We can use the number line together a design to assist us visualize adding and individually of signed integers. Simply think of addition and subtraction as directions top top the number line. Over there are additionally several rules and properties that define how to perform these basic operations.
To add integers having actually the exact same sign, save the very same sign and include the absolute value of each number.
To add integers with various signs, keep the authorize of the number through the largest absolute value and also subtract the the smallest absolute worth from the largest.
You are watching: Two integers with the same sign
Subtract an essence by including its opposite.
Watch out! The negative of a an adverse is the opposite optimistic number. That is, for genuine numbers,
(a) = +a
Here"s how to add two confident integers:
4 + 7 = ?
If you start at positive 4 on the number line and also move seven units come the right, you end up at hopeful eleven. Also, this integers have the exact same sign, so you have the right to just store the sign and include their absolute values, to acquire the exact same answer, optimistic eleven.
Here"s exactly how to include two an unfavorable integers:
4 + (8) = ?
If you start at negative four on the number line and move eight devices to the left, you finish up at negative twelve. Also, this integers have the very same sign, therefore you can just store the an adverse sign and include their absolute values, to gain the exact same answer, an adverse twelve.
Here"s just how to add a hopeful integer come a an adverse integer:
3 + 6 = ?
If you start at an adverse three top top the actual number line and move 6 units to the right, you end up at confident three. Also, this integers have various signs,
so store the sign from the integer having the best absolute value and also subtract the the smallest absolute value from the largest.
Subtract three from six and keep the hopeful sign, again providing positive three.
Here"s exactly how to add a negative integer to a hopeful integer:
5 + (8) = ?
If you start at positive five on the genuine number line and also move eight units to the left, you finish up at an adverse three. Also, these integers have various signs, so store the authorize from the integer having actually the biggest absolute value and subtract the smallest absolute worth from the largest, or subtract 5 from eight and keep the negative sign, again giving an unfavorable three.
To subtract a number, add its opposite:
5  8 = ?
Because they give the same result, you have the right to see the subtracting eight from 5 is identical to adding an unfavorable eight to optimistic five. The price is  3.
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To subtract a number, add its opposite:
3  (6) = ?
Because they provide the exact same result, you have the right to see that subtracting an unfavorable six from negative three is equivalent to including positive 6 to an adverse three. The prize is 3.
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