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## Definition:

We often encounter rational numbers in real life situations. For example, when buying fruits and vegetables in the market, counting the number of eggs harvested from the farm, the salary of the farmers and so on. Rational numbers are involved in these kind of situations.

Identifying rational numbers can be easily done as long as we keep in mind that any number that can be transformed into a fraction such as ⅓, ½, ¼ and so on is considered as rational number.

## Summary:

**RATIONAL NUMBERS**

A rational number is a number that can be expressed as a fraction. It can also be represented by decimal numbers that are either terminating or repeating.

**Characteristics of Rational Numbers:**

- Rational numbers are infinite.
- Between two rational numbers there are infinite rational numbers.
- Rational numbers contain whole and natural numbers.
- It can be expressed in fraction or in decimal form.

**Rational vs. Irrational**

- Rational number is a number that can be expressed as a ratio of two integers while irrational number is a number that cannot be expressed that way.
- A number that has repeating and terminating decimal is a rational number while a number that has non-repeating and non-terminating decimal is an irrational number.

**SOLVING WORD PROBLEMS**

In solving word problems involving rational numbers, we should always apply PEMDAS rule:

** Parentheses** ; Any parts of the equation that are written inside a set of parentheses should be done first from the inside out.

**; Next step in solving is to evaluate the exponents.**

*Exponent***; The third step is to multiply and divide the terms in order as you read them from left to right.**

*Multiplication, Division***; The last step is the addition and subtraction of terms in order as you read them from left to right.**

*Addition, Subtraction*## Example:

Mr. Howard bought 89-acre farmland at 20% discount. The original cost of the farmland is $469, 920. How much is the cost per acre at a discounted price?

Discount: $469, 920 x 0.20 = $93, 984

Discounted price of 89-acre land: $469, 920 – $93, 984 = $375, 936

Discounted price per acre: $375, 936/89 =** $4, 224/acre**

## Solving Word Problems Involving Rational Numbers Worksheets

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