Question

What is the value of \[11 - \left( { - 6} \right)\]?

Answer 1

Hint: In this question, we have to simplify the given expression. To simplify a given problem we need to use the BODMAS rule.
Rule:
 B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
First, we remove the bracket and for doing that we need to multiply the negative sign outside the bracket with the first term within the bracket with negative sign then we will apply the operation By BODMAS rule. simplifying this we will get the required solution.

Complete step-by-step solution:
It is given that, \[11 - \left( { - 6} \right)\].
We need to simplify \[11 - \left( { - 6} \right)\].
To simplify the given expression we need to follow the BODMAS rule. For that we have to remove the bracket first. We will remove the bracket by multiplying the negative sign outside the bracket with the first term with negative sign within the bracket. We know that multiplication of two negative signs will give positive signs then adding these two terms will give us the required result.
\[11 - \left( { - 6} \right)\]
\[ = 11 + 6\]
\[ = 17\]
Therefore, \[11 - \left( { - 6} \right) = 17\].
Hence simplifying \[11 - \left( { - 6} \right)\], we get \[17\].

Note: Algebraic operation:
In mathematics, a basic algebraic operation is any one of the common operations of arithmetic, which include addition, subtraction, multiplication, division, raising to an integer power, and taking roots (fractional power).
To simplify algebraic expressions we will consider highest power first then less the powers accordingly and end it with the constant term.
“Operations” mean things like add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.
You need to always follow the BODMAS rule. Calculate them in the wrong order, and you can get a wrong answer.