Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

7.NS.1. Add and subtract rational numbers. 

a. Describe situations in which opposite quantities combine to make 0.

b. 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.

c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). 

d. Apply properties of operations as strategies to add and subtract rational numbers.

7.NS.2. Multiply and divide rational numbers.

a. Products of rational numbers.

b. Quotients of rational numbers by describing real-world contexts. 

c. Apply properties of operations as strategies to multiply and divide rational numbers. 

7.NS.2. Multiply and divide rational numbers.

d. Convert a rational number to a decimal.

7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.