## Understand A Rational Number As A Point

#### Aligned To Common Core Standard:

**Grade 6 Numbers** - 6.NS.C.6a

How to Display a Rational Number as a Point on Number line- There are a lot of different types of numbers in mathematics, such as whole numbers, integers, prime numbers, natural numbers, rational, and irrational numbers. Rational numbers are those numbers that can be written in the form of fractions and both numerators and denominators are integers. These numbers can be easily displayed on the number line. There are two types of rational numbers; proper fractions and improper fractions. When plotting the rational numbers on a number line, you need to check whether a fraction is proper or improper. For proper fractions, you need to know that these will always lie between the numbers zero and one. The denominator tells you the number of divisions you need to mark between zero and one. The denominator tells the divisions with reference to zero. When you have to plot an improper fraction on the number line, you have to convert the improper fraction into a mixed number in the form of Quotient (Remainder/Dividend). When plotting, you need to remember that these fractions will always lie between Quotient and Quotient +1. The fraction part of the mixed number can then be marked just like a proper fraction, but it will not lie between 0 and 1. Students are drawn in by these negative value and complete change in value worksheets and lessons.

### Printable Worksheets And Lessons

- Opposite of 5 Step-by-step
Lesson- We use a numbers line to explain the negative value
of 5.

- Guided Lesson - Explore how parentheses affect negative values and find more opposites.

- Guided Lesson Explanation - When you doubt, rely on the numbers line to think your way out of it.

- Practice Worksheet - I like the way this one came out. If you forget the concepts you can move to the next problem and be reminded yourself.

- Matching Worksheet - What number are they talking about? You decide.

#### Homework Sheets

I think you will find the progression of each sheet to work well for you here.

- Homework 1 - On a number line, opposite integers are the same distance from 0, but in opposite directions.
- Homework 2 - Complete the number line below. Find the missing number.
- Homework 3 - What is the end value of: –(-2)?

#### Practice Worksheets

Each sheet seems to follow a common theme I have going on here.

- Practice 1 - When we open the bracket we get (- , -). Two negative cancel one another out and leave us positive.
- Practice 2 - What is the end value of: –(+25)?
- Practice 3 - If the missing number is smaller than 0, then subtract 1 from the next number. If the missing number is greater than 0, then add 1 to the previous number to the missing number.