Adding Multiple Integers
Adding Multiple Integers is a Grade 7 math skill from Big Ideas Math, Course 2, covering Integers. To add multiple integers, use the Commutative and Associative Properties to reorder and group the numbers. A common strategy is to group all positive integers and all negative integers, find the sum of each group, and then add the two resulting sums. Explanation When faced with a long list of integers to add, you can simplify the problem by changing the order and grouping of the numbers.
Key Concepts
Property To add multiple integers, use the Commutative and Associative Properties to reorder and group the numbers. A common strategy is to group all positive integers and all negative integers, find the sum of each group, and then add the two resulting sums. Commutative Property: $a + b = b + a$ Associative Property: $(a + b) + c = a + (b + c)$.
Examples Find the sum $5 + ( 8) + 3 + ( 2)$: $$5 + ( 8) + 3 + ( 2) = (5 + 3) + (( 8) + ( 2)) = 8 + ( 10) = 2$$ Find the sum $ 7 + 4 + ( 1) + 11 + ( 5)$: $$ 7 + 4 + ( 1) + 11 + ( 5) = (4 + 11) + (( 7) + ( 1) + ( 5)) = 15 + ( 13) = 2$$.
Explanation When faced with a long list of integers to add, you can simplify the problem by changing the order and grouping of the numbers. This is allowed because of the Commutative and Associative Properties of Addition. A helpful strategy is to first add all the positive integers together, then add all the negative integers together. Finally, add the two resulting sums to find the total.
Common Questions
What is adding multiple integers?
To add multiple integers, use the Commutative and Associative Properties to reorder and group the numbers.. A common strategy is to group all positive integers and all negative integers, find the sum of each group, and then add the two resulting sums.. Commutative : Associative :
How do you use adding multiple integers in Grade 7?
Explanation When faced with a long list of integers to add, you can simplify the problem by changing the order and grouping of the numbers.. This is allowed because of the Commutative and Associative Properties of Addition.. A helpful strategy is to first add all the positive integers together, then add all the negative integers together.
What is an example of adding multiple integers?
Examples Find the sum : Find the sum :
Why do Grade 7 students learn adding multiple integers?
Mastering adding multiple integers helps students build mathematical reasoning. This is allowed because of the Commutative and Associative Properties of Addition.. A helpful strategy is to first add all the positive integers together, then add all the negative integers together.
What are common mistakes when working with adding multiple integers?
A common mistake is overlooking key conditions. Commutative : Associative :
Where is adding multiple integers taught in Big Ideas Math, Course 2?
Big Ideas Math, Course 2 introduces adding multiple integers in Integers. This skill appears in Grade 7 and connects to related topics in the same chapter.