Question

Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.

Answer 1

Step 1
Partition a number line from 0 to 1 into fourths
1 into fourths--------> 1/4
(0)----------------(1/4)----------------(2/4)---------------(3/4)---------------(4/4)
(0)---------------------------------------------------------------------------------(1)


Step 2 
Decompose 3/4 into 6 equal lengths

Note that in the previous graph the number 3/4 is divided into 3 equal parts. so to divide it into 6 equal parts we will divide the space of 1/4 between 2 to obtain spaces of 1/8

(0)----------------(1/4)----------------(2/4)---------------(3/4)----------------(4/4)
(0)-----(1/8)-----(2/8)-----(3/8)-----(4/8)-----(5/8)----(6/8)-----(7/8)----(8/8)

Answer 2

The partition of a number line from 0 to 1 into fourths can be expressed as:

0     ---------     ---------        ---------        ---------    1

0              1/4            2/4            3/4            4/4

What is a Number Line?

A number line is a representation of a scaled straight line that acts as an approximation for real numbers.

Each point on a number line is considered to be a real number. The partition of a number line from 0 to 1 into fourths can be expressed as:

0     ---------     ---------        ---------        ---------    1

0              1/4            2/4            3/4            4/4

However, to decompose 3/4 into 6 equal lengths, we have:

0     ---------     ---------        ---------        ---------    1

                 1/4             2/4             3/4              4/4

0 ---1/8--- 2/8 ---3/8--- 4/8 --5/8-- 6/8 ---7/8---  8/8

Learn more about Number Line here:

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