Year 6 Rounding and solving problems with numbers up to 7 digits worksheet

“Rounding to the nearest million” is free to print, with no account. It is the first sheet in the Year 6 maths unit “Rounding and solving problems with numbers up to 7 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. Week 12 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Rounding to the nearest million

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

Today I can round seven-digit numbers to the nearest million using the critical digit.

A Look back3 min

1.
Write < or > in the box: 4,000,000 3,900,000
2.
How many 100,000s make 1,000,000?
3.
Write 5 million in digits.

B Watch me, then you4 min

In a made-up town, 6,740,000 tickets were sold. Round this to the nearest million.

Watch me

The two nearest millions are 6,000,000 and 7,000,000.

The midpoint between them is 6,500,000.

The critical digit is 7, so 6,740,000 is past the midpoint.

Round up to 7,000,000.

Now you

1.
Round 2,850,000 to the nearest million.

C Your turn5 min

1.
Round 7,150,000 to the nearest million. Circle the answer.
8,000,0007,000,000
2.
Round 7,350,000 to the nearest million. Circle the answer.
8,000,0007,000,000
3.
Round 7,550,000 to the nearest million. Circle the answer.
7,000,0008,000,000
4.
Round 7,950,000 to the nearest million. Circle the answer.
8,000,0007,000,000

Say it out loud: Which digit changed in each row? Did the rounded answer change every time, and why?

D Spot the mistake3 min

Ali says: “4650000 rounds to 4000000, because the 650000 is too small to count.”

1.
What is 4,650,000 to the nearest million?

E Think deeper3 min

1.
Mia's number rounds to 6,000,000 to the nearest million. What is the smallest number it could be?

How did it feel?

I can do it Nearly Not yet

For the grown-up

Rounding to the nearest million · 2 minutes to read

Answers, and what a wrong one tells you

A

1. >

2. 10

3. 5,000,000

B

1. 3,000,000 If your child writes 2000000, they have stopped at the millions and ignored the 850000. The critical digit is 8, which is five or more, so round up to 3000000 (3,000,000).

C

1. 7,000,000

2. 7,000,000 If your child circles 8000000, they may think 3 is close to 5. Three is less than five, so the number stays at 7000000 (7,000,000).

3. 8,000,000 If your child circles 7000000, they may have stopped at the midpoint. The critical digit is 5, which is five or more, so round up to 8000000 (8,000,000).

4. 8,000,000

D

1. 5,000,000 If your child writes 4000000, they looked only at the millions and ignored the rest. The critical digit is 6, so 4650000 is past the midpoint and rounds up to 5000000 (5,000,000).

E

1. 5,500,000 If your child writes 5000000, that number rounds to 5000000 (5 million), not 6000000 (6 million). Check 5500000: its critical digit is 5, so it rounds up to 6000000.

Words to use

Say“Which digit decides it? Look at the hundred-thousands column first.”

Instead of“Just look at the millions and guess which one is closer.”

After the sheet

Find three big numbers in a newspaper or an atlas and round each one to the nearest million, saying the critical digit aloud.

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

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

Rounding to any power of 10(with a plan)
Rounded or precise numbers(with a plan)
Choosing a Quick Method(with a plan)
Choosing the quick way(with a plan)

Every Year 6 maths worksheet

The worksheets plan opens a printable sheet for every lesson in Years 1 to 6, each with its answers on a separate page for you. It costs £6.99 a month or £59 a year for the whole family, with no free trial.

The full StudyDen plan adds the lessons themselves, marked as your child works, with the worksheets included. It is 7 days free, then £29.99 a month.

Get the worksheets Try the full plan free

Both start with a free account; you choose the plan when you sign up.