Answer:
28.3
Explanation:
To solve this problem, we must follow PEMDAS, which must be used in solving all mathematical equations and expressions.
PEMDAS is the order you solve the equation/expression in. It is an acronym for:
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Keep in mind that multiplication and division are too be done left and right. You do not do multiplication first and division last, read left to right. Same goes with addition and subtraction.
This is the less confusing notation of PEMDAS.
P: Parenthesis
E: Exponents
M: Multiplication D: Division
A: Addition S: Subtraction
Now, lets solve the problem.
92.3 - (3.2 ÷ 0.4) × 2³
What do we do first? Well since parenthesis is first according to PEMDAS, we must solve the division in side of the parenthesis first.
3.2/0.4 = 8
Now we have:
92.3 - (8) × 2³
Remove the parenthesis as there is only one term inside and therefore not needed.
92.3 - 8 × 2³
What do we do next?
We have:
Subtraction: 92.3 - 8
Multiplication: -8 × 2³
Exponent: 2³
Because PEMDAS states exponents is to be solved in front of multiplication/division and addition/subtraction, we must do that.
What is an exponent?
2³
2 is the base, 3 is the exponent.
2³
Means multiplying 2 by itself 3 times:
2 × 2 × 2
8
Now we have:
92.3 - 8 × 8
Because PEMDAS states solving multiplication/division is prioritized over addition/ subtraction, we must solve 8 × 8
8 × 8 = 64
Now we have: 92.3 - 64
Solve.
28.3