Integers & Rational Numbers Worksheets

Represent real-world quantities such as temperature, elevation, and debt using positive and negative integers.

Identify and plot positive and negative integers on a horizontal number line.

Find the opposite of a given integer and recognize that opposites are equidistant from zero.

Graph positive and negative fractions and decimals on a number line, name a marked point, and compare two numbers by their left/right position (6.NS.C.7a).

Evaluate the absolute value of integers as distance from zero on the number line.

Compare two integers with inequality symbols and order sets of integers from least to greatest.

Compare and order rational numbers written as fractions, decimals, and percents — positive and negative.

Simplify and compare expressions involving absolute value bars and integer operations.

Add two integers including same-sign and opposite-sign pairs.

Subtract integers by adding the opposite, including negative minus negative cases.

Evaluate expressions chaining three or more integers with mixed addition and subtraction.

Add and subtract signed fractions and decimals, including negative rational numbers.

Divide integers that result in whole-number quotients, applying sign rules.

Multiply two integers and apply sign rules for products of positive and negative numbers.

Multiply and divide signed fractions and decimals, applying sign rules to rational numbers.

Evaluate multi-step expressions with integers using all four operations, exponents, and grouping symbols.

Tell rational numbers from irrational ones, and convert a repeating decimal into a fraction to show why repeating decimals are rational.

Trap an irrational number between whole numbers and then between tenths, locate it on a number line, and compare two roots without a calculator.