Solve (0/(5+4÷2))-(5+3)÷4: Order of Operations Challenge

Question

05+4:2(5+3):4= \frac{0}{5+4:2}-(5+3):4=

Video Solution

Solution Steps

00:00 Solve
00:03 0 divided by any number different from 0 is always equal to 0
00:06 In our fraction the numerator is 0
00:09 and the denominator is different from 0 therefore the entire expression equals 0
00:14 Always solve parentheses first
00:18 Continue solving according to proper order of operations
00:23 And this is the solution to the question

Step-by-Step Solution

This simple rule is the foundation of the order of operations which states that exponentiation precedes multiplication and division, which precede addition and subtraction, and that operations enclosed in parentheses precede all others,

First, we pay special attention to the given rule, the first break from the left is the number 0, remember that dividing the number 0 by any number always yields the result 0, (except dividing by the number 0 itself, which is generally forbidden, even though this simple rule that breaks in the given rule, in accordance with the order of operations mentioned, means that this break is worth nothing) therefore the value of this break is 0 and therefore we can simply omit it entirely (as if - the entire break) from the given rule, as this is a common practice that does not contribute anything in terms of numerical value,

05+4:2(5+3):4=0(5+3):4=(5+3):4= \frac{0}{5+4:2}-(5+3):4= \\ \downarrow\\ 0-(5+3):4= \\ -(5+3):4= As usual we should not forget to keep the negative sign after the break, as this minus sign indicates multiplication by negative one,

We will continue and simplify this rule,

In accordance with the order of operations mentioned we will start with the multiplication and division operations, next we will calculate the result of the division operation:

(5+3):4=8:4=2 -(5+3):4=\\ -8:4=\\ -2 In the last step we did not forget that dividing a positive number by a negative number yields a negative result,

We received that the correct answer is answer c.

Answer

2 -2