Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points.
16 ÷4⋅2
I know the answer to the problem I just want know how write it out
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points.
90÷[10+(32−4)]
90÷10+3^2 -4
Is 90÷10+3^2 -4 = 15?
To simplify using the order of operations for the expression 16 ÷ 4 ⋅ 2, we follow the PEMDAS acronym which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Step 1: Perform the division operation:
16 ÷ 4 = 4
Step 2: Perform the multiplication operation:
4 ⋅ 2 = 8
Therefore, the simplified expression is 8.
To simplify the expression 16 ÷ 4 ⋅ 2 using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), you would follow these steps:
Step 1: Parentheses
There are no parentheses in the expression, so we move on to the next step.
Step 2: Exponents
There are no exponents in the expression, so we move on to the next step.
Step 3: Multiplication and Division (left to right)
In this step, we perform each multiplication and division operation from left to right. In the given expression, we start with division.
16 ÷ 4 = 4
Now the expression becomes:
4 ⋅ 2
Next, we perform the multiplication:
4 ⋅ 2 = 8
So the simplified expression is 8.
To write out the steps, you would write it like this:
16 ÷ 4 = 4
4 ⋅ 2 = 8
Therefore, 16 ÷ 4 ⋅ 2 simplifies to 8.
Moving on to the next problem:
To simplify the expression 90÷[10+(32−4)] ÷ 10+3^2 -4 (assuming the slash (/) represents division), you would follow the same order of operations:
Step 1: Parentheses
Inside the parentheses, we have 32 - 4. Performing the subtraction:
32 − 4 = 28
Now the expression becomes:
90 ÷ [10 + 28] ÷ 10 + 3^2 - 4
Step 2: Exponents
We have an exponent, 3^2, which means raising 3 to the power of 2:
3^2 = 9
Now the expression becomes:
90 ÷ [10 + 28] ÷ 10 + 9 - 4
Step 3: Multiplication and Division (left to right)
Performing the addition inside the parentheses:
10 + 28 = 38
Now the expression becomes:
90 ÷ 38 ÷ 10 + 9 - 4
Next, perform the division:
90 ÷ 38 ≈ 2.368 (rounded to three decimal places)
Now the expression becomes:
2.368 ÷ 10 + 9 - 4
Step 4: Addition and Subtraction (from left to right)
Perform the division:
2.368 ÷ 10 ≈ 0.237 (rounded to three decimal places)
Now the expression becomes:
0.237 + 9 - 4
Next, perform the addition:
0.237 + 9 ≈ 9.237 (rounded to three decimal places)
Now the expression becomes:
9.237 - 4
Finally, perform the subtraction:
9.237 - 4 ≈ 5.237 (rounded to three decimal places)
Therefore, 90÷[10+(32−4)] ÷ 10+3^2 - 4 simplifies to approximately 5.237.
To write out the steps, you would write it like this:
32 − 4 = 28
10 + 28 = 38
3^2 = 9
90 ÷ 38 ≈ 2.368
2.368 ÷ 10 ≈ 0.237
0.237 + 9 ≈ 9.237
9.237 - 4 ≈ 5.237
Therefore, 90÷[10+(32−4)] ÷ 10+3^2 - 4 simplifies to approximately 5.237.