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
11 answers
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
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.
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
(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
(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.
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
Responses
4
4
6
6
5
5
2
To simplify the expression using the order of operations, we follow these steps:
1. Perform the division:
63 + 4 ÷ 2 + 44
= 63 + 2 + 44
2. Perform addition from left to right:
63 + 2 + 44
= 65 + 44
3. Perform the final addition:
65 + 44
= 109
Therefore, the simplified expression is 109.
1. Perform the division:
63 + 4 ÷ 2 + 44
= 63 + 2 + 44
2. Perform addition from left to right:
63 + 2 + 44
= 65 + 44
3. Perform the final addition:
65 + 44
= 109
Therefore, the simplified expression is 109.