What are the different ways of adding, subtracting, multiplying, and dividing integers?
The following content shows the rules for adding, subtracting, multiplying, and dividing positive and negative numbers.
Adding Integers Rule:
Case 1: Signs are the same
If the signs are the same, add and keep the same sign.
(+) + (+) = Add the numbers and the answer is positive
Example : 2 + 5 = 7
(‐) + (‐) = Add the numbers and the answer is negative
Example : (-5) + (-4) = -9
Case 2: Signs are different
If the signs are different, subtract the numbers and use the sign of the larger number.
(+) + (‐) = Subtract the numbers and take the sign of the bigger number.
Example: 7 + (-3) = 4
(‐) + (+) = Subtract the numbers and take the sign of the bigger number.
Example: (-9) + 6 = -3
Subtracting Integers Rule:
To subtract a number from another number, the sign of the number (which is to be subtracted) should be changed and then this number with the changed sign should be added to the first number.
(+) - (+) = Change the sign of the number to be subtracted and add them up. The result takes the sign of the greater number.
Example: (+6) – (+2)
= (+6) + (-2) = 6 - 2 = 4
(-) - (-) = Change the sign of the number to be subtracted and add them up.The result takes the sign of the greater number.
Example: (-9) – (-6)
= (-9) + (+6) = -9 + 6 = -3
(+) - (-) = Change the sign of the number to be subtracted and add them up.
Example: (+5) – (-3)
= (+5) +(+3) = 5 + 3 = 8
(-) - (+) = Change the sign of the number to be subtracted and add them up. Result is always negative
Example: (-7) – (+2)
= (-7) + (-2) = -7 - 2 = -9
Multiplying and Dividing Integers Rule:
Case 1: Signs are same
If the signs are the same, the answer is always positive.
(+) × (+) = +
Example: 5 × 4 = 20
(+) ÷ (+) = +
Example: 16 ÷ 4 = 4
(‐) × (‐) = +
Example: (-7) × (-9) = 63
(‐) ÷ (‐) = +
Example: (-20) ÷ (-2) = 10
Case 2: Signs are different
If the signs are different, the answer is always negative.
Answers & Comments
What are the different ways of adding, subtracting, multiplying, and dividing integers?
The following content shows the rules for adding, subtracting, multiplying, and dividing positive and negative numbers.
Adding Integers Rule:
Case 1: Signs are the same
If the signs are the same, add and keep the same sign.
(+) + (+) = Add the numbers and the answer is positive
Example : 2 + 5 = 7
(‐) + (‐) = Add the numbers and the answer is negative
Example : (-5) + (-4) = -9
Case 2: Signs are different
If the signs are different, subtract the numbers and use the sign of the larger number.
(+) + (‐) = Subtract the numbers and take the sign of the bigger number.
Example: 7 + (-3) = 4
(‐) + (+) = Subtract the numbers and take the sign of the bigger number.
Example: (-9) + 6 = -3
Subtracting Integers Rule:
To subtract a number from another number, the sign of the number (which is to be subtracted) should be changed and then this number with the changed sign should be added to the first number.
(+) - (+) = Change the sign of the number to be subtracted and add them up. The result takes the sign of the greater number.
Example: (+6) – (+2)
= (+6) + (-2) = 6 - 2 = 4
(-) - (-) = Change the sign of the number to be subtracted and add them up.The result takes the sign of the greater number.
Example: (-9) – (-6)
= (-9) + (+6) = -9 + 6 = -3
(+) - (-) = Change the sign of the number to be subtracted and add them up.
Example: (+5) – (-3)
= (+5) +(+3) = 5 + 3 = 8
(-) - (+) = Change the sign of the number to be subtracted and add them up. Result is always negative
Example: (-7) – (+2)
= (-7) + (-2) = -7 - 2 = -9
Multiplying and Dividing Integers Rule:
Case 1: Signs are same
If the signs are the same, the answer is always positive.
(+) × (+) = +
Example: 5 × 4 = 20
(+) ÷ (+) = +
Example: 16 ÷ 4 = 4
(‐) × (‐) = +
Example: (-7) × (-9) = 63
(‐) ÷ (‐) = +
Example: (-20) ÷ (-2) = 10
Case 2: Signs are different
If the signs are different, the answer is always negative.
(+) × (‐) = ‐
Example: 6 × (-10) = -60
(+) ÷ (‐) = ‐
Example: 30 ÷ (-15) = -2
(‐) × (+) = ‐
Example: -3 × 11 = 33
(‐) ÷ (+) = ‐
Example: -25 ÷ 5 = -5