Rational Numbers on the Number Line

You would place $\frac{1}{3}$ between 0 and 1, closer to 0 because it’s less than half of a unit.

Since 2.5 is halfway between 2 and 3, it would be placed right in the middle of these two whole numbers.

The number $\frac{5}{4}$ , or 1.25, is a little past 1 since $\frac{4}{4}$ equals 1. So $\frac{5}{4}$ will be between 1 and 2, closer to 1.

First, divide the space between 0 and 1 into 8 equal parts. Then, count three parts from 0. Place a dot on the third division to represent $\frac{3}{8}$.

First, find the whole number $1$ on the number line as a midpoint between $0$ and $2$. Then, divide the segment from $0$ to $1$ into four equal parts. Place a dot at the third mark to represent $\frac{3}{4}$.

Identify the segment between $0$ and $10$. Divide this segment into four equal parts to locate each $2.5$ units. The first $2.5$ falls exactly in the middle of $0$ and $5$. Place a dot there to represent $2.5$.

Start by locating $0$ as the central point between $-1$ and $1$. Divide the segment between $-1$ and $0$ into two equal parts. The position exactly halfway is $-\frac{1}{2}$. Mark this spot on the line.

Begin by identifying whole numbers $4$ and $5$ on the line. To find $4.25$, split the segment from $4$ to $5$ into four equal parts since each part represents $0.25$. Place a dot at the first mark past $4$ to denote $4.25$.

A rational number on a number line is a point that corresponds to a value that can be expressed as a fraction or decimal, including whole numbers.

First, determine the space between two whole numbers that the fraction falls between. Then divide that space into equal parts according to the denominator and count the parts according to the numerator to place the fraction.

Yes, negative rational numbers are placed to the left of zero on a number line.

By placing both numbers on the number line, you can easily compare them. The number further to the right is the larger number.

Equivalent rational numbers will be located at the same point on a number line even if they have different numerators and denominators.

If two rational numbers are at the same position on a number line, they are equivalent and represent the same value.

Yes, decimals can be placed on a number line just like fractions, as they are also rational numbers.

A number line can visualise adding by moving to the right for positive jumps and subtracting by moving to the left for negative jumps.

Not all points on a number line are rational numbers; some points represent irrational numbers, which cannot be expressed as fractions.

Real-world scenarios like measuring distances, comparing weights, cooking with fractions of ingredients, and budgeting can all be represented using a number line.