Graphing any type of number on a number line

1.1.2. Graphing numbers on a number line

Number Line:

Graphing whole numbers on a number line.

Whole numbers: whole numbers are numbers with out decimals, such as 1,2,3,4.

When graphing whole numbers, put dots on the number line.

Ex:

Graph -3,-1, 2, 0, 3, 6 on a number line from the smallest to largest.

1. First, make a number line. Then put dots on the number that the problem says.

This is the basic plotting number on a number line.

Graphing rational numbers on a number line.

Rational numbers: Rational numbers are fraction numbers, such as 3/4, 19/4, -2/4 and -6/2. When the rational numbers are changed to decimals, they repeat numbers infinitely or conclude at such number.

Example:

Graph 3/4, 5/2, 18/2, -40/10, 10/2, and 22/7 on a number line.

First, change all the fractions to decimals.

3/4= 0.75 , 18/2= 9 , -40/10= -4 , 9/3= 3 , 22/7= 3.142857…….

When graphing on the number line, choose the best place to put these numbers. For example, since 0.75 is half way from 0.5 and 1, put it closer to 1.

Graphing irrational numbers on a number line

Irrational numbers: irrational numbers are the real numbers that are not rational, which also means cannot be in fraction. These numbers are numbers in square roots and pi.

Example:

Graph $eq=\sqrt{4}$ , $eq=\sqrt{16}$ , $eq=\sqrt{30}$ , $eq=\sqrt{49}$ , and $eq=\sqrt{1}$ .

First, solve the square roots. Since it takes long to solve by hand, do estimations. For example, square root of 30 is close to 5, which is square root of 25, and the next closest is 6, the square root of 36. Since 30 is almost in the middle of square root 25 and 36, put the number between 5 and 6.

Now……

Practice Problems!!!!!!!!!!

1) Graph -1, 2, 16/2, square root 25, and 49/9 on a number line.

2) Graph square root 99, 12, 7/3, 24/5, and pi on a number line.

3) Can any number be plotted on a number line? Why or why not? Explain.

4) Graph square root – 2, square root 4, - square root 16, and 4/3.