Fractions, Number Lines, And Order Worksheet With Answers printable pdf download

Fractions, Number Lines, And Order Worksheet With Answers

Session 20 – Fractions, Number Lines, and Order

What is wrong with the following sample advertisement statement?

and even more‼! This is a sale you cannot miss‼!

For one day only, save

, but the ending “and even more”

Each fraction value is less than the previous value,

implies that each fraction value is becoming greater in value. The statement is a common mistake

that many people make when using fractions. Here, the order of the fractions in the statement is

based on the value of the denominator and not on the true value of the fraction. The statement should

and even more‼! since the advertisement is implying that on

be, For one day only, save

some items a person can save more than half the listed price.

Ordering Fractions

We use a number line model to illustrate fraction order for values between 0 and 1. We divide

that length into two equal-sized pieces and label the point where the segment is divided with the

coordinate

. The distance from 0 to

represents a length of one-half the whole segment from 0 to

We further divide each of those halves in half; the points where each segment is divided are

represented by the fractions

and

. As with equivalent fractions from the previous session, we

may label the point at

, that is, this is another way to visualize equivalent fractions.

The next diagrams illustrate an extension of fraction order relationships to twelfths, sixths,

fourths, thirds, and halves, and how they relate to each other on the segment between 0 and 1.

MDEV 102

p. 84

Fractions, Number Lines, And Order Worksheet With Answers