Question

How do you find the difference \[4-\left( -6 \right)\]?

Answer 1

Hint: From the question given, we have been asked to simplify \[4-\left( -6 \right)\]. We can simplify the given question by using the basic properties of addition and subtraction. By using the basic fundamental properties of addition and subtraction we can simplify the given question.

Complete step by step solution:
From the question, we have been given that \[4-\left( -6 \right)\]
It is generally better not to have two signs right next to each other. Brackets can be used to understand the given question correctly and it will be easier to simplify the given question if we use the brackets.
As we have been discussed in the above lines, after applying the brackets, we can write the given question as \[\left[ 4-\left( -6 \right) \right]\]
Now, it will be easier to simplify the question.
We know that negative or negative will give positive signs.
By using this property, we will open the braces inside the square bracket and bring the – sign outside, so the expression \[\left[ 4-\left( -6 \right) \right]\] we will get,
Now, we know that a negative of a negative will become positive, which we mentioned above by using this property the expression will be reduced as follows.
\[\Rightarrow \left[ 4+\left( 6 \right) \right]\]
In the above expression the number 4 and 6 have positive signs. So, both of them have no issue with any sign change problems in the simplification process.
So, we simplify the expression using the addition property. After doing we get,
\[\Rightarrow \left[ 4+\left( 6 \right) \right]\]
\[\Rightarrow 10\]
Therefore \[10\] is the simplified answer for the given question.

Note:
We should be very careful while simplifying the equation because this problem contains a lot of sign changes. A single sign change can turn the whole problem. So, we should be very careful while doing the simplification for this question. We should have some basic knowledge about addition and subtraction. At once looking at the question it confuses.