Mathematics
Beginner
40 mins
Teacher/Student led
+80 XP
Teacher-led from the board — pupils need no device
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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    Place value blocks
    Place value blocks

    1 - Getting Started ~4 mins

    Look at the three groups of blocks in the picture 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

    Each interactive shows a decimal made from blocks in the units, tenths and hundredths columns. Notice which columns have blocks and which are empty, and read the number.

    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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