THIS IS A DOUCUMENT THAT TELLS ABOUT THE BASIC MATHEMATICS OF INTEGERS - ADDING , SAME SIGNS INTEGERS, UNDERSTANDING TO APPLY OR PROCEED WITH FURTHER INTEGERS .
MATHEMATICS-7TH GRADE –INTEGERS
Adding Integers with Same Signs
Combining Positive and Negative Numbers
When adding integers with the same sign, we can simply combine the numbers by
adding their absolute values.
The resulting sum will have the same sign as the original numbers.
Integer Signs and Representations
Integers can be represented as either positive or negative numbers, with the positive
numbers typically written without a sign.
When adding integers with the same sign, it is important to maintain the sign of the
numbers throughout the calculation.
Basic Integer Addition Concepts
Adding a positive integer to another positive integer yields a larger positive
integer.
Adding a negative integer to another negative integer yields a smaller negative
integer.
When combining positive and negative numbers with the same sign, the larger
absolute value will determine the sign of the resulting sum.
Example
Find the sum of the following integers:
(-5) + (-3)
1. Combine the numbers: |-5| + |-3| = 5 + 3 = 8
2. Since both numbers are negative, the resulting sum is negative: -8
Adding Integers with Opposite Signs
Basic Concept
When adding integers with opposite signs, we follow these steps:
1. Find the difference between the two integers' absolute values.
2. Give the result the sign of the integer with the larger absolute value.
Example
, Consider 7 + (-2) :
1. Find the difference between the absolute values: |7| - |-2| = 5
2. Give the result the sign of the integer with the larger absolute value: +
So, 7 + (-2) = 5 with a positive sign.
NOTE:
Remember to follow these steps to add integers with opposite signs.
Practice more examples to gain confidence.
Understanding Integer Representations
Adding Integers with Same Signs
When adding integers that have the same sign, follow these steps:
1. Add the absolute values of the integers.
2. Keep the common sign for the sum.
Combining Positive and Negative Numbers
When combining positive and negative numbers, follow these steps:
1. Subtract the smaller absolute value from the larger absolute value.
2. Assign the sign of the original number with the larger absolute value to the difference.
Adding Integers with Opposite Signs
When adding integers with opposite signs, follow these steps:
1. Subtract the smaller integer from the larger integer, considering bot h their absolute
values.
2. The sign of the sum is the sign of the integer with the larger absolute value.
Integer Signs and Representations
Positive integers have a positive sign (+) or no sign (implicitly positive).
Negative integers have a negative sign (-).
Basic Integer Addition Concepts
Integers follow a specific set of rules for addition, including handling signs.
Understanding and applying these rules will help in integer addition and further
integer operations
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