find some examples on algebraic calculations of integer
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You already know how to add 3 + 4 and so on. But there are many ways to add integers. One way to add integers is by using a number line.
Example
$$ -4+(-3)=\, ?$$
We always start at zero. Our first number is negative four (-4) so we move 4 units to the left. We then have plus negative three (-3) which is the same as subtracting 3 so we move 3 more units to the left. This gives us the value of negative seven, (-7).
$$-4+(-3)=\, ?$$
$$-4-3=-7$$
We do the same thing if we have a positive integer, but instead we move to the right.
$$-4+3=\, ?$$
$$-4+3=-1$$
You can also add integers and variables.
Example
$$13x+(-2)x=\, ?$$
$$13x-2x=$$
$$(13-2)x=11x$$
Example
$$ -4+(-3)=\, ?$$
We always start at zero. Our first number is negative four (-4) so we move 4 units to the left. We then have plus negative three (-3) which is the same as subtracting 3 so we move 3 more units to the left. This gives us the value of negative seven, (-7).
$$-4+(-3)=\, ?$$
$$-4-3=-7$$
We do the same thing if we have a positive integer, but instead we move to the right.
$$-4+3=\, ?$$
$$-4+3=-1$$
You can also add integers and variables.
Example
$$13x+(-2)x=\, ?$$
$$13x-2x=$$
$$(13-2)x=11x$$
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