**Maryland College and Career-Ready Education Standards**. A rational number is a number that can be made into a fraction. Decimals that repeat or terminate are rational because they can be changed into fractions. A square root of a number is a number that when multiplied by itself will result in the original number. The square root of 4 is 2 because 2 · 2 = 4. Read More...

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Study GuideRational numbers and operationsWorksheet/Answer key

Rational numbers and operationsWorksheet/Answer key

Rational numbers and operationsWorksheet/Answer key

Rational numbers and operations

MD.MA.8.NS. The Number System (NS)

Know that there are numbers that are not rational, and approximate them by rational numbers.

8.NS.1. 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.

8.NS.1.2. Knowledge of definition and description of rational and irrational.

MD.MA.8.EE. Expressions and Equations (EE)

Analyze and solve linear equations and pairs of simultaneous linear equations.

8.EE.7. Solve linear equations in one variable.

8.EE.7b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

8.EE.7b.1. See the skills and knowledge that are stated in the Standard.

MD.MA.AI. Algebra I

Unit 1: Relationships between Quantities and Reasoning with Equations

HSA-REI.B. Solve equations and inequalities in one variable.

A.REI.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A.REI.3.1. Ability to analyze the structure of an equation to determine the sequence of steps that need to be applied to arrive at a solution.

A.REI.3.2. Ability to accurately perform the steps needed to solve a linear equation/inequality.

Unit 4: Expressions and Equations

HSN-RN.B. Use properties of rational and irrational Numbers.

N.RN.3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

N.RN.3.1. Ability to perform operations on both rational and irrational numbers.

Standards