Rational numbers are numbers that can be expressed as the quotient or fraction p/q of two integers, where q is not equal to 0. In other words, a rational number is any number that can be written in the form p/q, where p and q are integers and q is not zero.

- 2/3
- -5/7
- 1 (can be expressed as 1/1)
- -3 (can be expressed as -3/1)

**Closure Property:**The sum, difference, or product of any two rational numbers is also a rational number.**Commutative Property:**For addition and multiplication, the order of the rational numbers does not matter.**Associative Property:**For addition and multiplication, the grouping of rational numbers does not matter.**Identity Property:**The sum of any rational number and 0 is the rational number itself.**Inverse Property:**Every rational number has an additive inverse (its negative) and a multiplicative inverse (reciprocal).

Rational numbers can be operated on using the following operations:

**Addition:**To add two rational numbers, find a common denominator, add the numerators, and simplify if necessary.**Subtraction:**To subtract two rational numbers, find a common denominator, subtract the numerators, and simplify if necessary.**Multiplication:**To multiply two rational numbers, multiply the numerators and denominators separately, and simplify if necessary.**Division:**To divide two rational numbers, multiply the first number by the reciprocal of the second number.

When studying rational numbers, make sure to understand the concept of fractions and how to perform operations with fractions. Practice finding common denominators and simplifying fractions. Familiarize yourself with the properties of rational numbers and how they apply to different operations. Additionally, work on word problems involving rational numbers to apply your knowledge in real-life situations.

Remember to always check your work and simplify your answers whenever possible.

Feel free to ask if you have any more questions or need further clarification on rational numbers!

.Study GuideRational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.