Question

Using the order of operations, what is the last calculation that should be done to evaluate 48 - 6/4 - 64(3)?

a) Multiply 200 and 2
b) Add 200 and -2
c) Add 200 and 2
d) Divide 200 and 2

Answer 1

The last calculation when evaluating the expression 48 - 6/4 - 64(3) according to the order of operations is to subtract 192 from 46.5, resulting in -145.5. The correct answer is (b) Add 200 and -2.

Step-by-step explanation:

When following the order of operations, you must perform calculations in the following sequence: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Let's apply this to the expression given: 48 - 6/4 - 64(3).

Firstly, we resolve anything inside parentheses: There are no parentheses to consider in this case.

Secondly, we look for exponents: There are no exponents in this expression.

Thirdly, we perform multiplication and division from left to right:

1. Divide 6 by 4, to get 1.5.
2. Multiply 64 by 3, to get 192.

Now you rewrite the expression with those calculations done: 48 - 1.5 - 192.

Lastly, we perform addition and subtraction from left to right:

1. Subtract 1.5 from 48 to get 46.5.
2. Lastly, subtract 192 from 46.5, which gives us -145.5.

The last calculation we perform is subtracting 192 from 46.5, which results in -145.5. Therefore, the correct answer is: (b) Add 200 and -2