Answer :
20 ÷ 2 (5 + 5) = 100.
Further explanation
In the 1500s the specific rules of the order of operation were promptly issued. The order of these workings states which processes take precedence (as a key priority) before which other operations.
Operation priorities are as follows.
- Brackets/Parentheses (simplify in it)
- Exponent
- Multiplication or Division (from left to right)
- Addition or Subtraction (from left to right)
Let's implement the rule.
[tex]\boxed{ \ 20 \div 2 (5 + 5) = \ ? \ }[/tex]
Add 5 by 5 in parentheses.
[tex]\boxed{ \ 20 \div 2 (10) = \ ? \ }[/tex]
Properly apply rule number 3 from the priority operation above. Initially, we have to divide 20 by 2 which is the result of 10
[tex]\boxed{ \ 10(10) = \ ? \ }[/tex]
Continuing with multiplication 10 by 10.
[tex]\boxed{ \ 10 \times 10 = 100 \ }[/tex]
So, the correct answer is
[tex]\boxed{ \ 20 \div 2 (5 + 5) = 100 \ }[/tex]
Notes:
What is the result if we don't follow operation priorities? Let's see.
At this crucial point.
[tex]\boxed{ \ 20 \div 2 (10) = \ ? \ }[/tex]
We decide to multiply 2 by 10, even though there are no parentheses from them, only parentheses for 10.
[tex]\boxed{ \ 20 \div 2 \times 10 = \ ? \ }[/tex]
[tex]\boxed{ \ 20 \div 20 = 1 \ }[/tex]
Therefore, the incorrect answer is
[tex]\boxed{ \ 20 \div 2 (5 + 5) = 1 \ }[/tex]
That's what happens if we don't follow operating priorities.
Unless the problem like this (see the parentheses carefully):
[tex]\boxed{ \ 20 \div (2 (5 + 5)) = ? \ }[/tex]
[tex]\boxed{ \ 20 \div (2 (10)) = ? \ }[/tex]
[tex]\boxed{ \ 20 \div 20 = 1 \ }[/tex]
Thus, the difference must be considered. Consistently, obey the priority of the operation and look at the problem in detail.
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Keywords: what is the correct answer to, 20 ÷ 2(5 + 5), the order of operation, operation priorities are as follows, parentheses, brackets, simplify, exponent, multiplication, division, from left to right, add, subtract
Answer:
To answer the question above, we need to know about the rules of mixed count operation. In mixed count operation, we can find plus [+], minus [-], divided [:], multiplication [x] and parenthesis [(...)]. For example, if the operation is: 7 x 5 + 3 - (4 x 3) : 6 = ...
first, we must finish the operation inside the parenthesis symbol, which is (4 x 3), the result is 12
second, we must finish the operation with the multiplication or divided symbol but, if both exist we must finish the far left-side first. for this example is to finish "7 x 5 = 35" first, then finish the next operation with divided symbol "(4 x 3) : 6 = 12 : 6 = 2"
for the last, we finish the operation with plus or minus symbol, but if both exist then we must finish the far left-side first. For this example is to finish "35 + 3 = 38", then finish the next operation which is "38 - 2 = 36".
there are the rules of mixed count operations, to make it clear we finish the example operation step by step
7 x 5 + 3 - (4 x 3) : 6 = ...
7 x 5 + 3 - 12 : 6 = ...
35 + 3 - 12 : 6 = ....
35 + 3 - 2 = ...
38 - 2 = 36.
now the answer to the mixed count operation above 20 : 2 (5 + 5) = ...
20 : 2 x (5 + 5) = ...
20 : 2 x 10 = ...
10 x 10 = 100
the answer of the operation is 100
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Answer Details
Subject: Mathematics
Chapter: Mixed Count Operation
Grade: High School
Keyword: What is the correct answer of 2 2?, How do you explain a math problem?, Do you use Bodmas if there are no Brackets?