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

Place Value to 999: Hundreds, Tens and Units

Build and read three-digit numbers using place-value columns. Explore how each column is ten times the one on its right, and discover why zero is needed as a placeholder to keep digits in their correct places.

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    1 - Getting Started ~4 mins

    Look at this number on the board: 305.

    Each number-symbol, like the 3, the 0 or the 5, is called a digit.

    Hands up: which digit do you think is worth the most in this number, and which one is worth the least? And that little zero sitting in the middle, what is it there for, could we just leave it out?

    2 - Watch and Notice ~11 mins

    Illustration for Watch and Notice

    247

    Watch as we build this number with place-value blocks: two hundred-flats, four ten-rods and seven single units. Every column has something in it.

    Ten of one make one of the next

    Now look closely at what happens when a column fills right up. Here are ten ten-rods all together. Ten ten-rods are worth exactly the same as one hundred-flat, so we can trade them in for a single hundred-flat. In the same way, ten single units can be traded for one ten-rod. How many ten-rods make one hundred-flat? That is the ten-times rule: each column is worth ten times the one on its right.

    408

    Now look at this one. What do you notice sitting in the tens column? The zero keeps that column empty. If we forgot the zero and just wrote 48, the 4 would slide into the tens and the 8 into the units, and we would have a completely different, smaller number. The zero holds the place open.

    530

    This time the empty column has moved. Which column is empty now?

    999

    Here is the biggest number we can build before we run out of room. Every column is filled right up to nine. What do you think happens if we add just one more?

    3 - Try It Together ~9 mins

    Today we build numbers together on the place-value mat with H, T and U columns. You will hear a number called out, then one of us will come up and build it: the right number of hundred-flats, ten-rods and units. The rest of us will check that every column matches.

    Build the number on the mat

    4 - Sketch the Columns in Your Copy ~2 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Columns in Your CopyIn your maths copy, sketch three place-value columns and label them H, T and U.

    Then write each of these numbers into the columns, one under the other, putting each digit in its matching column:

    • 247
    • 408
    • 530
    • 999

    After you write each one, read it out quietly to yourself.

    5 - Class Challenge ~8 mins

    Now we work through these numbers together at the board: 162, then 308, then 740, then 909. The zeros catch people out, so for each one we will all say it aloud and name the empty column together, then watch as the pupil at the board builds it and checks it.

    Build the called number

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    We have built every number all the way up to 999. What do you think has to happen when we run out of room past nine hundred and ninety-nine?

    7 - What's Next ~3 mins

    What we learned today

    • Where a digit sits decides what it is worth: hundreds, tens or units.
    • Each column is ten times the one on its right: ten units make one ten, and ten tens make one hundred.
    • A zero holds a column empty so the other digits stay in their right places.

    Coming up

    Next time we follow the same ten-times rule one step further and add a brand-new column on the left, so we can build numbers far bigger than 999.

    Pupil practice
    Module 1 · Place Value: Whole Numbers to 9,999 and Rounding Number
    Lesson 1 · Place Value to 999: Hundreds, Tens and Units
    Download Activity Book page (PDF)
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