---
title: "Order integers, decimals and fractions on a number line"
description: "Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers and mixed representations"
canonical: https://lightmysky.com/learn/mathematics/order-integers-decimals-and-fractions-on-a-number-line-mt_uDJY0X0hgo
source: https://lightmysky.com/learn/mathematics/order-integers-decimals-and-fractions-on-a-number-line-mt_uDJY0X0hgo.md
retrieved: 2026-09-12
---

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# Order integers, decimals and fractions on a number line

Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers and mixed representations

Subject: Mathematics · Area: Number Representation & Place Value · Ages 11 to 12
Page: https://lightmysky.com/learn/mathematics/order-integers-decimals-and-fractions-on-a-number-line-mt_uDJY0X0hgo

## Ready when they can

- Order a mixed set of positive and negative integers, decimals, and fractions
- Use the symbols =, ≠, <, >, ≤, ≥ correctly in mathematical statements
- Compare numbers presented in different forms such as 0.75 and 3/4

## Lesson: One Line, Every Kind of Number

A number line stretches both ways from zero. Negative numbers sit to the left of zero, positive numbers sit to the right. Decimals and fractions live on that same line too, tucked in between the whole numbers.

You already know =, <, and >. Three more symbols say almost the same thing: ≠ means not equal, ≤ means less than or equal to, and ≥ means greater than or equal to. On the number line, a number is always less than any number sitting to its right.

*(drawing: -3 sits left of 0, so -3 < 0. The number 2 sits right of 0, so 2 > 0.)*

**Example.** Maria sees two hints for the same amount: 0.75 and 3/4. She shades 3 of 4 equal parts of a bar. Both hints land on the exact same spot on the number line, so 0.75 = 3/4.

**Tip.** When two numbers look different, turn them into the same form first. Change a fraction to a decimal, or a decimal to a fraction, then check which spot sits further right.

**Recap.** Every number, negative or positive, decimal or fraction, has one true spot on the number line, and =, ≠, <, >, ≤, ≥ tell you exactly how two spots compare.

## Practice

17 questions on this page, each with its working shown.

## Needs first

- [Positive and Negative Numbers](https://lightmysky.com/learn/mathematics/positive-and-negative-numbers-mt_9QzSnn8m80)
- [Place value for decimals, measures and integers](https://lightmysky.com/learn/mathematics/place-value-for-decimals-measures-and-integers-mt_PsylzZ9lHW)

## Opens up

- [Coordinates (age 11+)](https://lightmysky.com/learn/mathematics/coordinates-age-11-mt_hVpGOEz2kG)
- [Inequalities and their solution sets](https://lightmysky.com/learn/mathematics/inequalities-and-their-solution-sets-mt_i2F1nWxJjv)