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

Reading Decimals to Tenths and Hundredths

Relabel place-value blocks to represent decimals: a flat becomes 1, a rod becomes 0.1, and a small cube becomes 0.01. Read and write decimals to hundredths, including numbers with placeholder zeros.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at the three groups of blocks on the board, labelled A, B and C. Up to now, a flat meant one hundred, a rod meant ten and a small cube meant one. Today we are going to relabel them: the flat is now 1, the rod is now 0.1 and the small cube is now 0.01. Read each group as a decimal. What number is group A showing? What about B and C?

    2 - Watch and Notice ~9 mins

    0.3

    Watch as we build this number with the relabelled blocks. Three rods sit in the tenths column. There are no hundredths, so we read it three tenths: 0.3.

    0.27

    Now two rods sit in the tenths column and seven small cubes sit in the hundredths column. We read this two tenths and seven hundredths: 0.27.

    1.05

    Here we have one flat for the whole, no rods in the tenths column, and five small cubes in the hundredths column. The zero is holding the tenths place. We read this one and five hundredths: 1.05.

    2.30

    Two flats give us two wholes, three rods give us three tenths, and there are no hundredths. The zero on the end sits in the hundredths column to show there are no hundredths, so 2.30 means exactly the same amount as 2.3. We read it two and three tenths: 2.30.

    3 - Try It Together ~10 mins

    Let's try a few together. When I call out a decimal, build it on the place-value mat with the U, t and h columns. The numbers we will work through are 0.6, 0.43, 0.08 and 1.04. We will read each one aloud as a class and check the columns before we move on.

    Build the called decimal

    4 - Write the Decimals in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Write the Decimals in Your CopyIn your maths copy, sketch the three place-value columns and label them U, t and h. Then write each of these decimals into the columns, one under the other. After you write each one, read it aloud quietly to yourself.

    • 0.3
    • 0.27
    • 1.05
    • 2.30

    5 - Class Challenge ~8 mins

    Today we work through these numbers together: 0.06, 0.4, 0.43, 1.07 and 2.5. The zeros catch people out, so we will say each one aloud and check the columns before we press Check.

    Read these decimals

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Earlier we read 2.30 as two and three tenths, the same amount as 2.3. Talk it through: why is 0.4 the same as 0.40? What is sitting in the hundredths column of 0.40, and does it change how much we have?

    7 - What's Next ~3 mins

    What we learned today

    • We relabelled the blocks: a flat is 1, a rod is 0.1, a small cube is 0.01.
    • The first column after the decimal point is tenths, the second is hundredths.
    • A zero in a decimal holds a place — in 1.05 the zero keeps the 5 in the hundredths column.

    Coming up

    Next we will put decimals onto a number line, so we can see exactly where a number like 0.7 or 0.34 sits between two whole numbers.

    Pupil practice
    Module 1 · Place Value and the Decimal Number System Number
    Lesson 3 · Reading Decimals to Tenths and Hundredths
    Download Activity Book page (PDF)
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