Class notes
INTEGERS BASICS
- Course
- Institution
THIS IS A DOUCUMENT THAT TELLS ABOUT THE BASIC MATHEMATICS OF INTEGERS - ADDING , SAME SIGNS INTEGERS, UNDERSTANDING TO APPLY OR PROCEED WITH FURTHER INTEGERS .
[Show more]
Seller
Follow
varsham
Content preview
MATHEMATICS-7TH GRADE –INTEGERSAdding 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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller varsham. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
82388 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now