A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers, and the denominator is not zero. Rational numbers can be positive or negative, and can also be whole numbers or integers.

- 2 (can be expressed as 2/1)
- -5 (can be expressed as -5/1)
- 3/4
- -7/2

When adding or subtracting rational numbers, you need to find a common denominator. Once you have a common denominator, you can add or subtract the numerators and keep the denominator the same.

Let's add 1/3 and 2/5.

First, find a common denominator, which in this case is 15.

1/3 = 5/15 and 2/5 = 6/15

Now, you can add the fractions: 5/15 + 6/15 = 11/15

When multiplying or dividing rational numbers, you simply multiply or divide the numerators and the denominators.

Let's multiply 2/3 and 3/4.

2/3 * 3/4 = (2*3)/(3*4) = 6/12 = 1/2

- Understand what rational numbers are and be able to identify examples of rational numbers.
- Practice finding common denominators when adding or subtracting rational numbers.
- Practice multiplying and dividing rational numbers.
- Simplify fractions and understand how to convert between mixed numbers and improper fractions.
- Work on word problems involving rational numbers to understand real-life applications.

By mastering these concepts and practicing different types of problems, you will become proficient in working with rational numbers and operations.

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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.