Answer :

Louli

Answer:

100

Explanation:

Before we begin, you should remember the order of operations from left to right:

1- Parentheses

2- Exponential

3- Division/multiplication

4- Addition/subtraction

Now , the given is:

[tex] \frac{20}{2} * (5+5) [/tex]

We will start by resolving the brackets:

5+5 = 10

Therefore, the expression now is:

[tex] \frac{20}{2} * 10 [/tex]

Note that multiplication/division both have the same rank in the order of operations. This would mean that we will go from left to right and resolve whichever of them comes first.

In our expression, we can see that division comes first. So, we will start by division:

[tex] \frac{20}{2} = 10 [/tex]

The expression now became:

10 * 10

We will finally do the multiplication:

This would give us the final answer 100.

Combining all the above steps:

[tex] \frac{20}{2} * (5+5) = \frac{20}{2} * 10 = 10 * 10 = 100 [/tex]

Hope this helps :)


BladeRunner212

100

Further explanation

In the 1500s special rules of order of operations were issued. This sequence of work states which process takes precedence as the priority before other operations.

Operation priorities are as follows.

  1. Parentheses (simplify in it)
  2. Exponent
  3. Multiplication or Division (from left to right)
  4. Addition or Subtraction (from left to right)

Let's implement the rule.

[tex]\boxed{ \ 20/2(5 + 5) \ } \rightarrow \boxed{ \ 20 \div 2 (5 + 5) = \ ? \ }[/tex]

Inside the brackets, do the addition.

[tex]\boxed{ \ 20 \div 2 (10) = \ ? \ }[/tex]

Let us apply rule number 3 from the priority operation above. Operate on the left to right. We have to divide 20 by 2.

[tex]\boxed{ \ 10(10) = \ ? \ }[/tex]

The continuous operation ends with multiplication.

[tex]\boxed{ \ 10 \times 10 = 100 \ }[/tex]

Thus, the answer is  

[tex]\boxed{ \ 20/2(5 + 5) \ } \rightarrow \boxed{\boxed{ \ 20 \div 2 (5 + 5) = 100 \ }}[/tex]

Notes:

What if we don't follow the priority of the operation?

Look carefully at the following discussion.

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]

Hence, [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:  

[tex]\boxed{ \ 20 \div (2 (5 + 5)) = 1 \ }[/tex]

[tex]\boxed{ \ 20 \div (2 \times 10) = 1 \ }[/tex]

[tex]\boxed{ \ 20 \div 20 = 1 \ }[/tex]

Thus, the difference must be considered. Consequently, obey the priority of the operation and look at the problem in detail.

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Keywords: 20/2(5+5), 100, the order of operation, operation priorities are as follows, parentheses, brackets, simplify, exponent, multiplication, division, from left to right, add, subtract, obey the priority

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