Place Value Year 6 — Understanding Big Numbers for KS2 SATs

Why Place Value Matters So Much

Every digit in a number has a value based on where it sits. The 3 in 3,450,000 means three million. Move it one column to the right and it means three hundred thousand. That’s a huge difference.

When children misread a number or line up columns wrongly in addition, it’s almost always a place value problem. Get this right and the knock-on effect across maths is massive.

Reading and Writing Large Numbers

By Year 6, children need to handle numbers up to 10,000,000 (ten million). That’s seven digits. The trick is using commas to break the number into groups of three, reading from left to right:

Practise reading big numbers aloud. It sounds simple, but lots of children stumble when they see seven digits in a row. Breaking it into chunks makes all the difference.

Ordering and Comparing

When comparing numbers, always start from the biggest place value column and work right. Look at the millions first, then hundreds of thousands, and so on until you find a difference. Try these two:

The tricky bit? Numbers that look almost identical. SATs love giving numbers that differ by just one digit in the middle — children need to check carefully, not just glance.

Rounding

Rounding follows one simple rule: look at the digit to the right of the one you’re rounding to. If it’s 5 or above, round up. Below 5, round down.

Year 6 children need to round to the nearest 10, 100, 1,000, 10,000, 100,000 and 1,000,000. The rule is always the same — the only thing that changes is which column you look at.

The mistake to watch for: rounding 4,950 to the nearest hundred. Some children write 4,900 because they see the 5 but then round the wrong column. Slow and steady wins here.

Negative Numbers

Year 6 also need to understand negative numbers. Temperature is the best way in. If it’s 3°C outside and the temperature drops by 5 degrees, what’s the new temperature? That’s −2°C. Most children get this straight away because they’ve heard weather forecasts.

The bit that catches kids out: which is bigger, −3 or −7? Think of it on a number line. −3 is closer to zero, so it’s the bigger number. −7 is further from zero and therefore colder — and smaller.

Place Value in SATs

Place value rarely shows up as a standalone question on the arithmetic paper. But on the reasoning papers, it’s everywhere:

• Ordering numbers — “Put these four numbers in order from smallest to largest.”
• Rounding — “Round 4,567,890 to the nearest 100,000.”
• Digit value — “What is the value of the 7 in 2,370,000?”
• Negative numbers — Temperature problems, counting backwards past zero.

Building Confidence

Here are a few things you can do at home that actually help:

• Read big numbers aloud — Population figures, distances, prices of houses. Make it a game.
• Play “what’s this digit worth?” — Point at a digit in a long number and ask what it represents.
• Use a number line — Draw one from −10 to 10 and practise hopping forwards and backwards.