Solve [(4+3)÷7+2÷2-2]÷5: Order of Operations Challenge

[(4+3):7+2:22]:5= \lbrack(4+3):7+2:2-2\rbrack:5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem step by step.
00:11 First, focus on the operations inside the parentheses.
00:19 Remember, division comes before addition and subtraction.
00:29 Now, calculate what's inside the parentheses.
00:33 Keep going! Follow the order of operations to simplify the expression.
00:39 And here's a tip: Zero divided by any number is always zero.
00:44 Great job! That's the solution.

Step-by-step written solution

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1

Understand the problem

[(4+3):7+2:22]:5= \lbrack(4+3):7+2:2-2\rbrack:5=

2

Step-by-step solution

Simplifying this expression emphasizes the order of operations, which states that multiplication precedes addition and subtraction, and that division precedes all of them,

In the given expression, the establishment of division operations between the parentheses (the outermost) to a number, therefore according to the order of operations as mentioned, is handled by simplifying the expression in these parentheses, this expression includes division operations that begin on the expression within the parentheses (the innermost), therefore according to the order of operations as mentioned is handled by simplifying the expression in these parentheses and performing the subtraction operations in it, there is no hindrance to calculate the outcome of the division operations in the expression in the outermost parentheses, but for the sake of good order this is done afterwards:

[(4+3):7+2:22]:5=[7:7+2:22]:5 \lbrack(4+3):7+2:2-2\rbrack:5= \\ \lbrack7:7+2:2-2\rbrack:5 Continuing and simplifying the expression in the parentheses we noted, since division precedes addition and subtraction, start with the division operations in the expression and only then calculate the outcome of the addition and subtraction, ultimately perform the division operations on this expression in the parentheses:

[7:7+2:22]:5[1+12]:5=0:5=0 \lbrack7:7+2:2-2\rbrack:5 \\ \lbrack1+1-2\rbrack:5=\\ 0:5=\\0 In the last stage we mentioned that multiplying a number by 0 gives the result 0,

Therefore, this simplifying expression is short so there is no need to elaborate,

And the correct answer here is answer A.

3

Final Answer

0 0

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\( 20\div(4+1)-3= \)

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