Finer grained standards that are part of this one
Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.
Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.
Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Explain subtraction of rational numbers as addition of additive inverses.
Use a number line to demonstrate 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.
Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.
Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.