Mathematics
Beginner
50 mins
Teacher/Student led
+80 XP
What you need:
Chromebook/Laptop/PC or iPad/Tablet
IWB/Projector/Large Screen

Decimals on a Number Line

Place decimals at the right point on a 0 to 1 number line, understanding tenths, hundredths and thousandths precision. Discover that every decimal sits at exactly one spot between whole numbers.

Teacher Class Feed

Load previous activity

    1 - Getting Started

    If we drew a long line on the board from 0 to 1 with no tick marks on it at all, where would 0.5 go? Right in the middle? Closer to one end? Talk it out for a moment.

    And what about 0.7? 0.34? 0.085? Every decimal lives at one specific point between two whole numbers, and today we will find each one.

    2 - Watch and Notice

    Watch five pre-placed number lines on the board. As each one comes up, look at where the decimal lands between the ticks. We will read each one together and talk through what we see.

    The first three put 0.7, 0.34 and 0.085 all on the same 0 to 1 line. Notice how each one needs a more precise position than the one before. The fourth shifts to a 1 to 2 line for 1.6 and 1.85, reminding us that decimals also live between bigger whole numbers. The fifth is the surprise: 0.5, 0.50 and 0.500 all mark the same spot.

    3 - Try It Together

    Today we work together on a 0 to 1 number line with tick marks every 0.1 and finer marks every 0.01. I call a decimal; one of us comes up to slide the marker on the board; the rest of us check by counting tick marks together.

    Place the called decimal

    4 - Sketch the Line in Your Copy

    COPYBOOK MOMENT

    Illustration for Sketch the line in your copyIn your maths copy, use your ruler to sketch a long horizontal number line. Label 0 at one end and 1 at the other. Add eleven evenly spaced tick marks across the line, every 0.1 apart.

    Now mark each of these three decimals on your line and label each mark with its value:

    • 0.7
    • 0.34
    • 0.085

    Take your time on 0.085. Work out which two tenths it sits between first, then place it carefully between the smaller ticks.

    5 - Class Challenge

    Today's bank climbs from a clean tenth (0.7) through a hundredth (0.34) to a thousandth (0.085), then finishes with a search: find any decimal between 0.4 and 0.45. More than one right answer to that last one. The activity shows ✓ or 'not yet' after Check, and the same four problems rerun at home as tonight's homework.

    Place each decimal in turn

    Pupil practice
    Module 1 · Number: Place Value, Negative Numbers and Order of Operations Number
    Lesson 4 · Decimals on a Number Line
    Download Activity Book page (PDF)
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more