Year 4 maths · Ages 9–10 · Free

Every number has a place.
Climb to the summit.

Start at basecamp with big numbers, walk through the decimal point into tenths and hundredths, slide digits up and down the mountain, and spot odd or even from a single glance.

Five free games plus short lessons for Year 4 place value, decimals, × and ÷ by 10, 100 and 1000, odd and even numbers, and clever strategies. No downloads, no accounts, no ads.

A cheerful kid explorer climbing a snowy mountain built from stacked wooden counting blocks, with tents at basecamp below

Pick your trail, explorer

Each game trains one Year 4 number skill, and every answer shows the working, whether you were right or took a wrong turn.

Glowing tiles sliding along a mountain track, pushed by a kid explorer

Digit Slide

23 × 100? Slide the digits two places left on the place-value chart and watch the zeros fill in. Twelve cases of × and ÷ by 10, 100, 1000 and multiples of 10, like 6 × 30.

12 cases× ÷ 10, 100, 1000AC9M4N05
A hundredths grid with three full columns and seven more squares shaded, showing 0.37

Hundredths Grid

Shade 0.45, then 6 tenths, then the sneaky 0.05. Every column is a tenth and every square a hundredth, so decimals become something you can see and touch.

10 casesTenths & hundredthsAC9M4N01
Seven red cubes in three pairs with one left over, and eight blue cubes in four pairs

Odd or Even?

Is 75 931 odd? One glance at the last digit decides. Then predict whether 357 + 219 or 13 × 7 will be odd or even, without working it out.

12 casesLast-digit clueAC9M4N02
A kid explorer with a map at a fork, choosing a short bridge over a long winding trail

Strategy Trail

First pick the smartest plan (bridge to 200, double and double again, use a fact you own), then solve. The last case is a calculator job: estimate first, then check.

10 casesMental strategiesAC9M4N06
A kid explorer celebrating on a mountain summit with a flag and a ticked checklist

Summit Quiz

Ten questions from warm-up to challenge that mix everything: digit values, halfway decimals, × 100 machines, even-number lists and the most efficient strategy.

10 questionsWarm-up → ChallengeMixed review
Base-ten blocks: one thousand cube, two hundred flats, three ten rods and four ones

Learn at basecamp

Five short lessons with worked examples, a Word Power list, two hands-on activities and a place-value reader: type any number and see every digit in its house.

5 lessonsInteractive chartFor grown-ups too

Read it. Slide it. Pair it. Plan it.

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Places, not just digits

A 7 can mean seven ones, seven tens or seven tenths. Every game asks "which house does this digit live in?", the question that makes decimals and big numbers make sense.

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Slides instead of tricks

"Add a zero" breaks on 4.5 × 10. Sliding digits one place per × 10 always works, for whole numbers now and for decimals later.

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Plan before you calculate

Choosing a strategy first (bridge, double, use a known fact, or reach for a calculator) builds the flexible thinking that speeds up every later year.

Free Year 4 place value, decimals and number practice

What does Year 4 place value cover?

In Year 4, place value stretches in two directions. Whole numbers grow to tens of thousands, and the decimal point opens two new places to the right: tenths and hundredths. Children learn that each place is worth ten times the place to its right, which is why multiplying by 10 slides every digit one place left, and why 0.9 is bigger than 0.15 even though it looks shorter.

Why "add a zero" is a trap

"To times by 10, add a zero" works for 23 but gives the wrong answer for 4.5 (the answer is 45, not 4.50). Digit Slide shows what really happens: the digits keep their order and move to bigger houses, and zeros only hold the empty places. Multiples of 10 are handled in two steps, a fact the child already knows and then a slide: 6 × 30 = 6 × 3 × 10 = 180.

Odd, even and clever strategies

The last digit decides whether any whole number is odd or even, however big it is, because every ten shares into pairs. That same idea predicts sums (odd + odd = even) and products (anything × even = even). Strategy Trail then practises choosing an efficient plan, such as bridging 199 + 56 through 200, doubling twice for × 4, or estimating first and using a calculator for a long list of four-digit amounts.

Curriculum

Place Value Peaks supports the Australian Curriculum: Mathematics Version 9.0, Year 4: AC9M4N01 (tenths and hundredths), AC9M4N05 (multiplying and dividing by multiples and powers of 10), AC9M4N02 (odd and even numbers) and AC9M4N06 (efficient strategies and digital tools). The exact wording of each content description is on the References page.

Content description codes are from the Australian Curriculum: Mathematics Version 9.0, © Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, licensed under CC BY 4.0. ACARA does not endorse, sponsor, or affiliate with Place Value Peaks or Maths Explorers Club.

Safe and simple

Everything runs in the browser on a computer, tablet or phone. No downloads, no accounts, no ads. Best streaks are saved on the device only.

Questions grown-ups ask

What does Place Value Peaks teach?

Year 4 number skills: tenths and hundredths, multiplying and dividing whole numbers by 10, 100, 1000 and multiples of 10, odd and even numbers, and efficient mental strategies for the four operations, including when a calculator is the right tool.

Which year level is it for?

It is written for Year 4 (about ages 9 to 10) and follows the Australian Curriculum: Mathematics Version 9.0. Year 3 children can try the Odd or Even and Digit Slide games, and Year 5 children can use it for revision.

Is it free? Do we need an account?

Yes, it is free. There are no ads, no accounts and no downloads. Best streaks are saved in your browser on this device only.

Does it work on a phone or tablet?

Yes. Every game runs in the browser on a phone, tablet or computer, using taps or clicks.

Which curriculum codes does it cover?

AC9M4N01 (tenths and hundredths), AC9M4N05 (multiplying and dividing by multiples and powers of 10), AC9M4N02 (odd and even numbers) and AC9M4N06 (efficient strategies and digital tools).

Keep exploring on michaelleung.info

Place Value Peaks is one of several free learning games by Michael Leung. All run in the browser, with no ads and no sign-up.

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