+5(8+22)53−(1+4)2, follow the order of operations (PEMDAS):
(16−12)2+5(8+22)53−(1+4)2
First, solve the parentheses:
(16−12)2+5(30)53−(1+4)2
Next, perform the exponentiation:
(4)2+5(30)53−(1+4)2
Now, simplify the multiplication and addition inside the parentheses:
16+150−(1+4)2
Perform the addition inside the parentheses:
16+150−52
Next, perform the remaining addition and subtraction:
166−52
Finally, perform the subtraction:
114
Therefore, the simplified numerator is 114.
To simplify the given expression:
Start by evaluating the parentheses first.
Step 1: (16−12) = 4
Step 2: (8+22) = 30
Step 3: (1+4) = 5
Now substitute these values back into the expression:
(4)^2 + 5(30) / 53 − (5)^2
Next, perform the exponentiation:
16 + 5(30) / 53 − 25
Now multiply and divide from left to right:
16 + 150 / 53 − 25
Perform division:
16 + 2.83 − 25
Combine like terms:
−6.17
Therefore, the simplified numerator is -6.17.