Year 6 Order, compare and calculate with numbers up to 8 digits worksheet

“Digits and their columns” is free to print, with no account. It is the first sheet in the Year 6 maths unit “Order, compare and calculate with numbers up to 8 digits”, for children aged 10 to 11, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 10 to 11 of the year, 10 sheets in the unit.

Free sample · answers on the last page

Digits and their columns

Name: ____________ · Date: ____________
Year 6 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can work out the value of each digit in a number up to 10 million.

A Look back3 min

1.
1,000 more than 4,300 is
2.
Round 6,482 to the nearest 100.
3.
Write < or > : 4,305 4,350

B Watch me, then you4 min

Look at the number 6,240,917. What is the 4 worth?

Watch me

The 4 is in the ten-thousands column.

4 ten-thousands is 40,000.

So the 4 is worth 40,000.

Now you

1.
In 3,528,604, what is the value of the 2?

C Your turn5 min

1.
What is the value of the 8 in 5,840,000?
2.
What is the value of the 8 in 5,480,000?
3.
What is the value of the 8 in 5,408,000?
4.
What is the value of the 8 in 5,400,800?

Say it out loud: Each row moves the 8 one column to the right. What happens to its value each time?

D Spot the mistake2 min

Ravi says: “The 7 in 3,072,518 is worth 7.”

1.
What is the 7 really worth?

E Think deeper3 min

1.
Write a seven-digit number where the 7 is worth 700,000 and the 2 is worth 2. Explain how you know.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Digits and their columns · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 5300

2. 6500 If your child writes 6400, they rounded down. The tens and ones make 82, which is more than 50, so round up to 6500.

3. < Ask your child to compare the digits from the left. The thousands and hundreds match, so look at the tens: 0 is less than 5.

B

1. 20,000 If your child writes 2, they have used the digit alone. The 2 is in the ten-thousands column, so it is 2 ten-thousands.

C

1. 800,000

2. 80,000 If your child writes 800000, the 8 has stayed in the hundred-thousands column. Move it one column to the right, into the ten-thousands.

3. 8,000 If your child writes 80000, they have put the 8 in the ten-thousands. There is a 0 in the ten-thousands, so the 8 is in the thousands.

4. 800 If your child writes 8, the zeros have been forgotten. The zeros hold the columns in place, so the 8 is in the hundreds column: 8 hundreds.

D

1. 70,000 If your child writes 7, they have read the digit alone. Count the columns: the 7 is in the ten-thousands, so it is 7 ten-thousands.

E

1. Look for: A seven-digit number with 7 in the hundred-thousands column and 2 in the ones column, with a reason. Ask your child to point to the column of the 7 first. Then fill the other columns with digits, using 0 where no units are needed.

Words to use

Say“Which column is that digit in? What is that column worth?”

Instead of“The 9 is a 9, so it is worth 9.”

After the sheet

Write a seven-digit number on a card using 0 for empty columns. Cover one digit and ask what it is worth.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

9 more sheets come with a StudyDen plan, in teaching order:

Which number is greater?(with a plan)
Digits, parts and big numbers(with a plan)
Changing one column at a time(with a plan)
Adding across a million(with a plan)
Crossing the Million(with a plan)
Hidden hundred-thousands(with a plan)
Finding the step size(with a plan)
Estimating on number lines(with a plan)
Column sums in context(with a plan)

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