Defining the Set of Integers
Defining the set of integers is a foundational Grade 6 math concept in Big Ideas Math Advanced 1, Chapter 6: Integers and the Coordinate Plane. The set of integers includes all whole numbers and their negatives: {..., -3, -2, -1, 0, 1, 2, 3, ...}. Integers do not include fractions or decimals.
Key Concepts
Integers are the set of whole numbers and their opposites: $\{..., 3, 2, 1, 0, 1, 2, 3, ...\}$.
Zero is neither positive nor negative.
Common Questions
What is the set of integers in Grade 6 math?
The set of integers is the collection of all whole numbers, their negatives, and zero: {..., -3, -2, -1, 0, 1, 2, 3, ...}. Integers do not include fractions, decimals, or irrational numbers.
Is zero an integer?
Yes, zero is an integer. It is neither positive nor negative, but it belongs to the set of integers. Zero is also a whole number.
What is the difference between integers and whole numbers?
Whole numbers are non-negative integers: {0, 1, 2, 3, ...}. Integers include all whole numbers AND their negatives: {..., -2, -1, 0, 1, 2, ...}. Every whole number is an integer, but not every integer is a whole number.
Where is the definition of integers taught in Big Ideas Math Advanced 1?
Defining the set of integers is covered in Chapter 6: Integers and the Coordinate Plane of Big Ideas Math Advanced 1, the Grade 6 math textbook.