Question

50 POINTS*****

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding the length of the directed line segment?


The ratio given is part to whole, but fractions compare part to part.

The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

The ratio given is part to whole, but the associated fraction is .

Answer 1

Partitioning a directed line segment into a ratio of 1:3 is not the same as finding the length of the directed line segment. The ratio compares parts within the whole, while finding the length involves measuring the entire segment. To find the length of each part in a 1:3 ratio, divide the length of the segment by 4.

Step-by-step explanation:

Partitioning a directed line segment into a ratio of 1:3 is not the same as finding the length of the directed line segment because the ratio given is part to whole, while finding the length involves determining the actual measurement of the segment. The ratio 1:3 compares the parts within the whole, while finding the length of the segment involves measuring the entire length.

When the ratio is given as 1:3, it means that the segment is divided into 4 equal parts (1 part + 3 parts). The length of the entire segment is the sum of these 4 parts. To find the length of each part, you can divide the length of the segment by 4.

For example, if the length of the segment is 8 units, each part will have a length of 8/4 = 2 units.

Answer 2

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

We know that partitioning a directed line segment into a ratio of 1:3 means that we are dividing the given line segment into two parts whose first part is 1 times the of some quantity while the another part is 3 times of the same quantity. So basically we are comparing part to part in by ratio. And total number of parts in the whole will be just sum of both so we get 1+3=4

Hence choice (3) is correct answer.

"The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."