Mathematics
Beginner
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Place Value of Decimals to Thousandths

Learn to identify and read decimals to three places: tenths, hundredths and thousandths. Explore why each column to the right is ten times smaller than the one before it, and understand how zeros hold a place.

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    1 - Getting Started ~4 mins

    Look at this number written on the board: 0.001.

    How many of these tiny amounts do you think we would need to make one whole? And how could we be sure we are right?

    2 - Watch and Notice ~9 mins

    Illustration for Watch and Notice

    0.4

    Watch as we build this number in the columns. There are four tenths and nothing else. Where does the 4 sit?

    0.27

    This time there are two tenths and seven hundredths. We have moved one column further to the right.

    0.305

    Look hard at the hundredths column on this one. What do you notice sitting there?

    2.408

    Now we have a whole number and a decimal together: two units, four tenths, no hundredths, and eight thousandths.

    3 - Try It Together ~11 mins

    Today we build decimals together on the place-value chart. The columns are units, tenths, hundredths and thousandths. When a number is called, we place each digit in its column and then read the whole decimal back aloud, checking each column as we go.

    Build the called decimal

    4 - Sketch the Columns in Your Copy ~2 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Columns in Your CopyIn your maths copy, sketch four columns and label them U, t, h, th. Then write each of these decimals into the columns, one under the other, and underline the thousandths digit on each one.

    • 0.4
    • 0.27
    • 0.305
    • 2.408

    5 - Class Challenge ~8 mins

    Today we read these decimals together: 0.006, then 0.05, then 0.408, then 1.207, then 3.09. The zeros catch people out, so we will say each one aloud and build it on the chart before we check it.

    Build the decimal

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Why is each column to the right ten times smaller than the one before it?

    And here is one to just talk about, with no right answer to find: what do you think would change about our chart if each column were a hundred times smaller instead of ten?

    7 - What's Next ~3 mins

    What we learned today

    • The three columns to the right of the point are tenths, hundredths and thousandths.
    • Each column to the right is ten times smaller than the one before it.
    • A zero in a decimal column holds the place so the other digits stay in their correct columns.

    Coming up

    Next we will use base-ten blocks to model thousandths, so you can see and hold how much smaller each column really gets.

    Pupil practice
    Module 1 · Place Value, Decimals and the Number System Number
    Lesson 2 · Place Value of Decimals to Thousandths
    Download Activity Book page (PDF)
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