The expression 5(7 − 4)2 ÷ 3 + 11 is equal to 20.9
Solution:
Given expression is 5(7 − 4)2 ÷ 3 + 11
We need to evaluate the given expression
Let us use "BODMAS" rule
BODMAS means sequence of operations which are Brackets, Order, Division, Multiplication, Addition and then Subtraction.
Now solve the given expression
5(7 − 4)2 ÷ 3 + 11
First "brackets" are to be solved as per BODMAS
5(3)2 ÷ 3 + 11
Now division is performed, 2 is divided by 3 to give 0.66
![=5(3) * 0.66+11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qzkacqyrd9cnfo1d0oi10kw50dn9t0jt3v.png)
Now "brackets" is solved
![15 * 0.66 + 11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cc8oz17qpow24uzijyi8uxchggk5icfmlb.png)
Now multiplication is performed
9.9 + 11
Atlast, addition is performed
20.9
Hence 5(7 − 4)2 ÷ 3 + 11 is equal to 20.9