make 0. addition and subtraction problems of rational numbers Represent and explain how a with a horizontal or vertical number and its opposite have a number line. sum of 0 and are additive inverses. Interpret sums of rational Demonstrate and explain how numbers by describing real-world adding two numbers, p+ q, if q is contexts. positive, the sum of p and q will be |q| spaces to the right of p on Explain and justify why the sum of the number line. p + q is located a distance from |q| in the positive or negative Demonstrate and explain how direction form p on a number line. adding two numbers, p+ q, if q is negative, the sum of p and q will Represent the distance between be |q| spaces to the left of p on two rational numbers on a the number line. number line is the absolute value Identify subtraction of rational of their difference and apply this numbers as adding the additive principle in real-world contexts. inverse property to subtract rational numbers, p-q = p + (-q). Apply properties of operations as strategies to add and subtract Identify properties of addition rational numbers. and subtraction when adding and subtracting rational numbers. Apply properties of operations as strategies to add and subtract rational numbers.
make 0. Represent and explain how a number and its opposite have a sum of 0 and are additive inverses. Demonstrate and explain how adding two numbers, p+ q, if q is positive, the sum of p and q will be |q| spaces to the right of p on the number line. Demonstrate and explain how adding two numbers, p+ q, if q is negative, the sum of p and q will be |q| spaces to the left of p on the number line. Identify subtraction of rational numbers as adding the additive inverse property to subtract rational numbers, p-q = p + (-q). Identify properties of addition and subtraction when adding and subtracting rational numbers. addition and subtraction problems of rational numbers with a horizontal or vertical number line. Interpret sums of rational numbers by describing real-world contexts. Explain and justify why the sum of p + q is located a distance from |q| in the positive or negative direction form p on a number line. Represent the distance between two rational numbers on a number line is the absolute value of their difference and apply this principle in real-world contexts. Apply properties of operations as strategies to add and subtract rational numbers. Apply properties of operations as strategies to add and subtract rational numbers.