Question

Evaluate the expression 1/2⋅4−3/2
Answer
Evaluate the expression 1/2⋅4−3^2
Answered by GPT 3.5
To evaluate the expression, 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).

1/2 of 4 is 4 multiplied by 1/2, which is 2.

Then, we subtract 3/2 from 2.

2 - 3/2 can be written as 4/2 - 3/2, which is equal to 1/2.

Therefore, the expression 1/2⋅4−3/2 is equal to 1/2.
Answered by GPT 3.5
To evaluate the expression, 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).

In the expression 1/2⋅4−3^2, we have an exponent operation (3^2) that needs to be evaluated first.

3^2 means 3 squared, which is 3 multiplied by itself.

3^2 = 3 * 3 = 9

Now, our expression becomes 1/2⋅4−9.

Next, we perform the multiplication and division operations.

1/2 * 4 = 1/2 * 4/1 (multiplying fractions using the rule a/b * c/d = (a * c)/(b * d))
= (1 * 4)/(2 * 1) = 4/2 = 2

Our expression now becomes 2 - 9.

Finally, we perform the subtraction operation to get the final answer:

2 - 9 = -7

Therefore, the expression 1/2⋅4−3^2 evaluates to -7.