Adding With Different Signs
Adding With Different Signs is a Grade 6-7 math skill focused on adding positive and negative integers. Students learn the rules: when signs are the same, add the absolute values; when signs are different, subtract the smaller absolute value from the larger and keep the sign of the number with greater absolute value.
Key Concepts
Property To find the sum of addends with different signs: 1. Subtract the absolute values of the addends. 2. Take the sign of the addend with the greater absolute value.
Examples $( 18) + (+8) = 10$ $(22) + ( 5) = 17$.
Explanation This is an epic tug of war! Find the difference between the numbers' strengths. The stronger number, the one with the bigger absolute value, wins the battle and plants its sign on the final answer! May the biggest number win!
Common Questions
How do you add integers with different signs?
Find the absolute values of both numbers, subtract the smaller from the larger, and give the result the sign of the number with the larger absolute value.
What is the rule for adding a positive and a negative number?
Subtract the smaller absolute value from the larger absolute value. The result has the same sign as the number with the larger absolute value.
What is an example of adding with different signs?
Adding -8 + 3: the absolute values are 8 and 3; 8 minus 3 equals 5; since 8 is larger and negative, the answer is -5.
How do you add numbers with the same signs?
Add the absolute values and keep the common sign. For example, -4 + -6 = -10.
What grade covers adding integers with different signs?
Adding integers with different signs is typically taught in Grade 6 and Grade 7 math.