## Standards with the same topic and subject but for other grades

Make comparisons between rational and irrational numbers.

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. Explore the real number system and its appropriate usage in real-world situations.

Understand that all real numbers have a decimal expansion.

Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers.

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers is a rational number. Recognize that if π and π are integers then β(π/π) = (βπ)/π = π/(βπ). Interpret quotients of rational numbers by describing real-world contexts.

Describe situations in which opposite quantities combine to make zero (the additive identity).

Understand that π + π represents the distance |π| from π whose placement is determined by the sign of π. Interpret sums of rational numbers by describing real-world contexts.

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

Understand subtraction of rational numbers as adding the additive inverse, π β π = π + (βπ). Apply this principal in real-world contexts.