Component: 6.NS.7.c

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 6th Grade

Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.

Component: 6.NS.7.d

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 6th Grade

Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.

Component: 7.NS.1.a

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 7th Grade

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

Component: 7.NS.1.b

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 7th Grade

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

Component: 7.NS.1.c

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 7th Grade

Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.