Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7 .(1 point)
Responses
36
36
120
120
80
80
2,478
The correct answer is 80.
Use the order of operations to simplify 12−23+4÷2+24 .(1 point)
Responses
24
24
22
22
20
20
14
The correct answer is 15.
12−2^3+4÷2+2^4
To simplify the expression using the order of operations, we follow these steps:
1. Evaluate exponentiation:
12 - 2^3 + 4 ÷ 2 + 2^4
= 12 - 8 + 4 ÷ 2 + 16
= 12 - 8 + 2 + 16
2. Perform multiplication and division from left to right:
12 - 8 + 2 + 16
= 4 + 2 + 16
= 6 + 16
= 22
Therefore, the simplified expression is 22.
According to the order of operations, which step should be completed first in the following expression: 6−3⋅1^18÷2⋅4+8 ?
(1 point)
Responses
multiplication
multiplication
exponent
exponent
division
division
subtraction
According to the order of operations, the first step that should be completed is the exponentiation step.
Use PEMDAS to simplify: 72÷12+26−8⋅3 .
(1 point)
Responses
8
8
56
56
72
72
−10
To simplify the expression using PEMDAS, we follow these steps:
1. Perform multiplication and division from left to right:
72 ÷ 12 + 26 − 8 ⋅ 3
= 6 + 26 − 8 ⋅ 3
2. Perform addition and subtraction from left to right:
6 + 26 − 8 ⋅ 3
= 32 − 8 ⋅ 3
3. Perform the remaining multiplication:
32 − 8 ⋅ 3
= 32 − 24
4. Perform the subtraction:
32 − 24
= 8
Therefore, the simplified expression is 8.
Use the order of operations to simplify: 63 +4÷2+44 .(1 point)
Responses
4
4
6
6
5
5
2