What is the expression 17⋅2−4^2+6 in simplest form?
To simplify the expression 17⋅2−4^2+6, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we evaluate the exponent 4^2, which equals 16.
So the expression becomes 17⋅2−16+6.
Next, we multiply 17 and 2, which equals 34.
So the expression becomes 34−16+6.
Finally, we subtract 16 from 34, which equals 18.
So the final simplified expression is 18+6.
Adding 18 and 6, we get the simplest form of the expression: 24.
Solve the multi-step problem (1/2)⋅4\2−(4−6)/2.
To solve the multi-step problem (1/2)⋅4\2−(4−6)/2, we follow the order of operations.
First, we simplify within parentheses.
Inside the parentheses, we have (4 - 6).
Evaluating this expression, we get -2.
So the expression becomes (1/2)⋅4\2-(-2)/2.
Next, we perform the division operation 4\2.
4 divided by 2 equals 2.
So the expression becomes (1/2)⋅2-(-2)/2.
Now, we simplify the multiplication operation (1/2)⋅2.
(1/2) multiplied by 2 equals 1.
So the expression becomes 1-(-2)/2.
Next, we simplify the subtraction operation 1-(-2).
When subtracting a negative number, it turns into adding the positive.
So 1 - (-2) becomes 1 + 2, which equals 3.
So the expression becomes 3/2.
Finally, we have the division operation 3/2.
Dividing 3 by 2, we get 1.5.
Therefore, the solution to the multi-step problem is 1.5.
To simplify the expression 17⋅2−4^2+6, we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, let's evaluate the exponent, 4^2:
4^2 = 4 * 4 = 16.
Now the expression becomes:
17⋅2 - 16 + 6.
Next, we perform the multiplication:
17⋅2 = 34.
The expression is now simplified to:
34 - 16 + 6.
Finally, we perform the addition and subtraction:
34 - 16 + 6 = 18.
Therefore, the expression 17⋅2−4^2+6 simplifies to 18.
To simplify the expression 17⋅2−4^2+6, follow the order of operations, also known as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
1. Start by evaluating the exponent. In this case, 4^2 means 4 raised to the power of 2, which equals 16.
2. Now rewrite the expression with the exponent evaluated: 17⋅2−16+6.
3. Next, perform the multiplication: 17⋅2 equals 34.
4. Now rewrite the expression with the multiplication evaluated: 34−16+6.
5. Finally, perform the addition and subtraction from left to right: 34−16 equals 18, and 18+6 equals 24.
Therefore, the expression 17⋅2−4^2+6 simplifies to 24.