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Mathematics | Grade : 7
Domain - The Number System
Cluster - Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
[7.NS.A.1.c] - 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.
- Absolute value
The absolute value of a real number is its (non-negative) distance from 0 on a number line. - Additive inverses
Two numbers whose sum is 0 are additive inverses of one another. Example: 3/4 and –3/4 are additive inverses of one another because 3/4 + (–3/4) = (–3/4) + 3/4 = 0. - Rational number
A number expressible in the form a∕b or – a∕b for some fraction a∕b. The rational numbers include the integers.
[6.NS.C.7.c] -
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.